Abstract In this paper we study a model of full Von-Karman system coupled to the thermoelastic equations, with rotational forces, nor clamped boundary conditions. Our fundamental goal is to establish the existence as well as the uniqueness of a weak solution for the so-called global energy. As the end we displays a numerical simulation.
{"title":"Existence, uniqueness weak solution for a dynamic Full von Karman System of thermoelasticity","authors":"J. Oudaani","doi":"10.2478/mjpaa-2022-0026","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0026","url":null,"abstract":"Abstract In this paper we study a model of full Von-Karman system coupled to the thermoelastic equations, with rotational forces, nor clamped boundary conditions. Our fundamental goal is to establish the existence as well as the uniqueness of a weak solution for the so-called global energy. As the end we displays a numerical simulation.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43456151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L1-data involving the parameter p.
{"title":"Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data","authors":"S. Ajagjal","doi":"10.2478/mjpaa-2022-0023","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0023","url":null,"abstract":"Abstract This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L1-data involving the parameter p.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45514726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this work we extend the concept of (r; t; s)-nuclear operators presented by Lapresté in (Studia math., T. LVII. 1976, 47 – 83) to n-homogeneous polynomials. Factorization and inclusion properties are described. Under some conditions, we also characterize the topological dual of the studied space.
{"title":"On (r; t; s)-nuclear polynomials","authors":"A. Bougoutaia, A. Belacel, H. Hamdi","doi":"10.2478/mjpaa-2022-0021","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0021","url":null,"abstract":"Abstract In this work we extend the concept of (r; t; s)-nuclear operators presented by Lapresté in (Studia math., T. LVII. 1976, 47 – 83) to n-homogeneous polynomials. Factorization and inclusion properties are described. Under some conditions, we also characterize the topological dual of the studied space.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49209071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract We analyze a finite volume scheme for a nonlinear reaction-diffusion system applied to image processing. First, we demonstrate the existence of a solution to the finite volume scheme. Then, based on the derivation of a series of a priori estimates and the use of Kolmogorov’s compactness criterion, we prove that the solution to the finite volume scheme converges to the weak solution. In the numerical experiments, we show the effectiveness of the proposed model with respect to the modified (in the sense of Catté, Lions, Morel and Coll) Perona-Malik nonlinear image selective smoothing equation in terms of preserving small details, texture, and fine structures.
{"title":"Convergence of a finite volume scheme for a parabolic system applied to image processing","authors":"Jamal Attmani, Abdelghafour Atlas, Fahd Karami","doi":"10.2478/mjpaa-2022-0027","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0027","url":null,"abstract":"Abstract We analyze a finite volume scheme for a nonlinear reaction-diffusion system applied to image processing. First, we demonstrate the existence of a solution to the finite volume scheme. Then, based on the derivation of a series of a priori estimates and the use of Kolmogorov’s compactness criterion, we prove that the solution to the finite volume scheme converges to the weak solution. In the numerical experiments, we show the effectiveness of the proposed model with respect to the modified (in the sense of Catté, Lions, Morel and Coll) Perona-Malik nonlinear image selective smoothing equation in terms of preserving small details, texture, and fine structures.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42381932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω) f in mathcal{C}left( {bar Omega } right) cap W_0^{1,pleft( . right)}left( Omega right) . If in addition Ω is bounded, then we give a sufficient condition for which the mapping f↦ℒp(.),fΩ f mapsto mathcal{L}_{pleft( . right),f}^Omega from a set of real extended functions f : ∂Ω −→ ℝ to the nonlinear harmonic space (Ω,ℋℒp(.)) is injective, where ℒp(.),fΩ mathcal{L}_{pleft( . right),f}^Omega denotes the Perron-Wiener-Brelot solution for the Dirichlet problem: { ℒp(.)u:=-Δp(.)u+ℬ(.,u)=0in Ω;u=fon ∂Ω, left{ {matrix{{{mathcal{L}_{pleft( . right)}}u: = - {Delta _{pleft( . right)}}u + mathcal{B}left( {.,u} right) = 0} hfill & {in,Omega ;} hfill cr {u = f} hfill & {on,partial Omega ,} hfill cr } } right. where ℬ is a given Carathéodory function satisfies some structural conditions.
设Ω∧∈n是一个开集。我们给出了零迹函数f∈ (Ω¯)∩W01,p(.)(Ω) f in mathcal{C}left({bar Omega} right) cap W_0^{1,pleft(.)右)}左(Omega 右)。如果另外Ω是有界的，那么我们给出了映射f _ (.)，fΩ f mapsto mathcal{L}_{pleft(.)的充分条件。右)，f}^ Ω从一组实扩展函数f:∂Ω−→∞到非线性调和空间(Ω， h h(.))是内射，其中，h h (.)，fΩ mathcal{L}_{p左(.)。右),f} ^ ω表示Perron-Wiener-Brelot狄利克雷问题解决方案:{ℒp u(.): = -Δp (.) u +ℬ(u), = 0Ω;u =丰∂Ω,左 矩阵{{{{{ mathcal {L} _ {p 离开(。右)}}u: = - { δ _{p左(。u + mathcal{B}left({B}})，u} right) = 0} hfill & {in，Omega;} hfill cr {u = f} hfill & {on，partial Omega，} hfill cr}} right。在ℬ给定Caratheodory函数满足一些结构性条件。
{"title":"Capacitary characterization of variable exponent Sobolev trace spaces","authors":"Mohamed Berghout","doi":"10.2478/mjpaa-2022-0020","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0020","url":null,"abstract":"Abstract Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω) f in mathcal{C}left( {bar Omega } right) cap W_0^{1,pleft( . right)}left( Omega right) . If in addition Ω is bounded, then we give a sufficient condition for which the mapping f↦ℒp(.),fΩ f mapsto mathcal{L}_{pleft( . right),f}^Omega from a set of real extended functions f : ∂Ω −→ ℝ to the nonlinear harmonic space (Ω,ℋℒp(.)) is injective, where ℒp(.),fΩ mathcal{L}_{pleft( . right),f}^Omega denotes the Perron-Wiener-Brelot solution for the Dirichlet problem: { ℒp(.)u:=-Δp(.)u+ℬ(.,u)=0in Ω;u=fon ∂Ω, left{ {matrix{{{mathcal{L}_{pleft( . right)}}u: = - {Delta _{pleft( . right)}}u + mathcal{B}left( {.,u} right) = 0} hfill & {in,Omega ;} hfill cr {u = f} hfill & {on,partial Omega ,} hfill cr } } right. where ℬ is a given Carathéodory function satisfies some structural conditions.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48349143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we introduce a new family of stochastic Lundqvist-Korf diffusion process, defined from a g-power of the Lundqvist-Korf diffusion process. First, we determine the probabilistic characteristics of the process, such as its analytic expression, the transition probability density function from the corresponding It ˆo stochastic differential equation and obtain the conditional and non-conditional mean functions. We then study the statistical inference in this process. The parameters of this process are estimated by using the maximum likelihood estimation method with discrete sampling, thus we obtain a nonlinear equation, which is achieved via the simulated annealing algorithm. Finally, the results of the paper are applied to simulated data.
{"title":"A γ-power stochastic Lundqvist-Korf diffusion process: Computational aspects and simulation","authors":"E. Abdenbi, Nafidi Ahmed","doi":"10.2478/mjpaa-2022-0025","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0025","url":null,"abstract":"Abstract In this paper, we introduce a new family of stochastic Lundqvist-Korf diffusion process, defined from a g-power of the Lundqvist-Korf diffusion process. First, we determine the probabilistic characteristics of the process, such as its analytic expression, the transition probability density function from the corresponding It ˆo stochastic differential equation and obtain the conditional and non-conditional mean functions. We then study the statistical inference in this process. The parameters of this process are estimated by using the maximum likelihood estimation method with discrete sampling, thus we obtain a nonlinear equation, which is achieved via the simulated annealing algorithm. Finally, the results of the paper are applied to simulated data.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42094909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE). More precisely, we will treat in a first time the well-posedness of GPE model with a degeneracy occurring in the interior of the space variable domain, i.e ∃x0 ∈ (0, L), s. t k(x0) = 0, where k stands for the diffusion coefficient and L is a positive constant. Thereafter, we will focus ourselves on some numerical simulations showing the influence of a different parameters, especially the interior degeneracy, on the behavior of the wave solution corresponding to our model in a special case of the function k namely k(x) = |x − x0| α, α ∈ (0, 1).
{"title":"Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation","authors":"M. Alahyane, A. Chrifi, Y. Echarroudi","doi":"10.2478/mjpaa-2022-0018","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0018","url":null,"abstract":"Abstract In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE). More precisely, we will treat in a first time the well-posedness of GPE model with a degeneracy occurring in the interior of the space variable domain, i.e ∃x0 ∈ (0, L), s. t k(x0) = 0, where k stands for the diffusion coefficient and L is a positive constant. Thereafter, we will focus ourselves on some numerical simulations showing the influence of a different parameters, especially the interior degeneracy, on the behavior of the wave solution corresponding to our model in a special case of the function k namely k(x) = |x − x0| α, α ∈ (0, 1).","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44348606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract This paper is concerned with the Bayesian inference for the dependent parameters of stochastic SIR epidemic model in a closed population. The estimation framework involves the introduction of m − 1 latent data between every pair of observations. Kibble’s bivariate gamma distribution is considered as a good candidate prior density of parameters, they give an appropriate frame to model the dependence between the parameters. A Markov chain Monte Carlo methods are then used to sample the posterior distribution of the model parameters. Simulated datasets are used to illustrate the proposed methodology.
{"title":"Bayesian Inference for SIR Epidemic Model with dependent parameters","authors":"Abdelaziz Qaffou, H. Maroufy, Mokhtar Zbair","doi":"10.2478/mjpaa-2022-0017","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0017","url":null,"abstract":"Abstract This paper is concerned with the Bayesian inference for the dependent parameters of stochastic SIR epidemic model in a closed population. The estimation framework involves the introduction of m − 1 latent data between every pair of observations. Kibble’s bivariate gamma distribution is considered as a good candidate prior density of parameters, they give an appropriate frame to model the dependence between the parameters. A Markov chain Monte Carlo methods are then used to sample the posterior distribution of the model parameters. Simulated datasets are used to illustrate the proposed methodology.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69233421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we are concerned with the study of the spectrum for the nonlinear Steklov problem of the form { Δpu=| u |p-2uin Ω,| ∇u |p-2∂u∂v=λ‖ u ‖q,∂Ωp-q| u |q-2uon ∂Ω, left{ {matrix{{{Delta _p}u = {{left| u right|}^{p - 2}}u} hfill & {{rm{in}},Omega ,} hfill cr {{{left| {nabla u} right|}^{p - 2}}{{partial u} over {partial v}} = lambda left| u right|_{q,partial Omega }^{p - q}{{left| u right|}^{q - 2}}u} hfill & {{rm{on}},partial Omega ,} hfill cr } } right. where Ω is a smooth bounded domain in ℝN(N ≥ 1), λ is a real number which plays the role of eigenvalue and the unknowns u ∈ W1,p(Ω). Using the Ljusterneck-Shnirelmann theory on C1 manifold and Sobolev trace embedding we prove the existence of an increasing sequence positive of eigenvalues (λk)k≥1, for the above problem. We then establish that the first eigenvalue is simple and isolated.
摘要本文研究了形式为{Δpu=|u|p-2uin的非线性Steklov问题的谱 Ω，|Şu|p-2⏴u⏴v=λ‖u‖q，⏴Ωp-q|u|q-2uon ∂Ω，left矩阵｛｛Delta _p｝u＝｛left | u right |｝^｛p-2｝u｝hfill&｛rm｛in｝｝，Omega，｝hfill cr｛rm｛on｝｝， partial Omega，｝ hfill cr｝ right。其中Ω是中的光滑有界域ℝN（N≥1），λ是一个起特征值作用的实数，未知数u∈W1，p（Ω）。利用C1流形上的Ljusterneck-Shnielmann理论和Sobolev迹嵌入，我们证明了上述问题的特征值（λk）k≥1的递增序列正的存在性。然后，我们确定第一特征值是简单且孤立的。
{"title":"Steklov problems for the p−Laplace operator involving Lq-norm","authors":"M. D. M. Alaoui, Abdelouahd El Khalil, A. Touzani","doi":"10.2478/mjpaa-2022-0016","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0016","url":null,"abstract":"Abstract In this paper, we are concerned with the study of the spectrum for the nonlinear Steklov problem of the form { Δpu=| u |p-2uin Ω,| ∇u |p-2∂u∂v=λ‖ u ‖q,∂Ωp-q| u |q-2uon ∂Ω, left{ {matrix{{{Delta _p}u = {{left| u right|}^{p - 2}}u} hfill & {{rm{in}},Omega ,} hfill cr {{{left| {nabla u} right|}^{p - 2}}{{partial u} over {partial v}} = lambda left| u right|_{q,partial Omega }^{p - q}{{left| u right|}^{q - 2}}u} hfill & {{rm{on}},partial Omega ,} hfill cr } } right. where Ω is a smooth bounded domain in ℝN(N ≥ 1), λ is a real number which plays the role of eigenvalue and the unknowns u ∈ W1,p(Ω). Using the Ljusterneck-Shnirelmann theory on C1 manifold and Sobolev trace embedding we prove the existence of an increasing sequence positive of eigenvalues (λk)k≥1, for the above problem. We then establish that the first eigenvalue is simple and isolated.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42410483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[ u ]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm, left( {1 + bleft[ u right]_alpha ^2} right)left( {{{left( { - {Delta _x}} right)}^alpha }u - {Delta _y}u} right) + Vleft( {x,y} right)u = fleft( {x,y,u} right),left( {x,y} right) in {mathbb{R}^N} = {mathbb{R}^n} times {mathbb{R}^m}, where [ u ]α=(∫ℝN(| (-Δx)α2u |2+| ∇yu |2)dxdy)12 {left[ u right]_alpha } = {left( {int {_{{mathbb{R}^N}}left( {{{left| {{{left( { - {Delta _x}} right)}^{{alpha over 2}}}u} right|}^2} + {{left| {{nabla _y}u} right|}^2}} right)dxdy} } right)^{{1 over 2}}} . Based on variational approach and a variant of the quantitative strain lemma, for each b > 0, we show the existence of a least energy nodal solution ub. In addition, a convergence property of ub as b ↘ 0 is established.
{"title":"Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation","authors":"Mohammed Rahmani, M. Rahmani, A. Anane, M. Massar","doi":"10.2478/mjpaa-2022-0015","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0015","url":null,"abstract":"Abstract In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[ u ]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm, left( {1 + bleft[ u right]_alpha ^2} right)left( {{{left( { - {Delta _x}} right)}^alpha }u - {Delta _y}u} right) + Vleft( {x,y} right)u = fleft( {x,y,u} right),left( {x,y} right) in {mathbb{R}^N} = {mathbb{R}^n} times {mathbb{R}^m}, where [ u ]α=(∫ℝN(| (-Δx)α2u |2+| ∇yu |2)dxdy)12 {left[ u right]_alpha } = {left( {int {_{{mathbb{R}^N}}left( {{{left| {{{left( { - {Delta _x}} right)}^{{alpha over 2}}}u} right|}^2} + {{left| {{nabla _y}u} right|}^2}} right)dxdy} } right)^{{1 over 2}}} . Based on variational approach and a variant of the quantitative strain lemma, for each b > 0, we show the existence of a least energy nodal solution ub. In addition, a convergence property of ub as b ↘ 0 is established.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43377328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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