Pub Date : 2024-01-08DOI: 10.1080/00036811.2024.2302405
Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung
In this paper, we propose a novel semi-analytic physics informed neural network (PINN) method for solving singularly perturbed boundary value problems. The PINN is a scientific machine learning fra...
{"title":"Semi-analytic PINN methods for singularly perturbed boundary value problems","authors":"Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung","doi":"10.1080/00036811.2024.2302405","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302405","url":null,"abstract":"In this paper, we propose a novel semi-analytic physics informed neural network (PINN) method for solving singularly perturbed boundary value problems. The PINN is a scientific machine learning fra...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"14 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-08DOI: 10.1080/00036811.2024.2302092
Yannan Cao, Der-Chen Chang, Xinfeng Wu
{"title":"Relations between product and flag Triebel-Lizorkin spaces","authors":"Yannan Cao, Der-Chen Chang, Xinfeng Wu","doi":"10.1080/00036811.2024.2302092","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302092","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"2 3","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-05DOI: 10.1080/00036811.2023.2301661
Qihan He, Zongyan Lv
In this paper, we study the existence of ground state solution for the following Kirchhoff equation with combined nonlinearities −(a+b∫RN|∇u|2)Δu=λu+|u|p−2u+μ|u|q−2uinRN,1≤N≤3 with prescribed mass...
{"title":"The existence of ground state normalized solution for Kirchhoff equation","authors":"Qihan He, Zongyan Lv","doi":"10.1080/00036811.2023.2301661","DOIUrl":"https://doi.org/10.1080/00036811.2023.2301661","url":null,"abstract":"In this paper, we study the existence of ground state solution for the following Kirchhoff equation with combined nonlinearities −(a+b∫RN|∇u|2)Δu=λu+|u|p−2u+μ|u|q−2uinRN,1≤N≤3\u0000with prescribed mass...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"76 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139374176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-04DOI: 10.1080/00036811.2023.2301655
Ky Quan Tran, Phan Trong Tien
This paper focuses on approximating stochastic delay differential equations with delayed impulses using Euler-Maruyama-type approximations. One key difference from previous literature is that the i...
{"title":"Numerical approximations of stochastic delay differential equations with delayed impulses","authors":"Ky Quan Tran, Phan Trong Tien","doi":"10.1080/00036811.2023.2301655","DOIUrl":"https://doi.org/10.1080/00036811.2023.2301655","url":null,"abstract":"This paper focuses on approximating stochastic delay differential equations with delayed impulses using Euler-Maruyama-type approximations. One key difference from previous literature is that the i...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"4 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139374247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.1080/00036811.2023.2300396
Jian-Rong Zhou, Heng Li, Yongzhi Xu
The primary aim of this paper is to investigate the asymptotic distribution of the zeros of certain classes of hypergeometric q+1Fq polynomials. We employ classical analytical techniques, including...
{"title":"Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials","authors":"Jian-Rong Zhou, Heng Li, Yongzhi Xu","doi":"10.1080/00036811.2023.2300396","DOIUrl":"https://doi.org/10.1080/00036811.2023.2300396","url":null,"abstract":"The primary aim of this paper is to investigate the asymptotic distribution of the zeros of certain classes of hypergeometric q+1Fq polynomials. We employ classical analytical techniques, including...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"27 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139082996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.1080/00036811.2023.2299714
Cyrille Kenne, Landry Djomegne, Pascal Zongo
The main purpose of this paper is the study of second-order optimality conditions for the bilinear control of a strongly degenerate parabolic equation. The equation is degenerate at the boundary of...
本文的主要目的是研究强退化抛物方程双线性控制的二阶最优性条件。该方程在...
{"title":"Second-order optimality conditions for the bilinear optimal control of a degenerate equation","authors":"Cyrille Kenne, Landry Djomegne, Pascal Zongo","doi":"10.1080/00036811.2023.2299714","DOIUrl":"https://doi.org/10.1080/00036811.2023.2299714","url":null,"abstract":"The main purpose of this paper is the study of second-order optimality conditions for the bilinear control of a strongly degenerate parabolic equation. The equation is degenerate at the boundary of...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"5 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139094043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1080/00036811.2023.2298853
Haide Gou, He Yang
We research extremal S-asymptotically ω-periodic mild solutions to elastic systems by using upper and lower solutions. In our first result, it is assumed that the semigroup is compact. In addition,...
{"title":"Monotone iterative technique for delay elastic systems in ordered Banach space","authors":"Haide Gou, He Yang","doi":"10.1080/00036811.2023.2298853","DOIUrl":"https://doi.org/10.1080/00036811.2023.2298853","url":null,"abstract":"We research extremal S-asymptotically ω-periodic mild solutions to elastic systems by using upper and lower solutions. In our first result, it is assumed that the semigroup is compact. In addition,...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"103 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139080093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1080/00036811.2023.2300401
Astrit Ferizi, Katerina Hadzi-Velkova Saneva
In this paper, we establish Abelian and Tauberian results that characterize the quasiasymptotic behavior of Lizorkin distributions via the asymptotic behavior of their shearlet transform.
在本文中，我们建立了阿贝尔和陶伯结果，通过其小剪切变换的渐近行为来描述利佐金分布的准渐近行为。
{"title":"The shearlet transform and asymptotic behavior of Lizorkin distributions","authors":"Astrit Ferizi, Katerina Hadzi-Velkova Saneva","doi":"10.1080/00036811.2023.2300401","DOIUrl":"https://doi.org/10.1080/00036811.2023.2300401","url":null,"abstract":"In this paper, we establish Abelian and Tauberian results that characterize the quasiasymptotic behavior of Lizorkin distributions via the asymptotic behavior of their shearlet transform.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139094085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-27DOI: 10.1080/00036811.2023.2299705
Shiqiang Zhao, Kaijun Zhang
This paper investigates the bipolar non-isentropic compressible Euler-Maxwell system in R3 and T3. For both problems, we establish the global existence of smooth solutions in the general Besov spac...
本文研究了 R3 和 T3 中的双极非各向同性可压缩欧拉-麦克斯韦系统。对于这两个问题，我们建立了一般贝索夫空间中光滑解的全局存在性。
{"title":"Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework","authors":"Shiqiang Zhao, Kaijun Zhang","doi":"10.1080/00036811.2023.2299705","DOIUrl":"https://doi.org/10.1080/00036811.2023.2299705","url":null,"abstract":"This paper investigates the bipolar non-isentropic compressible Euler-Maxwell system in R3 and T3. For both problems, we establish the global existence of smooth solutions in the general Besov spac...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"111 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139054103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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