Pub Date : 2024-08-07DOI: 10.1080/00036811.2024.2382892
I. V. Zhenyakova, M. F. Cherepova
We consider a single layer potential generated by the fundamental solution of a second-order parabolic equation with Dini continuous coefficients. The potential is considered in a semibounded spati...
{"title":"Jump relation for the conormal derivative of parabolic single layer potential","authors":"I. V. Zhenyakova, M. F. Cherepova","doi":"10.1080/00036811.2024.2382892","DOIUrl":"https://doi.org/10.1080/00036811.2024.2382892","url":null,"abstract":"We consider a single layer potential generated by the fundamental solution of a second-order parabolic equation with Dini continuous coefficients. The potential is considered in a semibounded spati...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938095","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}
In this paper, we investigate the existence of a solution for a fractional-order differential inclusion when the multi-valued map is supposed to be non-convex and satisfies a pseudo-Lipschitz prope...
在本文中，我们研究了当多值映射假定为非凸并且满足伪 Lipschitz Prope 时分数阶微分包含的解的存在性。
{"title":"Fractional-order differential inclusion with pseudo-Lipschitz multi-valued map","authors":"Fatine Aliouane, Dalila Azzam-Laouir, Somia Tamouza","doi":"10.1080/00036811.2024.2386018","DOIUrl":"https://doi.org/10.1080/00036811.2024.2386018","url":null,"abstract":"In this paper, we investigate the existence of a solution for a fractional-order differential inclusion when the multi-valued map is supposed to be non-convex and satisfies a pseudo-Lipschitz prope...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938097","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 : 2024-08-05DOI: 10.1080/00036811.2024.2378209
Shraban Das, Kanailal Mahato, Sourav Das
In this article, we obtained some fruitful results of the coupled fractional Fourier transform and its kernel. We defined pseudo-differential operators related to coupled fractional Fourier transfo...
本文获得了耦合分数傅里叶变换及其核的一些丰硕成果。我们定义了与耦合分数傅里叶变换相关的伪微分算子。
{"title":"Boundedness of pseudo-differential operators via coupled fractional Fourier transform","authors":"Shraban Das, Kanailal Mahato, Sourav Das","doi":"10.1080/00036811.2024.2378209","DOIUrl":"https://doi.org/10.1080/00036811.2024.2378209","url":null,"abstract":"In this article, we obtained some fruitful results of the coupled fractional Fourier transform and its kernel. We defined pseudo-differential operators related to coupled fractional Fourier transfo...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938096","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 : 2024-08-03DOI: 10.1080/00036811.2024.2372034
Changbing Hu
In this article we study the pointwise behavior of the fundamental solution S(t,x) to the nonlocal diffusion model ut=D(J∗u−u) on R, S(t,x) can be written as e−Dtδ(x)+S0(t,x), where S0(t,x) is call...
{"title":"Pointwise estimates on the fundamental solution to nonlocal diffusion equation","authors":"Changbing Hu","doi":"10.1080/00036811.2024.2372034","DOIUrl":"https://doi.org/10.1080/00036811.2024.2372034","url":null,"abstract":"In this article we study the pointwise behavior of the fundamental solution S(t,x) to the nonlocal diffusion model ut=D(J∗u−u) on R, S(t,x) can be written as e−Dtδ(x)+S0(t,x), where S0(t,x) is call...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938091","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 : 2024-07-31DOI: 10.1080/00036811.2024.2381213
Tosiya Miyasita
We consider a nonlocal hyperbolic problem. It arises in the field of MEMS control. First, we review the stationary problem and state that there exists a unique and no solution for small and large p...
{"title":"On a quenching problem of hyperbolic MEMS equation with a nonlocal term","authors":"Tosiya Miyasita","doi":"10.1080/00036811.2024.2381213","DOIUrl":"https://doi.org/10.1080/00036811.2024.2381213","url":null,"abstract":"We consider a nonlocal hyperbolic problem. It arises in the field of MEMS control. First, we review the stationary problem and state that there exists a unique and no solution for small and large p...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938092","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 : 2024-07-29DOI: 10.1080/00036811.2024.2381208
Bin Han, Chibin Yang, Na Zhao
In this paper, we study the three-dimensional axially symmetric non-resistive incompressible magnetohydrodynamic system. By establishing a rough blow-up criteria on ωθr, we show a Ladyzhenskaya–Pro...
{"title":"Regularity criteria for the three-dimensional axially symmetric non-resistive incompressible magnetohydrodynamic system","authors":"Bin Han, Chibin Yang, Na Zhao","doi":"10.1080/00036811.2024.2381208","DOIUrl":"https://doi.org/10.1080/00036811.2024.2381208","url":null,"abstract":"In this paper, we study the three-dimensional axially symmetric non-resistive incompressible magnetohydrodynamic system. By establishing a rough blow-up criteria on ωθr, we show a Ladyzhenskaya–Pro...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938039","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 : 2024-07-29DOI: 10.1080/00036811.2024.2384536
Ruslan Kulaev, Soslan Karkuzaev
In this article, we study a fourth-order differential operator Lλ on a graph, depending on a real parameter λ. The operator Lλ is connected with a model of the Euler–Bernoulli beam system. Our cons...
在这篇文章中，我们研究了一个图上的四阶微分算子 Lλ，它取决于一个实数参数 λ。我们的共识是...
{"title":"On the positive invertibility of a differential operator on a graph","authors":"Ruslan Kulaev, Soslan Karkuzaev","doi":"10.1080/00036811.2024.2384536","DOIUrl":"https://doi.org/10.1080/00036811.2024.2384536","url":null,"abstract":"In this article, we study a fourth-order differential operator Lλ on a graph, depending on a real parameter λ. The operator Lλ is connected with a model of the Euler–Bernoulli beam system. Our cons...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141938244","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 : 2024-07-26DOI: 10.1080/00036811.2024.2384539
G. Coclite, Lorenzo di Ruvo
{"title":"H\u0000 2\u0000 -solutions for an Ostrosky–Hunter type equation","authors":"G. Coclite, Lorenzo di Ruvo","doi":"10.1080/00036811.2024.2384539","DOIUrl":"https://doi.org/10.1080/00036811.2024.2384539","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141800285","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 : 2024-07-26DOI: 10.1080/00036811.2024.2377765
Brahim Allam, Z. Mghazli, Iyas Naji
{"title":"Modeling and mathematical analysis of root water uptake in the rhizosphere","authors":"Brahim Allam, Z. Mghazli, Iyas Naji","doi":"10.1080/00036811.2024.2377765","DOIUrl":"https://doi.org/10.1080/00036811.2024.2377765","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799438","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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