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Journal of Partial Differential Equations最新文献

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A New Regularization Method for a Parameter Identification Problem in a Non-linear Partial Differential Equation 非线性偏微分方程参数辨识问题的正则化新方法
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.3
N. M. T. null, Roy Samprita Das
{"title":"A New Regularization Method for a Parameter Identification Problem in a Non-linear Partial Differential Equation","authors":"N. M. T. null, Roy Samprita Das","doi":"10.4208/jpde.v36.n2.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.3","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88304820","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}
引用次数: 0
Blowup of the Solutions for a Reaction-AdvectionDiffusion Equation with Free Boundaries 具有自由边界的反应-平流-扩散方程解的放大
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.5
Jian YANG
{"title":"Blowup of the Solutions for a Reaction-AdvectionDiffusion Equation with Free Boundaries","authors":"Jian YANG","doi":"10.4208/jpde.v36.n4.5","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.5","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194308","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}
引用次数: 0
Well-Posedness and Blow-Up for the Fractional Schrödinger- Choquard Equation 分数阶Schrödinger- Choquard方程的适定性和放大
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n1.6
Lu Tao, Yajuan Zhao null, Yongsheng Li
{"title":"Well-Posedness and Blow-Up for the Fractional Schrödinger- Choquard Equation","authors":"Lu Tao, Yajuan Zhao null, Yongsheng Li","doi":"10.4208/jpde.v36.n1.6","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.6","url":null,"abstract":". In this paper, we study the well-posedness and blow-up solutions for the fractional Schr¨odinger equation with a Hartree-type nonlinearity together with a power-type subcritical or critical perturbations. For nonradial initial data or radial initial data, we prove the local well-posedness for the defocusing and the focusing cases with sub-critical or critical nonlinearity. We obtain the global well-posedness for the defocusing case, and for the focusing mass-subcritical case or mass-critical case with initial data small enough. We also investigate blow-up solutions for the focusing mass-critical problem.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84727062","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}
引用次数: 0
Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory 一类具有非线性阻尼和记忆的拟线性粘弹性方程的渐近稳定性
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.2
Xiaoming PENG null, Yadong SHANG
{"title":"Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory","authors":"Xiaoming PENG null, Yadong SHANG","doi":"10.4208/jpde.v36.n4.2","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.2","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194307","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}
引用次数: 0
Regularity Criteria of the Magnetohydrodynamic Equations in a Bounded Domain 有界区域内磁流体动力学方程的正则性判据
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.5
Jishan Fan null, Q. Ju
{"title":"Regularity Criteria of the Magnetohydrodynamic Equations in a Bounded Domain","authors":"Jishan Fan null, Q. Ju","doi":"10.4208/jpde.v36.n3.5","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.5","url":null,"abstract":". Regularity criteria in terms of bounds for the pressure are derived for the 3D MHD equations in a bounded domain with slip boundary conditions. A list of three regularity criteria is shown.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87779136","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}
引用次数: 0
The Eigenvalues of a Class of Elliptic Differential Operators 一类椭圆微分算子的特征值
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n1.4
Mohammad Javad Habibi Vosta Kolaei null, S. Azami
{"title":"The Eigenvalues of a Class of Elliptic Differential Operators","authors":"Mohammad Javad Habibi Vosta Kolaei null, S. Azami","doi":"10.4208/jpde.v36.n1.4","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.4","url":null,"abstract":". Consider ( M , g ) as an n -dimensional compact Riemannian manifold. In this paper we are going to study a class of elliptic differential operators which appears naturally in the study of hypersurfaces with constant mean curvature and also the study of variation theory for 1-area functional.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89040201","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}
引用次数: 0
The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time 史瓦西时空中半线性波动方程光滑解的寿命
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.6
Qiong LOU null, Shaoying LUO
{"title":"The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time","authors":"Qiong LOU null, Shaoying LUO","doi":"10.4208/jpde.v36.n4.6","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.6","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194304","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}
引用次数: 0
Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term 一类具有简并能量阻尼和源项的平板方程的能量衰减
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.4
Gongwei Liu, Yang null, Hongwei Zhang
{"title":"Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term","authors":"Gongwei Liu, Yang null, Hongwei Zhang","doi":"10.4208/jpde.v36.n3.4","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.4","url":null,"abstract":". In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73438262","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}
引用次数: 0
Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production 具有非线性信号产生的拟线性抛物-椭圆趋化系统的爆破性和有界性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.2
Ruxi Cao null, Zhongping Li
{"title":"Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production","authors":"Ruxi Cao null, Zhongping Li","doi":"10.4208/jpde.v36.n3.2","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.2","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79475035","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}
引用次数: 0
Modified Differential Transform Method for Solving Black-Scholes Pricing Model of European Option Valuation Paying Continuous Dividends 求解连续股利欧式期权定价Black-Scholes模型的修正微分变换方法
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.4
Manzoor AHMAD, Rajshree MISHRA null, Renu JAIN
{"title":"Modified Differential Transform Method for Solving Black-Scholes Pricing Model of European Option Valuation Paying Continuous Dividends","authors":"Manzoor AHMAD, Rajshree MISHRA null, Renu JAIN","doi":"10.4208/jpde.v36.n4.4","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.4","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194305","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}
引用次数: 0
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