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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":"112 1","pages":""},"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":"12 1","pages":"0"},"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
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":"72 1","pages":"0"},"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
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":"7 1","pages":""},"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":"74 1","pages":""},"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
Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent 具有一般非线性和临界指数Schrödinger-Poisson系统的正基态解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n1.5
Qingfang Chen null, Jia‐Feng Liao
{"title":"Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent","authors":"Qingfang Chen null, Jia‐Feng Liao","doi":"10.4208/jpde.v36.n1.5","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.5","url":null,"abstract":". In this paper, we consider the following Schr¨odinger-Poisson system","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"25 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81077927","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
Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation 广义Kudryashov-Sinelshchikov方程的不变子空间和精确解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.3
Jina Li, Gai-zhu Qu, Jianlin Zhang null, Xuehui Ji
{"title":"Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation","authors":"Jina Li, Gai-zhu Qu, Jianlin Zhang null, Xuehui Ji","doi":"10.4208/jpde.v36.n3.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.3","url":null,"abstract":". In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary differential equations, and the exact solutions of the classified equation are obtained by solving the system of ordinary differential equations. The method gives logarithmic, polynomial, exponential, and trigonometric solutions for equations. The primary accomplishments of this work are displaying how to obtain the exact solutions of the classified equations and giving the stability analysis of reduced ordinary differential equations.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"74 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76128756","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
Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $mathbb{R}^n$ $mathbb{R}^n$中包含$L^p$-范数的改进Trudinger-Moser不等式的极值函数
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.7
YANG Liu null, Xiaomeng LI
{"title":"Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $mathbb{R}^n$","authors":"YANG Liu null, Xiaomeng LI","doi":"10.4208/jpde.v36.n4.7","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.7","url":null,"abstract":". Let W 1, n ( R n ) be the standard Sobolev space. For any τ > 0 and p > n > 2, we denote","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194309","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
A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity 具有空间异质承载能力的扩散捕食-食饵模型
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.8
Jiawei CHEN null, Biao WANG
{"title":"A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity","authors":"Jiawei CHEN null, Biao WANG","doi":"10.4208/jpde.v36.n4.8","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.8","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194312","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
Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model 一类抛物型趋化模型的自由边界问题
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.3
Wenbin LYU
{"title":"Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model","authors":"Wenbin LYU","doi":"10.4208/jpde.v36.n4.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.3","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194310","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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