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Stochastic Averaging Principle for Mixed Stochastic Differential Equations 混合随机微分方程的随机平均原理
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.3
Zhi Li, Yarong Peng null, Y. Jing
{"title":"Stochastic Averaging Principle for Mixed Stochastic Differential Equations","authors":"Zhi Li, Yarong Peng null, Y. Jing","doi":"10.4208/jpde.v35.n3.3","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.3","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89165755","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
Dynamics for Three Dimensional Generalized Navier- Stokes Equations with Delay 三维广义Navier- Stokes时滞方程动力学
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.2
Rui Lu, Chunxiao Guo, Xin-Guang Yang null, P. Zhang
{"title":"Dynamics for Three Dimensional Generalized Navier- Stokes Equations with Delay","authors":"Rui Lu, Chunxiao Guo, Xin-Guang Yang null, P. Zhang","doi":"10.4208/jpde.v35.n2.2","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.2","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75252164","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: 1
Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme 用欧拉格式和有限差分格式研究常微分方程和偏微分方程数值解的稳定性判据
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.6
Najmuddin Ahmad null, Shiv Charan
{"title":"Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme","authors":"Najmuddin Ahmad null, Shiv Charan","doi":"10.4208/jpde.v35.n3.6","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.6","url":null,"abstract":". In this paper we have discussed solution and stability analysis of ordinary and partial differential equation with boundary value problem. We investigated pe-riodic stability in Eulers scheme and also discussed PDEs by finite difference scheme. Numerical example has been discussed finding nature of stability. All given result more accurate other than existing methods.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81716531","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
Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity 具有部分黏度的二维磁微极流体方程解的整体存在性和时间衰减率
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.5
Yuzhu Wang null, Yuzhu Wang
{"title":"Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity","authors":"Yuzhu Wang null, Yuzhu Wang","doi":"10.4208/jpde.v35.n2.5","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.5","url":null,"abstract":". In this paper, we investigate the initial value problem for the two-dimensional magneto-micropolar fluid equations with partial viscosity. We prove that global existence of smooth large solutions by the energy method. Furthermore, with aid of the Fourier splitting methods, optimal time-decay rates of global smooth large solutions are also established.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83139525","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: 1
A Weighted Singular Trudinger-Moser Inequality 加权奇异Trudinger-Moser不等式
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.2
YU Peng
{"title":"A Weighted Singular Trudinger-Moser Inequality","authors":"YU Peng","doi":"10.4208/jpde.v35.n3.2","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.2","url":null,"abstract":". In this paper, we obtained the extremal function for a weighted singular Trudinger-Moser inequality by blow-up analysis in the Euclidean space R 2 . This ex-tends recent results of Hou (J. Inequal. Appl., 2018) and similar result was proved by Zhu (Sci. China Math., 2021).","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77594143","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
Exact Boundary Controllability of Fifth-order KdV Equation Posed on the Periodic Domain 周期域上五阶KdV方程的精确边界可控性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.4
Shuning Yang null, Xiangqing Zhao
{"title":"Exact Boundary Controllability of Fifth-order KdV Equation Posed on the Periodic Domain","authors":"Shuning Yang null, Xiangqing Zhao","doi":"10.4208/jpde.v35.n2.4","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.4","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82992504","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 Behavior of Solutions to an $omega$-diffusion Equation on the Graph $ ω $-扩散方程解在图上的爆破行为
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.3
Liping Zhu null, Lin Huang
{"title":"Blowup Behavior of Solutions to an $omega$-diffusion Equation on the Graph","authors":"Liping Zhu null, Lin Huang","doi":"10.4208/jpde.v35.n2.3","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.3","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76227262","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
Boundedness for a Class of Operators on Weighted Morrey Space with RD-measure 带rd测度的加权Morrey空间上一类算子的有界性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n4.7
Xiaona Cui, Yongjin Lu null, Mengmeng Li
{"title":"Boundedness for a Class of Operators on Weighted Morrey Space with RD-measure","authors":"Xiaona Cui, Yongjin Lu null, Mengmeng Li","doi":"10.4208/jpde.v35.n4.7","DOIUrl":"https://doi.org/10.4208/jpde.v35.n4.7","url":null,"abstract":". In this paper, we study a class of sublinear operators and their commutators with a weighted BMO function. We first give the definition of a weighted Morrey space L p , κ µ , ω ( X ) where X is an RD-measure and ω is the weight function. The weighted Morrey spaces arise from studying the local behavior of solutions to certain partial differential equations. We will show that the aforementioned class of operators and their communtators with a weighted BMO function are bounded in the weighted Morrey space L p , κ µ , ω ( X ) provided that the weight function ω belongs to the A p ( µ ) -class and satisfies the reverse H¨older’s condition.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74043010","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 a Critical Nonlocal Problem in Dimension Three 三维临界非局部问题的正基态解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n4.6
X. Qian
{"title":"Positive Ground State Solutions for a Critical Nonlocal Problem in Dimension Three","authors":"X. Qian","doi":"10.4208/jpde.v35.n4.6","DOIUrl":"https://doi.org/10.4208/jpde.v35.n4.6","url":null,"abstract":". In this paper, we are interested in the following nonlocal problem with critical exponent where a , b are positive constants, 2 < p < 6, Ω is a smooth bounded domain in R 3 and λ > 0 is a parameter. By variational methods, we prove that problem has a positive ground state solution u b for λ > 0 sufficiently large. Moreover, we take b as a parameter and study the asymptotic behavior of u b when b ց 0.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83189563","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
On Local Well posedness of the Schrödinger-Boussinesq Systems 关于Schrödinger-Boussinesq系统的局部适定性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n4.5
N. Null
{"title":"On Local Well posedness of the Schrödinger-Boussinesq Systems","authors":"N. Null","doi":"10.4208/jpde.v35.n4.5","DOIUrl":"https://doi.org/10.4208/jpde.v35.n4.5","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72499577","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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