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On the Cauchy problem for the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime 关于de Sitter时空中具有Hartree型半线性项的Klein-Gordon方程的Cauchy问题
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-06-01 DOI: 10.57262/die034-0708-351
M. Nakamura, H. Takashima
{"title":"On the Cauchy problem for the Klein-Gordon equation with the\u0000 Hartree type semilinear term in the de Sitter spacetime","authors":"M. Nakamura, H. Takashima","doi":"10.57262/die034-0708-351","DOIUrl":"https://doi.org/10.57262/die034-0708-351","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45675723","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
Remarks on the Ginzburg-Landau-Chern-Simons equations 关于ginzburg - landau - chen - simons方程的注解
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-06-01 DOI: 10.57262/die034-0708-337
Hyungjin Huh
{"title":"Remarks on the Ginzburg-Landau-Chern-Simons\u0000 equations","authors":"Hyungjin Huh","doi":"10.57262/die034-0708-337","DOIUrl":"https://doi.org/10.57262/die034-0708-337","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43113101","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
Indirect stabilization of Timoshenko systems with one local memory damping 具有一个局部记忆阻尼的Timoshenko系统的间接镇定
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-06-01 DOI: 10.57262/die034-0708-401
Kun‐Peng Jin
{"title":"Indirect stabilization of Timoshenko systems with one local\u0000 memory damping","authors":"Kun‐Peng Jin","doi":"10.57262/die034-0708-401","DOIUrl":"https://doi.org/10.57262/die034-0708-401","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42336209","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
Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space 全空间上二维和三维非自治随机对流Brinkman-Forchheimer方程随机回调吸引子的存在性和上半连续性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-05-28 DOI: 10.57262/die036-0506-367
K. Kinra, M. T. Mohan
{"title":"Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space","authors":"K. Kinra, M. T. Mohan","doi":"10.57262/die036-0506-367","DOIUrl":"https://doi.org/10.57262/die036-0506-367","url":null,"abstract":"In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministic forcing term in $mathbb{R}^d$ $ (d=2, 3)$: $$frac{partialboldsymbol{u}}{partial t}-mu Deltaboldsymbol{u}+(boldsymbol{u}cdotnabla)boldsymbol{u}+alphaboldsymbol{u}+beta|boldsymbol{u}|^{r-1}boldsymbol{u}+nabla p=boldsymbol{f},quad nablacdotboldsymbol{u}=0,$$ where $rgeq1$. We prove the existence of a unique global pullback attractor for non-autonomous CBF equations, for $d=2$ with $rgeq1$, $d=3$ with $r>3$ and $d=r=3$ with $2betamugeq1$. For the same cases, we show the existence of a unique random pullback attractor for non-autonomous stochastic CBF equations with multiplicative white noise. Finally, we establish the upper semicontinuity of the random pullback attractor, that is, the random pullback attractor converges towards the global pullback attractor when the noise intensity approaches to zero. Since we do not have compact Sobolev embeddings on unbounded domains, the pullback asymptotic compactness of the solution is proved by the method of energy equations given by Ball. For the case of Navier-Stokes equations defined on $mathbb{R}^d$, such results are not available and the presence of Darcy term $alphaboldsymbol{u}$ helps us to establish the above mentioned results for CBF equations.","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42656296","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: 7
Nonplanar traveling fronts for nonlocal dispersal equations with bistable nonlinearity 具有双稳态非线性的非局部扩散方程的非平面行波
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-04-01 DOI: 10.57262/die034-0506-265
Wan-Tong Li, Hongwei Niu, Zhi-Cheng Wang
{"title":"Nonplanar traveling fronts for nonlocal dispersal equations with bistable nonlinearity","authors":"Wan-Tong Li, Hongwei Niu, Zhi-Cheng Wang","doi":"10.57262/die034-0506-265","DOIUrl":"https://doi.org/10.57262/die034-0506-265","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41543800","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: 2
On the best constant in fractional $p$-Poincaré inequalities on cylindrical domains 圆柱域上分式$p$-Poincaré不等式的最佳常数
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-03-31 DOI: 10.57262/die034-1112-691
Kaushik Mohanta, Firoj Sk
{"title":"On the best constant in fractional $p$-Poincaré inequalities on cylindrical domains","authors":"Kaushik Mohanta, Firoj Sk","doi":"10.57262/die034-1112-691","DOIUrl":"https://doi.org/10.57262/die034-1112-691","url":null,"abstract":"We investigate the best constants for the regional fractional $p$-Poincar'e inequality and the fractional $p$-Poincar'e inequality in cylindrical domains. For the special case $p=2$, the result was already known due to Chowdhury-Csat'{o}-Roy-Sk [Study of fractional Poincar'{e} inequalities on unbounded domains, Discrete Contin. Dyn. Syst., 41(6), 2021]. We addressed the asymptotic behaviour of the first eigenvalue of the nonlocal Dirichlet $p$-Laplacian eigenvalue problem when the domain is becoming unbounded in several directions.","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43779214","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: 7
Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces 一致局部Lebesgue空间中对流扩散方程Cauchy问题的适定性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-03-01 DOI: 10.57262/die034-0304-223
Md. Rabiul Haque, Norisuke Ioku, T. Ogawa, R. Sato
{"title":"Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces","authors":"Md. Rabiul Haque, Norisuke Ioku, T. Ogawa, R. Sato","doi":"10.57262/die034-0304-223","DOIUrl":"https://doi.org/10.57262/die034-0304-223","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41268347","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
On the controllability of a nonlinear dispersive system in a weighted $L^2$-space 加权$L^2$-空间中非线性色散系统的可控性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-03-01 DOI: 10.57262/die034-0304-127
Oscar A. Sierra Fonseca, A. Pazoto
{"title":"On the controllability of a nonlinear dispersive system in a weighted $L^2$-space","authors":"Oscar A. Sierra Fonseca, A. Pazoto","doi":"10.57262/die034-0304-127","DOIUrl":"https://doi.org/10.57262/die034-0304-127","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45596181","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
Degree counting theorems for $2times 2$ non-symmetric singular Liouville systems 2times2$非对称奇异Liouville系统的次数计数定理
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-03-01 DOI: 10.57262/die034-0304-183
Yi Gu
{"title":"Degree counting theorems for $2times 2$ non-symmetric singular Liouville systems","authors":"Yi Gu","doi":"10.57262/die034-0304-183","DOIUrl":"https://doi.org/10.57262/die034-0304-183","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46135767","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 fractional Hamiltonian systems with indefinite sign sub-quadratic potentials 具有不定符号次二次势的分数阶哈密顿系统
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2021-03-01 DOI: 10.57262/die034-0304-165
Penghan Chen, Mengli Li, Yuanyuan Zhang
{"title":"On fractional Hamiltonian systems with indefinite sign sub-quadratic potentials","authors":"Penghan Chen, Mengli Li, Yuanyuan Zhang","doi":"10.57262/die034-0304-165","DOIUrl":"https://doi.org/10.57262/die034-0304-165","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44512950","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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