发布求助
文献互助 智能选刊 最新文献

Communications on Pure and Applied Analysis最新文献

筛选
英文 中文
Global existence and Scattering for nonlinear Schrödinger equations with time-dependent damping 具有时变阻尼的非线性Schrödinger方程的全局存在性和散射
IF 1 3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023069
Chourouk Bamri, S. Tayachi
{"title":"Global existence and Scattering for nonlinear Schrödinger equations with time-dependent damping","authors":"Chourouk Bamri, S. Tayachi","doi":"10.3934/cpaa.2023069","DOIUrl":"https://doi.org/10.3934/cpaa.2023069","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 velocity alignment model with a bonding force on complete Riemannian manifolds 完全黎曼流形上带结合力的速度对准模型
IF 1 3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023091
Zhengyang Qiao, Yicheng Liu, Xiao Wang
{"title":"A velocity alignment model with a bonding force on complete Riemannian manifolds","authors":"Zhengyang Qiao, Yicheng Liu, Xiao Wang","doi":"10.3934/cpaa.2023091","DOIUrl":"https://doi.org/10.3934/cpaa.2023091","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Erratum to "The combined effect in one space dimension beyond the general theory for nonlinear wave equations" “超越非线性波动方程一般理论的一维综合效应”的勘误
IF 1 3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023096
K. Morisawa, Takiko Sasaki, H. Takamura
{"title":"Erratum to \"The combined effect in one space dimension beyond the general theory for nonlinear wave equations\"","authors":"K. Morisawa, Takiko Sasaki, H. Takamura","doi":"10.3934/cpaa.2023096","DOIUrl":"https://doi.org/10.3934/cpaa.2023096","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Periodic solutions to a nonlinear Dirac-Klein-Gordon system with concave and convex nonlinearities 一类具有凹凸非线性的非线性Dirac-Klein-Gordon系统的周期解
IF 1 3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023046
Hua-Yang Wang, Yanheng Ding, Pan Chen
{"title":"Periodic solutions to a nonlinear Dirac-Klein-Gordon system with concave and convex nonlinearities","authors":"Hua-Yang Wang, Yanheng Ding, Pan Chen","doi":"10.3934/cpaa.2023046","DOIUrl":"https://doi.org/10.3934/cpaa.2023046","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria 希尔伯特空间上柯西问题的控制:一个基于符号准则的全局方法
3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023113
Duván Cardona, Julio Delgado, Brian Grajales, Michael Ruzhansky
{"title":"Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria","authors":"Duván Cardona, Julio Delgado, Brian Grajales, Michael Ruzhansky","doi":"10.3934/cpaa.2023113","DOIUrl":"https://doi.org/10.3934/cpaa.2023113","url":null,"abstract":"Let $ A $ and $ B $ be invariant linear operators with respect to a decomposition $ {H_{j}}_{jin mathbb{N}} $ of a Hilbert space $ mathcal{H} $ in subspaces of finite dimension. We give necessary and sufficient conditions for the controllability of the Cauchy problem$ u_t = Au+Bv, , , u(0) = u_0, $in terms of the (global) matrix-valued symbols $ sigma_A $ and $ sigma_B $ of $ A $ and $ B, $ respectively, associated to the decomposition $ {H_{j}}_{jin mathbb{N}} $. Then, we present some applications including the controllability of the Cauchy problem on compact manifolds for elliptic operators and the controllability of fractional diffusion models for Hörmander sub-Laplacians on compact Lie groups. We also give conditions for the controllability of wave and Schrödinger equations in these settings.","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135057391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 of an evolution equation with singular potential 具有奇异势的演化方程动力学
3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023117
Renato Colucci
{"title":"Dynamics of an evolution equation with singular potential","authors":"Renato Colucci","doi":"10.3934/cpaa.2023117","DOIUrl":"https://doi.org/10.3934/cpaa.2023117","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135317637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Almost sure scattering of the energy-critical NLS in $ d>6 $ $ d>6 $中能量临界NLS的几乎肯定散射
3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023106
Katie Marsden
{"title":"Almost sure scattering of the energy-critical NLS in $ d>6 $","authors":"Katie Marsden","doi":"10.3934/cpaa.2023106","DOIUrl":"https://doi.org/10.3934/cpaa.2023106","url":null,"abstract":"We study the energy-critical nonlinear Schrödinger equation with randomised initial data in dimensions $ d>6 $. We prove that the Cauchy problem is almost surely globally well-posed with scattering for randomised super-critical initial data in $ H^s(mathbb{R}^d) $ whenever $ s>max{frac{4d-1}{3(2d-1)},frac{d^2+6d-4}{(2d-1)(d+2)}} $. The randomisation is based on a decomposition of the data in physical space, frequency space and the angular variable. This extends previously known results in dimension 4 [18]. The main difficulty in the generalisation to high dimensions is the non-smoothness of the nonlinearity.","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135549390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 nonexistence of sign-changing solutions for singular superlinear equations on exterior domains 奇异超线性方程外域上变符号解的存在性与不存在性
3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023107
Joseph Iaia
{"title":"Existence and nonexistence of sign-changing solutions for singular superlinear equations on exterior domains","authors":"Joseph Iaia","doi":"10.3934/cpaa.2023107","DOIUrl":"https://doi.org/10.3934/cpaa.2023107","url":null,"abstract":"In this paper we study radial solutions of $ Delta u + K(|x|) f(u) = 0 $ in the exterior of the ball of radius $ R>0 $ in $ {mathbb R}^{N} $ where $ f $ grows superlinearly at infinity and is singular at $ 0 $ with $ f(u) sim -frac{1}{|u|^{q-1}u} $ and $ 0<q<1 $ for small $ u $. We assume $ K(|x|) sim |x|^{-alpha} $ for large $ |x| $ and establish existence of an infinite number of sign-changing solutions when $ N+q(N-2) <alpha <2(N-1). $ We also prove nonexistence for $ 0<alpha < N+ q(N-2) $.","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135550567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 of infinitely many small periodic solutions for a semilinear variable coefficients wave equation with resonant potential 一类具有共振势的半线性变系数波动方程的无穷多小周期解的存在性
3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023111
Hui Wei
{"title":"Existence of infinitely many small periodic solutions for a semilinear variable coefficients wave equation with resonant potential","authors":"Hui Wei","doi":"10.3934/cpaa.2023111","DOIUrl":"https://doi.org/10.3934/cpaa.2023111","url":null,"abstract":"This paper is devoted to the study of periodic solutions to a semilinear variable coefficients wave equation with resonance potential under the periodic boundary conditions. This mathematical model is used to account for the forced vibrations of a nonhomogeneous string and the propagation of seismic waves in nonisotropic media. We characterize some properties of the spectrum of the variable coefficients wave operator for the periodic boundary conditions, especially we prove the existence of the essential spectral point. Under some suitable assumptions on the resonant potential, by combining variational methods and the Galerkin approximation argument, we get the infinitely many small periodic solutions of the resonant problem. Our results contain the case of zero potential and can be applied to the corresponding classical one dimensional wave equation.","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136053981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Pointwise estimates for systems of coupled $ p $-Laplacian elliptic equations 耦合拉普拉斯椭圆方程系统的点态估计
IF 1 3区 数学
Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.3934/cpaa.2023013
A. Aghajani, H. Shahgholian
{"title":"Pointwise estimates for systems of coupled $ p $-Laplacian elliptic equations","authors":"A. Aghajani, H. Shahgholian","doi":"10.3934/cpaa.2023013","DOIUrl":"https://doi.org/10.3934/cpaa.2023013","url":null,"abstract":"","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":"6 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信