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Electronic Journal of Differential Equations最新文献

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Inverse nodal problems for Dirac operators and their numerical approximations 狄拉克算子的反节点问题及其数值逼近
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-06 DOI: 10.58997/ejde.2023.81
Fei Song, Yu-Ping Wang, S. Akbarpoor
{"title":"Inverse nodal problems for Dirac operators and their numerical approximations","authors":"Fei Song, Yu-Ping Wang, S. Akbarpoor","doi":"10.58997/ejde.2023.81","DOIUrl":"https://doi.org/10.58997/ejde.2023.81","url":null,"abstract":"In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"7 9","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138594244","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
Turrittin's normal forms for linear systems of meromorphic ODEs over the real field 实域上分形 ODE 线性系统的 Turrittin 正则表达式
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-27 DOI: 10.58997/ejde.2023.79
M. Barkatou, Félix Álvaro Carnicero, Fernando Sanz
{"title":"Turrittin's normal forms for linear systems of meromorphic ODEs over the real field","authors":"M. Barkatou, Félix Álvaro Carnicero, Fernando Sanz","doi":"10.58997/ejde.2023.79","DOIUrl":"https://doi.org/10.58997/ejde.2023.79","url":null,"abstract":"We establish a version of Turrittin's result on normal forms of linear systems of meromorphic ODEs when the base field K is real and closed. Both the proposed normal forms and the transformations used have coefficients in K. Our motivation comes from applications to the study of trajectories of real analytic vector fields (already treated in the literature in dimension three). For the sake of clarity and completeness, we first review Turrittin's theorem in the case of an algebraically closed base field. For more information see https://ejde.math.txstate.edu/Volumes/2023/79/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"12 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139231298","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
Solutions for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces Lei-Lin和Lei-Lin- gevrey空间中临界和次临界分数耗散Navier-Stokes方程的解
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-10 DOI: 10.58997/ejde.2023.78
Wilberclay G. Melo, Nata F. Rocha, Natielle dos Santos Costa
{"title":"Solutions for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces","authors":"Wilberclay G. Melo, Nata F. Rocha, Natielle dos Santos Costa","doi":"10.58997/ejde.2023.78","DOIUrl":"https://doi.org/10.58997/ejde.2023.78","url":null,"abstract":"In this article, we prove the existence of a unique global solution for the critical case of the generalized Navier-Stokes equations in Lei-Lin and Lei-Lin-Gevrey spaces, by assuming that the initial data is small enough. Moreover, we obtain a unique local solution for the subcritical case of this system, for any initial data, in these same spaces. It is important to point out that our main result is obtained by discussing some properties of the solutions for the heat equation with fractional dissipation.
 For more information see https://ejde.math.txstate.edu/Volumes/2023/78/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" 1074","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186457","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
Stability of ground states of nonlinear Schrodinger systems 非线性薛定谔系统基态的稳定性
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-01 DOI: 10.58997/ejde.2023.76
Liliana Cely
{"title":"Stability of ground states of nonlinear Schrodinger systems","authors":"Liliana Cely","doi":"10.58997/ejde.2023.76","DOIUrl":"https://doi.org/10.58997/ejde.2023.76","url":null,"abstract":"In this article, we study existence and stability of ground states for a system of two coupled nonlinear Schrodinger equations with logarithmic nonlinearity. Moreover, global well-posedness is verified for the Cauchy problem in (H^{1}(mathbb{R})times H^{1}(mathbb{R})) and in an appropriate Orlicz space.
 For more information see https://ejde.math.txstate.edu/Volumes/2023/76/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"241 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135371150","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
Concentration of nodal solutions for semiclassical quadratic Choquard equations 半经典二次Choquard方程节点解的集中
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-30 DOI: 10.58997/ejde.2023.75
Lu Yang, Xiangqing Liu, Jianwen Zhou
{"title":"Concentration of nodal solutions for semiclassical quadratic Choquard equations","authors":"Lu Yang, Xiangqing Liu, Jianwen Zhou","doi":"10.58997/ejde.2023.75","DOIUrl":"https://doi.org/10.58997/ejde.2023.75","url":null,"abstract":"In this article concerns the semiclassical Choquard equation (-varepsilon^2 Delta u +V(x)u = varepsilon^{-2}( frac{1}{|cdot|}* u^2)u) for (x in mathbb{R}^3) and small (varepsilon). We establish the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function (V), by means of the perturbation method and the method of invariant sets of descending flow. For more information see https://ejde.math.txstate.edu/Volumes/2023/75/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"431 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136069114","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
Impulsive regular q-Dirac systems 脉冲正则q-Dirac系统
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-27 DOI: 10.58997/ejde.2023.74
Bilender P. Allahverdiev, Huseyin Tuna, Hamlet A Isayev
{"title":"Impulsive regular q-Dirac systems","authors":"Bilender P. Allahverdiev, Huseyin Tuna, Hamlet A Isayev","doi":"10.58997/ejde.2023.74","DOIUrl":"https://doi.org/10.58997/ejde.2023.74","url":null,"abstract":"This article concerns a regular $q$-Dirac system under impulsive conditions. We study the existence of solutions, symmetry of the corresponding operator, eigenvalues and eigenfunctions of the system. Also we obtain Green's function and its basic properties. For more informatin see https://ejde.math.txstate.edu/Volumes/2023/74/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"4 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136317156","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 decay of solutions to coupled systems of nonlinear wave equations with variable exponents 变指数非线性波动方程耦合系统解的存在性与衰减性
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-24 DOI: 10.58997/ejde.2023.73
Oulia Bouhoufani, Salim A. Messaoudi, Mostafa Zahri
{"title":"Existence and decay of solutions to coupled systems of nonlinear wave equations with variable exponents","authors":"Oulia Bouhoufani, Salim A. Messaoudi, Mostafa Zahri","doi":"10.58997/ejde.2023.73","DOIUrl":"https://doi.org/10.58997/ejde.2023.73","url":null,"abstract":"In this article, we consider a coupled system of two hyperbolic equations with variable exponents in the damping and source terms, where the dampings are modilated with time-dependent coefficients (alpha(t), beta(t)). First, we state and prove an existence result of a global weak solution, using Galerkin's method with compactness arguments. Then, by a Lemma due to Martinez, we establish the decay rates of the solution energy, under suitable assumptions on the variable exponents (m) and (r) and the coefficients ( alpha) and (beta). To illustrate our theoretical results, we give some numerical examples.
 For more information see https://ejde.math.txstate.edu/Volumes/2023/73/abstr.html
","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135315785","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
Qualitative properties of solutions to a reaction-diffusion equation with weighted strong reaction 带加权强反应的反应扩散方程解的定性性质
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-23 DOI: 10.58997/ejde.2023.72
Razvan Gabriel Iagar, Ana I. Munoz, Ariel Sanchez
{"title":"Qualitative properties of solutions to a reaction-diffusion equation with weighted strong reaction","authors":"Razvan Gabriel Iagar, Ana I. Munoz, Ariel Sanchez","doi":"10.58997/ejde.2023.72","DOIUrl":"https://doi.org/10.58997/ejde.2023.72","url":null,"abstract":"We study the existence and qualitative properties of solutions to the Cauchy problem associated to the quasilinear reaction-diffusion equation $$ partial_tu=Delta u^m+(1+|x|)^{sigma}u^p, $$ posed for ((x,t)inmathbb{R}^Ntimes(0,infty)), where (m>1), (pin(0,1)) and (sigma>0). Initial data are taken to be bounded, non-negative and compactly supported. In the range when (m+pgeq2), we prove existence of local solutions with a finite speed of propagation of their supports for compactly supported initial conditions. We also show in this case that, for a given compactly supported initial condition, there exist infinitely many solutions to the Cauchy problem, by prescribing the evolution of their interface. In the complementary range (m+p<2), we obtain new Aronson-Benilan estimates satisfied by solutions to the Cauchy problem, which are of independent interest as a priori bounds for the solutions. We apply these estimates to establish infinite speed of propagation of the supports of solutions if (m+p<2), that is, (u(x,t)>0) for any (xinmathbb{R}^N), (t>0), even in the case when the initial condition (u_0) is compactly supported. For more information see https://ejde.math.txstate.edu/Volumes/2023/72/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"47 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135414856","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
G-convergence of elliptic operators in non divergence form in R^n R^n中非发散形式椭圆算子的g收敛性
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-20 DOI: 10.58997/ejde.2023.71
Luigi D'Onofrio
{"title":"G-convergence of elliptic operators in non divergence form in R^n","authors":"Luigi D'Onofrio","doi":"10.58997/ejde.2023.71","DOIUrl":"https://doi.org/10.58997/ejde.2023.71","url":null,"abstract":"The aim of this note is to prove a characterization of the G-limit of a sequence of elliptic operators in non-divergence form. As we consider any dimension, for this class of operators, it is not enough to deal with measurable and bounded coefficients so we need extra regularity assumptions on them.&#x0D; For more information see https://ejde.math.txstate.edu/Volumes/2023/71/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135618836","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
Lower bounds at infinity for solutions to second order elliptic equations 二阶椭圆方程无穷远处解的下界
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-16 DOI: 10.58997/ejde.2023.69
Tu Nguyen
{"title":"Lower bounds at infinity for solutions to second order elliptic equations","authors":"Tu Nguyen","doi":"10.58997/ejde.2023.69","DOIUrl":"https://doi.org/10.58997/ejde.2023.69","url":null,"abstract":"We study lower bounds at infinity for solutions to $$ |Pu|leq M|x|^{-delta_1}|nabla u|+M|x|^{-delta_{0}}|u| $$ where $P$ is a second order elliptic operator. Our results are of quantitative nature and generalize those obtained in [3,6].&#x0D; For more information see https://ejde.math.txstate.edu/Volumes/2023/69/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"223 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136142329","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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