Large time behavior of solutions to parabolic equations with Neumann boundary conditions

被引：16

作者：

Da Lio, Francesca ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

asymptotic behavior; ergodic problems; viscosity solutions; boundary value problems for parabolic PDEs;

D O I：

10.1016/j.jmaa.2007.06.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are interested in the large time behavior as t -> +infinity of the viscosity solutions of parabolic equations with nonlinear Neumann type boundary conditions in connection with ergodic boundary problems which have been recently studied by Barles and the author in [G. Barles, F. Da Lio, On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions, Ann. Inst. H. Poincare Anal. Non Lineaire 22 (5) (2005) 521-541]. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：384 / 398

页数：15

共 50 条

[1] A Probabilistic Approach to Large Time Behaviour of Viscosity Solutions of Parabolic Equations with Neumann Boundary Conditions
Hu, Ying
Madec, Pierre-Yves
APPLIED MATHEMATICS AND OPTIMIZATION, 2016, 74 (02) : 345 - 374
[2] A Probabilistic Approach to Large Time Behaviour of Viscosity Solutions of Parabolic Equations with Neumann Boundary Conditions
Ying Hu
Pierre-Yves Madec
Applied Mathematics & Optimization, 2016, 74 : 345 - 374
[3] Large time behavior of solutions to some degenerate parabolic equations
Igbida, N
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2001, 26 (7-8) : 1385 - 1408
[4] Viscosity solutions of fully nonlinear second order parabolic equations with L1 dependence in time and Neumann boundary conditions
Bourgoing, Mariane
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (03) : 763 - 800
[5] Estimates of solutions of impulsive parabolic equations under Neumann boundary condition
Gao, WL
Wang, JH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 283 (02) : 478 - 490
[6] BOUNDARY BEHAVIOR AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A CLASS OF PARABOLIC EQUATIONS WITH BOUNDARY DEGENERACY
Wang, Chunpeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 1041 - 1060
[7] Large time behavior for some nonlinear degenerate parabolic equations
Ley, Olivier
Vinh Duc Nguyen
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2014, 102 (02): : 293 - 314
[8] On the asymptotic behavior of solutions for some semilinear parabolic and elliptic equations of second order with nonlinear boundary conditions
Boni, TK
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (07) : 895 - 908
[9] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A CLASS OF SEMILINEAR PARABOLIC EQUATIONS WITH BOUNDARY DEGENERACY
Wang, Chunpeng
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (09) : 3125 - 3140
[10] LARGE TIME BEHAVIOR OF ODE TYPE SOLUTIONS TO PARABOLIC p-LAPLACIAN TYPE EQUATIONS
Eom, Junyong
Sato, Ryuichi
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (09) : 4373 - 4386

← 1 2 3 4 5 →