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
Ying Hu
Pierre-Yves Madec
[J]. Applied Mathematics & Optimization, 2016, 74 : 345 - 374
[2] A Probabilistic Approach to Large Time Behaviour of Viscosity Solutions of Parabolic Equations with Neumann Boundary Conditions
Hu, Ying
Madec, Pierre-Yves
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2016, 74 (02): : 345 - 374
[3] Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions
Wang, Yifu
Yin, Jingxue
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2069 - 2076
[4] On the global existence of solutions to quasilinear parabolic equations with homogeneous neumann boundary conditions
Yin, Zhaoyang
[J]. GLASGOW MATHEMATICAL JOURNAL, 2005, 47 : 237 - 248
[5] Large time behavior of solutions to degenerate parabolic equations
Shaohua Chen
Runzhang Xu
[J]. Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 301 - 309
[6] A time marching strategy for solving parabolic and elliptic equations with Neumann boundary conditions
Liu, Rex Kuan-Shuo
Sheu, Tony Wen-Hann
[J]. NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2018, 74 (02) : 481 - 497
[7] Large time behavior of solutions to degenerate parabolic equations
Chen, Shaohua
Xu, Runzhang
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (02): : 301 - 309
[8] BEHAVIOR OF SOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS AT LARGE TIME
VISHNEVSKII, MP
ZELENYAK, TI
LAVRENTEV, MM
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1995, 36 (03) : 435 - 453
[9] Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
Gao, Xuyan
Ding, Juntang
Guo, Bao-Zhu
[J]. APPLICABLE ANALYSIS, 2009, 88 (02) : 183 - 191
[10] On blow-up of solutions for a class of nonlinear parabolic equations with Neumann boundary conditions
Ding, JT
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (02): : 265 - 275

← 1 2 3 4 5 →