Extinction of solutions of parabolic equations with variable anisotropic nonlinearities

被引：0

作者：

S. Antontsev

S. Shmarev

机构：

[1] Universidade da Beira Interior,Departamento de Matemática

[2] Universidad Complutence,Departamento de Matemática Aplicada

[3] Universidad de Oviedo,Departaménto de Matemáticas

来源：

Proceedings of the Steklov Institute of Mathematics | 2008年 / 261卷

关键词：

Weak Solution; Parabolic Equation; STEKLOV Institute; Orlicz Space; Free Boundary Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions that generalize the evolutional p(x, t)-Laplacian. We study the property of extinction of solutions in finite time. In particular, we show that the extinction may take place even in the borderline case when the equation becomes linear as t → ∞.

引用

页码：11 / 21

页数：10

共 50 条

[11] Extinction of solutions for some nonlinear parabolic equations
Yves Belaud
Journal of Mathematical Sciences, 2010, 171 (1) : 1 - 8
[12] Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities
Univ of Lisbon, Lisboa, Portugal
Nonlinear Anal Theory Methods Appl, 2 (187-120):
[13] Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
Cockburn, B
Gripenberg, G
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 151 (02) : 231 - 251
[14] Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities
Grossinho, MR
Nkashama, MN
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (02) : 187 - 210
[15] ALMOST PERIODIC SOLUTIONS OF ANISOTROPIC ELLIPTIC-PARABOLIC EQUATIONS WITH VARIABLE EXPONENTS OF NONLINEARITY
Bokalo, Mykola
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[16] Anisotropic Solutions of a System of Nonlinear Parabolic Equations
E. I. Semenov
Differential Equations, 2002, 38 : 1375 - 1377
[17] NONNEGATIVE WEAK SOLUTIONS OF ANISOTROPIC PARABOLIC EQUATIONS
Zhan, Huashui
Feng, Zhaosheng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 17 (04) : 1648 - 1662
[18] Anisotropic solutions of a system of nonlinear parabolic equations
Semenov, EI
DIFFERENTIAL EQUATIONS, 2002, 38 (09) : 1375 - 1377
[19] FINITE EXTINCTION TIME FOR SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS
LAIR, AV
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (01) : 1 - 8
[20] Extinction of solutions in parabolic equations with different diffusion operators
Liu, Bingchen
Wang, Yuxi
Wang, Lu
APPLICABLE ANALYSIS, 2021, 100 (16) : 3600 - 3612

← 1 2 3 4 5 →