On Systems of Singular Quasilinear Parabolic Equations and Inequalities

被引：0

作者：

E. Mitidieri

S. I. Pokhozhaev

机构：

来源：

Journal of Mathematical Sciences | 2003年 / 114卷 / 4期

关键词：

Parabolic Equation; Special Test; Nontrivial Solution; Main Term; Quasilinear Parabolic Equation;

D O I：

10.1023/A:1022213230966

中图分类号：

学科分类号：

摘要：

This article concerns systems of singular second-order parabolic equations or inequalities with nonlinear and various main terms. General and special theorems of nonexistence of nontrivial solutions are established. The proofs are based on the method of special test functions developed by the authors.

引用

页码：1529 / 1546

页数：17

共 50 条

[31] Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution
Fabio Punzo
Annali di Matematica Pura ed Applicata, 2012, 191 : 311 - 338
[32] A quasilinear parabolic singular perturbation problem
Lederman, Claudia
Oelz, Dietmar
INTERFACES AND FREE BOUNDARIES, 2008, 10 (04) : 447 - 482
[33] Behavior of solutions of quasilinear parabolic inequalities
Kon'kov, AA
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2003, 10 (04) : 467 - 472
[34] Systems of quasilinear parabolic equations in Rn and systems of quadratic backward stochastic differential equations
Bensoussan, Alain
Frehse, Jens
Yam, Sheung Chi Phillip
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 149 : 135 - 185
[35] On Blow-Up of Solutions of Some Systems of Quasilinear Parabolic Inequalities
Muravnik A.
Journal of Mathematical Sciences, 2014, 202 (6) : 859 - 868
[36] Quasilinear parabolic equations in LP
Rehberg, J
NONLINEAR ELLIPTIC AND PARABOLIC PROBLEMS: A SPECIAL TRIBUTE TO THE WORK OF HERBERT AMANN, MICHEL CHIPOT AND JOACHIM ESCHER, 2005, 64 : 413 - 419
[37] ABSTRACT QUASILINEAR PARABOLIC EQUATIONS
LUNARDI, A
MATHEMATISCHE ANNALEN, 1984, 267 (03) : 395 - 415
[38] ATTRACTORS OF QUASILINEAR PARABOLIC EQUATIONS
BABIN, AV
VISHIK, MI
DOKLADY AKADEMII NAUK SSSR, 1982, 264 (04): : 780 - 784
[39] HARNACK TYPE INEQUALITIES FOR SOME DOUBLY NONLINEAR SINGULAR PARABOLIC EQUATIONS
Fornaro, Simona
Sosio, Maria
Vespri, Vincenzo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (12) : 5909 - 5926
[40] Systems of Quasilinear Parabolic Equations with Discontinuous Coefficients and Continuous Delays
Qi-Jian Tan
Advances in Difference Equations, 2011

← 1 2 3 4 5 →