POINTWISE ESTIMATES FOR SOLUTIONS OF SINGULAR QUASI-LINEAR PARABOLIC EQUATIONS

被引：3

作者：

Liskevich, Vitali ^{[1
]}

Skrypnik, Igor I. ^{[2
]}

机构：

[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales

[2] Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 04期

关键词：

Singular parabolic equations; pointwise estimates; Wolff potential;

D O I：

10.3934/dcdss.2013.6.1029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of singular divergence type quasi-linear parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via the nonlinear Wolff potentials.

引用

页码：1029 / 1042

页数：14

共 50 条

[41] Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations
Bendahmane, M
Karlsen, KH
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2004, 36 (02) : 405 - 422
[42] POINTWISE DECAY FOR THE SOLUTIONS OF DEGENERATE AND SINGULAR PARABOLIC EQUATIONS
Juutinen, Petri
Lindqvist, Peter
ADVANCES IN DIFFERENTIAL EQUATIONS, 2009, 14 (7-8) : 663 - 684
[43] PERIODICITY AND STABILITY FOR LINEAR AND QUASI-LINEAR PARABOLIC EQUATIONS
KALLINA, C
SIAM JOURNAL ON APPLIED MATHEMATICS, 1970, 18 (03) : 601 - &
[44] Upper estimates for blow-up solutions of a quasi-linear parabolic equation
Anada, Koichi
Ishiwata, Tetsuya
Ushijima, Takeo
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2024, 41 (01) : 381 - 405
[45] Upper estimates for blow-up solutions of a quasi-linear parabolic equation
Koichi Anada
Tetsuya Ishiwata
Takeo Ushijima
Japan Journal of Industrial and Applied Mathematics, 2024, 41 : 381 - 405
[46] Parameter dependent quasi-linear parabolic equations
Gentile, CB
Primo, MRT
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (05) : 801 - 812
[47] Uniform estimates for positive solutions of quasi-linear ordinary differential equations
Astashova, I. V.
IZVESTIYA MATHEMATICS, 2008, 72 (06) : 1141 - 1160
[48] Pointwise estimates for the fundamental solutions of a class of singular parabolic problems
F. Ragnedda
S. Vernier Piro
V. Vespri
Journal d'Analyse Mathématique, 2013, 121 : 235 - 253
[49] POINTWISE ESTIMATES FOR THE FUNDAMENTAL SOLUTIONS OF A CLASS OF SINGULAR PARABOLIC PROBLEMS
Ragnedda, F.
Piro, S. Vernier
Vespri, V.
JOURNAL D ANALYSE MATHEMATIQUE, 2013, 121 : 235 - 253
[50] SIMILARITY SOLUTIONS FOR A QUASI-LINEAR PARABOLIC EQUATION
GUO, JS
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1995, 37 : 253 - 266

← 1 2 3 4 5 →