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

[21] SOME QUASI-LINEAR PARABOLIC EQUATIONS
RAKOTOSON, JM
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (12) : 1163 - 1175
[22] ON QUASI-LINEAR BIDGENERATE PARABOLIC EQUATIONS
EBIHARA, Y
KAMEDA, J
COMPUTATIONAL & APPLIED MATHEMATICS, 1995, 14 (03): : 301 - 315
[23] PONTRYAGIN MAXIMUM PRINCIPLE FOR SEMILINEAR AND QUASI-LINEAR PARABOLIC EQUATIONS WITH POINTWISE STATE CONSTRAINTS
HU, B
YONG, JM
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (06) : 1857 - 1880
[24] A priori estimates for the difference of solutions to quasi-linear elliptic equations
Biegert, Markus
MANUSCRIPTA MATHEMATICA, 2010, 133 (3-4) : 273 - 306
[25] A priori estimates for the difference of solutions to quasi-linear elliptic equations
Markus Biegert
manuscripta mathematica, 2010, 133 : 273 - 306
[26] Uniform estimates of positive solutions to quasi-linear differential equations
Astashova I.V.
Journal of Mathematical Sciences, 2007, 143 (4) : 3198 - 3204
[27] Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equations
DiBenedetto, Emmanuele
Gianazza, Ugo
Vespri, Vincenzo
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2007, 18 (04) : 359 - 364
[28] Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equations
Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, United States
不详
不详
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2007, 18 (04): : 359 - 364
[29] ON THE STRUCTURE OF LIMIT DISTRIBUTIONS OF UNBOUNDED SOLUTIONS OF QUASI-LINEAR PARABOLIC EQUATIONS
GALAKTIONOV, VA
KURDIUMOV, SP
SAMARSKII, AA
DOKLADY AKADEMII NAUK SSSR, 1988, 301 (04): : 781 - 785
[30] SOURCE-TYPE SOLUTIONS OF DEGENERATE QUASI-LINEAR PARABOLIC EQUATIONS
ZHAO, JN
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (02) : 179 - 198

← 1 2 3 4 5 →