Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent

被引：0

作者：

Alkhutov Y.A. ^{[1
]}

Zhikov V.V. ^{[1
]}

机构：

[1] Vladimir State University for the Humanities, Vladimir

来源：

Journal of Mathematical Sciences | 2011年 / 179卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic Equation; Integral Identity; Integral Inequality; Integral Estimate; Regularization Operator;

D O I：

10.1007/s10958-011-0599-9

中图分类号：

学科分类号：

摘要：

In this paper, we prove the Hölder continuity of solutions of parabolic equations containing the p(x, t)-Laplacian. The degree p must satisfy the so-called logarithmic condition. © 2011 Springer Science+Business Media, Inc.

引用

页码：347 / 389

页数：42

共 50 条

[41] JOINT H?LDER CONTINUITY OF PARABOLIC ANDERSON MODEL
胡耀忠
Khoa Lê
Acta Mathematica Scientia, 2019, 39 (03) : 764 - 780
[42] Everywhere Hölder continuity of the spatial gradient of weak solutions to nonlinear parabolic systems
Naumann J.
Rendiconti del Circolo Matematico di Palermo, 1998, 47 (3) : 409 - 430
[43] Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
Guo, Bin
Gao, Wenjie
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2011, 62 (05): : 909 - 926
[44] Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
Bin Guo
Wenjie Gao
Zeitschrift für angewandte Mathematik und Physik, 2011, 62
[45] Joint Hölder Continuity of Parabolic Anderson Model
Yaozhong Hu
Khoa Lê
Acta Mathematica Scientia, 2019, 39 : 764 - 780
[46] Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Antontsev, Stanislav
Shmarev, Sergey
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195 (195)
[47] On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
S. Antontsev
S. Shmarev
Proceedings of the Steklov Institute of Mathematics, 2010, 270 : 27 - 42
[48] Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity
Antontsev S.N.
Shmarev S.I.
Journal of Mathematical Sciences, 2008, 150 (5) : 2289 - 2301
[49] Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
Petteri Harjulehto
Juha Kinnunen
Katja Tuhkanen
Journal of Inequalities and Applications, 2007
[50] On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
Antontsev, S.
Shmarev, S.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 270 (01) : 27 - 42

← 1 2 3 4 5 →