Strong solutions to the Richards equation in the unsaturated zone

W Merz, P Rybka - Journal of mathematical analysis and applications, 2010 - Elsevier
We study the unsaturated case of the Richards equation in three space dimensions with
Dirichlet boundary data. We first establish an a priori L∞-estimate. With its help, by means of …

Some results on a class of degenerate parabolic equations not in divergence form

W Zhou, Z Wu - Nonlinear Analysis: Theory, Methods & Applications, 2005 - Elsevier
Some results on a class of degenerate parabolic equations not in divergence form -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

Some results on a degenerate and singular diffusion equation

W Zhou - Acta Mathematica Scientia, 2007 - Elsevier
SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION Page 1 Acta
Mathematica Scientia 2007,27B(3):581–601 www.wipm.ac.cn/publish/ SOME RESULTS ON A …

Nonuniqueness of solutions for a singular diffusion problem

W Zhou - Journal of mathematical analysis and applications, 2007 - Elsevier
In this paper, we consider a singular diffusion problem and show, by constructing a
counterexample, that the weak solution to the problem is not unique. The proof consists of …

具退化性的一类非线性扩散方程的正则化解

周文书, 魏晓丹 - 吉林大学学报(理学版), 2006 - xuebao.jlu.edu.cn
研究具退化性的一类非线性扩散方程的初边值问题. 基于弱解存在性的证明和消失粘性法,
引入了正则化解的概念, 优点是能够确保正则化解的惟一性, 而且在某些条件下又有存在性 …

Behaviors of solutions for a singular diffusion equation

W Zhou, Z Yao - Journal of mathematical analysis and applications, 2007 - Elsevier
This paper is devoted to some behaviors of solutions of the initial-boundary problem for a
singular diffusion equation, namely, localization and large time behavior. After given some …

Regularity of viscosity solutions to a degenerate nonlinear cauchy problem

YY Zhao, ZC Chen - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
This paper is concerned with the regularity of certain weak solutions to the Cauchy problem
in RN for a degenerate nonlinear parabolic equation. We get the Hölder regularity of the …

[PDF][PDF] Regularidad de soluciones viscosas de una ecuación parabólica degenerada

PR Polo, LR Arbeláez - Revista Colombiana de Matemáticas, 2011 - revistas.unal.edu.co
Regularidad de soluciones viscosas de una ecuación parabólica degenerada Page 1
Revista Colombiana de Matemáticas Volumen 45(2011)1, páginas 19-30 Regularidad de …

Qualitative Analysis of the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption

A Prinkey - 2019 - search.proquest.com
Qualitative Analysis of the Nonlinear Double Degenerate Parabolic Equation of Turbulent
Filtration with Absorption by Adam Prink Page 1 Qualitative Analysis of the Nonlinear …

[PDF][PDF] Viscosity solutions to degenerate diffusion problems

ZC Chen, YY Zhao - 2007 - digital.library.txstate.edu
VISCOSITY SOLUTIONS TO DEGENERATE DIFFUSION PROBLEMS 1. Introduction We
consider the Cauchy problem ut = α1uβ1 ∆u + α 2uβ2 Page 1 Electronic Journal of Differential …