Dirichlet Boundary Conditions for Degenerate and Singular Nonlinear Parabolic Equations

被引：2

作者：

Punzo, Fabio ^{[1
]}

Strani, Marta ^{[2
]}

机构：

[1] Univ Calabria, Dipartimento Matemat & Informat, Via P Bucci 31B, I-87036 Arcavacata Di Rende, CS, Italy

[2] Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, Batiment Sophie Germain,5 Rue Thomas Mann, F-75205 Paris 13, France

来源：

POTENTIAL ANALYSIS | 2017年 / 47卷 / 02期

关键词：

Parabolic equations; Dirichlet boundary conditions; Barrier functions; Sub- and supersolutions; Comparison principle; PARTIAL-DIFFERENTIAL-EQUATIONS; INHOMOGENEOUS-MEDIUM; FILTRATION EQUATION; MAXIMUM-PRINCIPLES; ELLIPTIC-EQUATIONS; WELL-POSEDNESS; WEAK SOLUTIONS; INFINITY; NONUNIQUENESS; COEFFICIENTS;

D O I：

10.1007/s11118-016-9611-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study existence and uniqueness of solutions to a class of quasilinear degenerate parabolic equations, in bounded domains. We show that there exists a unique solution which satisfies possibly inhomogeneous Dirichlet boundary conditions. To this purpose some barrier functions are properly introduced and used.

引用

页码：151 / 168

页数：18

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