Existence for singular doubly nonlinear systems of porous medium type with time dependent boundary values

被引：4

作者：

Schaetzler, Leah ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2019年 / 5卷 / 02期

关键词：

Porous medium equation; Doubly nonlinear systems; Existence; Minimizing movements; VARIATIONAL APPROACH; OBSTACLE PROBLEM; EQUATIONS; DIFFUSION;

D O I：

10.1007/s41808-019-00048-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of variational solutions to the Cauchy-Dirichlet problem with time dependent boundary values associated with doubly nonlinear systems and a convex function f satisfying a standard p-growth condition for an exponent p is an element of(1,infinity). The proof relies on a nonlinear version of the method of minimizing movements.

引用

页码：383 / 421

页数：39

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