Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type

被引：2

作者：

Emmrich, Etienne ^{[1
]}

Vallet, Guy ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] CNRS, UMR 5142, Lab Math & Applicat Pau, F-64013 Pau, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 06期

关键词：

Nonlinear evolution equation; Barenblatt equation; Monotone operator; Existence of weak solution; Convergence of time discretization;

D O I：

10.1016/j.jde.2012.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial value problem for a first order operator-differential equation of type M(u') A(u, u') = f is studied, where both M and A are nonlinear operators. The equation can be interpreted as the quasistatic limit of a second order evolution equation with a severe coupling of the damping and nondamping term. Existence of a global-in-time weak solution is shown by proving convergence of a suitable time discretization method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：2499 / 2514

页数：16

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