NONLINEAR ANALYTIC SEMIFLOWS

被引：139

作者：

ANGENENT, SB

机构：

[1] Department of Mathematics, University of Wisconsin at Madison, Madison, WI 53706, Van Vleck Hall

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 115卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500024598

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a local existence and regularity theory is given for nonlinear parabolic initial value problems (x’(t)=f(x(t))), and quasilinear initial value problems (x’(t) = A(x(t))x(t) +f(x(t))). This theory extends the theory of DaPrato and Grisvard of 1979, and shows how various properties, like analyticity of solutions, can be derived as a direct corollary of the existence theorem. © 1990, Royal Society of Edinburgh. All rights reserved.

引用

页码：91 / 107

页数：17

共 24 条

[1]

AMANN H, 1986, ARCH RATION MECH AN, V92, P153

[2]

AMANN H, 1986, T AM MATH SOC, V293, P191

[3]

AMANN H, 1987, J MATH SOC JAPAN, V39, P96

[4] LOCAL EXISTENCE AND REGULARITY FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS [J].