SOME DEGENERATE PARABOLIC PROBLEMS: EXISTENCE AND DECAY PROPERTIES

被引：7

作者：

Boccardo, Lucio ^{[1
]}

Porzio, Maria Michaela ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2014年 / 7卷 / 04期

关键词：

Nonlinear parabolic problems; degenerate parabolic equations; L-1(0; T; W-0(1,1)(Omega))-solutions; decay estimates; unbounded solutions; existence results; ELLIPTIC-EQUATIONS; UNIQUENESS; BOUNDS;

D O I：

10.3934/dcdss.2014.7.617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions u belonging to L-1(0, T; W-0(1,1)(Omega)) boolean AND L-infinity (0, T; L-2(Omega)) of a class of nonlinear problems whose prototype is the following {u(t) - div (del u/(1+vertical bar u vertical bar(2))) = 0, in Omega(T); u - 0, on partial derivative Omega x (0,T); (1) u(x,0) = u(0)(x) is an element of L-2(Omega), in Omega. We investigate also the asymptotic estimates satisfied by distributional solutions that we find and the uniqueness.

引用

页码：617 / 629

页数：13

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