Existence and uniqueness for a degenerate parabolic equation with L1-data

被引：74

作者：

Andreu, F ^{[1
]}

Mazón, JM ^{[1
]}

De León, SS ^{[1
]}

Toledo, J ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 01期

关键词：

non-linear parabolic equations; non-linear boundary conditions; p-; Laplacian; accretive operators; mild solutions;

D O I：

10.1090/S0002-9947-99-01981-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study existence and uniqueness of solutions for the boundary-value problem, with initial datum in L-1(Omega), u(t) = div a(x, Du) in (0, infinity) x Omega, -partial derivative u/partial derivative eta(a) is an element of beta(u) on (0,infinity) x partial derivative Omega, u(x,0) = u(0) (x) in Omega, where a is a Caratheodory function satisfying the classical Leray-Lions hypothesis, , is the Neumann boundary operator associated to a, Du the gradient of u and beta is a maximal monotone graph in R x R with 0 is an element of beta(0).

引用

页码：285 / 306

页数：22

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