Existence results for a class of evolution equations of mixed type

被引：19

作者：

Paronetto, F ^{[1
]}

机构：

[1] Univ Lecce, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 212卷 / 02期

关键词：

abstract evolution equation; elliptic parabolic equations; monotone operators; forwardbackward parabolic equations;

D O I：

10.1016/j.jfa.2004.03.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an existence result for the evolution equation (Ru)' + Au = f in the space W = {u is an element of V\ (Ru)' is an element of V'}where V is a Banach space and R is a non-invertible operator (the equation may be partially elliptic and partially parabolic, both forward and backward) and we study the "Cauchy-Dirichlet" problem associated to this equation (indeed also for the inclusion (Ru)' + Au There Exists f). We also investigate continuous and compact embeddings of W and regularity in time of the solution. At the end we give some examples of different R. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：324 / 356

页数：33

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