Existence of weak solutions for abstract hyperbolic-parabolic equations

In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:A2u″(t)+A1u′(t)+A(t)u(t)+M(u(t))=f(t),   t∈(0,T)       (1)u(0)=u0;   A2u′(0)=A212u1;                      where A1 and A2 are bounded linear operators in a Hilbert space H, {A(t)}0≤t≤T is a family of se...

Full description

Saved in:
Bibliographic Details
Main Author: Marcondes Rodrigues Clark
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294001067
Tags: Add Tag
No Tags, Be the first to tag this record!