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...
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Wiley
1994-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171294001067 |
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