On weak solutions of semilinear hyperbolic-parabolic equations
In this paper we prove the existence and uniqueness of weak solutions of the mixed problem for the nonlinear hyperbolic-parabolic equation (K1(x,t)u′)′+K2(x,t)u′+A(t)u+F(u)=f with null Dirichlet boundary conditions and zero initial data, where F(s) is a continuous function such that sF(s)≥0, ∀s∈R a...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171296001044 |