Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain
In this paper we study the existence of solutions of the following nonlinear hyperbolic svstem|u″+A(t)u+b(x)G(u)=f in Qu=0 on Σu(0)=uο u1(0)=u1where Q is a noncylindrical domain of ℝn+1 with lateral boundary Σ, u−(u1,u2) a vector defined on Q, {A(t), 0≤t≤+∞} is a family of operators in ℒ...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000815 |