existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain
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ID: 255865
1996
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Abstract
In this paper, we study the existence of global weak solutions for the equationk2(x)u″+k1(x)u′+A(t)u+|u|ρu=f (I)in the non-cylinder domain Q in Rn+1; k1 and k2 are bounded real functions, A(t) is the symmetric operatorA(t)=−∑i,j=1n∂∂xj(aij(x,t)∂∂xi) where aij and f are real functions given in Q. For the proof of existence of global weak solutions we use the Faedo-Galerkin method, compactness arguments and penalization.
| Reference Key |
clark1996internationalexistence
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|---|---|
| Authors | ;Marcondes Rodrigues Clark |
| Journal | structural engineering and mechanics |
| Year | 1996 |
| DOI |
10.1155/S0161171296000221
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