Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain
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...
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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/S0161171296000221 |