On a nonolinear wave equation in unbounded domains
We study existence and uniqeness of the nonlinear wave equation∂2u∂t2+M(x,∫|∇u(x,t)|2dx+∫|u(x,t)|2dx)(−Δu+u)=0in unbounded domains. The above model describes nonlinear wave phenomenon in non-homogeneous media. Our techniques ivolve fixed point arguments combined with the energy method.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000390 |
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