On Wave Equations Without Global a Priori Estimates
We investigate the existence and uniqueness of weak solution for amixed problem for wave operator of the type:L(u) = frac{partial^2 u}{partial_t^2}− Delta u + |u|^{rho} − f, rho > 1.The operator is defined for real functions u = u(x,t) and f = f(x,t) where (x, t) in Q a bounded cylinder of R^{n+...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2012-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/13451/7039 |