Global Nonexistence for a Viscoelastic Wave Equation with Boundary Dissipative
We consider a mixed problem for a viscoelastic nonilinear wave equation with boundary dissipative lineal and nonlinear source term. We prove the existence and uniqueness of its local solution by the Faedo-Galerkin method and show the blow-up of solutions by the energy method.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/12674 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/12674 |
| Access Level: | acceso abierto |
| Palabra clave: | Ecuación de onda viscoelástica solución local método de Faedo-Galerkin explosión de soluciones método de la energía. Viscoelastic wave equation local solution Faedo-Galerkin method blow-up of solutions energy method. |
| Sumario: | We consider a mixed problem for a viscoelastic nonilinear wave equation with boundary dissipative lineal and nonlinear source term. We prove the existence and uniqueness of its local solution by the Faedo-Galerkin method and show the blow-up of solutions by the energy method. |
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