EXPONENTIAL DECAY OF THE WEAK SOLUTION OF A NONLINEAR WAVE EQUATION
In this article, we prove the existence and uniqueness of the weak solution of a nonlinear wave equation. We prove the uniqueness by using the Visik - Ladyshenkaia Method. Also, using the Nakao s Lemma, we prove the exponential decay ofthe energy associated to the system.
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| 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/9361 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9361 |
| Access Level: | acceso abierto |
| Palabra clave: | Existencia de solución Método de Visik - Ladyshenkaia Lema de Nakao Decaimiento exponencial. Existence of solution Visik - Ladyshenkaia Method Nakao's Lemma Exponential decay. |
| Sumario: | In this article, we prove the existence and uniqueness of the weak solution of a nonlinear wave equation. We prove the uniqueness by using the Visik - Ladyshenkaia Method. Also, using the Nakao s Lemma, we prove the exponential decay ofthe energy associated to the system. |
|---|