Global Nonexistence for a system of nonlinear viscoelastic wave equations with p-Laplacian operator
We consider a mixed problem for a system of nonlinear viscoelastic wave equations with p-Laplacian operator. Under certain conditions on the relaxation functions and the source terms, using the indirect method, we prove a result of global nonexistence for certain solutions with nonpositive initial e...
| Author: | |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2019 |
| Country: | Perú |
| Institution: | Universidad Nacional Mayor de San Marcos |
| Repository: | Revistas - Universidad Nacional Mayor de San Marcos |
| Language: | Spanish |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/15711 |
| Online Access: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/15711 |
| Access Level: | Open access |
| Keyword: | System of nonlinear viscoelastic wave equations p-Laplacian operator global nonexistence blow-up of solutions Sistema de ecuaciones de onda viscoelástica no lineal operador p-Laplaciano no existencia global explosión de soluciones |
| Summary: | We consider a mixed problem for a system of nonlinear viscoelastic wave equations with p-Laplacian operator. Under certain conditions on the relaxation functions and the source terms, using the indirect method, we prove a result of global nonexistence for certain solutions with nonpositive initial energy as well as with positive initial energy. |
|---|