Application of semigroup theory to a semilinear wave equation with localized dissipation

In this article, we demonstrate the unique existence of the solution for the semilinear wave equation with localized nonlinear dissipation using semigroup theory.

Detalhes bibliográficos
Autores: Peña Miranda, Carlos Alberto, Pérez Salvatierra, Alfonso, Cosi Cruz, Elizabeth
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Perú
Recursos:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/18444
Acesso em linha:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/18444
Access Level:acceso abierto
Palavra-chave:semilinear wave equation
weak solutions
localized dissipation
ecuación de onda semilineal
solucion débil
disipación localizada
Descrição
Resumo:In this article, we demonstrate the unique existence of the solution for the semilinear wave equation with localized nonlinear dissipation using semigroup theory.