Existência e regularidade de soluções fundamentais para operadores diferenciais lineares de coeficientes constantes

The main objective of this dissertation is to present a theorem that guarantees the existence and regularity of fundamental solutions for linear differential operators with constant coefficients. We also present some of its applications related to the regularity of solutions of linear partial differ...

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Detalles Bibliográficos
Autor: Oliveira, Danrlei Vaz
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Universidade Federal de Santa Maria (UFSM)
Repositorio:Manancial - Repositório Digital da UFSM
Idioma:portugués
OAI Identifier:oai:repositorio.ufsm.br:1/21127
Acceso en línea:http://repositorio.ufsm.br/handle/1/21127
Access Level:acceso abierto
Palabra clave:Equações diferenciais parciais
Soluções fundamentais
Regularidade
Operadores lineares
Partial differential equations
Fundamental solutions
Regularity
Linear operators
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:The main objective of this dissertation is to present a theorem that guarantees the existence and regularity of fundamental solutions for linear differential operators with constant coefficients. We also present some of its applications related to the regularity of solutions of linear partial differential equations with constant coefficients.