Equivalence of weak and viscosity solutions in fractional non-homogeneous problems

We establish the equivalence between the notions of weak and viscosity solutions for non-homogeneous equations whose main operator is the fractional p-Laplacian and the lower order term depends on x, u and Dspu, being the last one a type of fractional derivative

Detalles Bibliográficos
Autores: Barrios, Begoña, Medina, María
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/710994
Acceso en línea:http://hdl.handle.net/10486/710994
https://dx.doi.org/10.1007/s00208-020-02119-w
Access Level:acceso abierto
Palabra clave:Fractional Laplacian
P-Laplacian
Fractional
Matemáticas
Descripción
Sumario:We establish the equivalence between the notions of weak and viscosity solutions for non-homogeneous equations whose main operator is the fractional p-Laplacian and the lower order term depends on x, u and Dspu, being the last one a type of fractional derivative