Uniform stability for fractional cauchy problems and applications

Abadias, L. (Universidad de Zaragoza) ; Álvarez, E.

Resumen: ¿In this paper we give uniform stable spatial bounds for the resolvent operator families of the abstract fractional Cauchy problem on R+. Such bounds allow to prove existence and uniqueness of µ-pseudo almost automorphic e-mild regular solutions to the nonlinear fractional Cauchy problem in the whole real line. Finally, we apply our main results to the fractional heat equation with critical nonlinearities.

Idioma: Inglés

DOI: 10.12775/TMNA.2018.038

Año: 2018

Publicado en: Topological Methods in Nonlinear Analysis 52, 2 (2018), 707-728
ISSN: 1230-3429

Factor impacto JCR: 0.837 (2018)

Categ. JCR: MATHEMATICS rank: 129 / 313 = 0.412 (2018) - Q2 - T2

Factor impacto SCIMAGO: 0.841 - Applied Mathematics (Q2) - Analysis (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MCYTS/DGI-FEDER
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)