RT journal article
T1 Hölder continuous solutions for tempered fractional equations and maximal regularity.
A1 Alvarez, Edgardo
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
AB We characterize the Hölder regularity in time of classical solutions for a class ofnonlocal abstract equations in terms of resolvent estimates of the underlying operator,thus including in our approach those recently incorporated into the literature that studynonlocal versions of the Moore-Gibson-Thompson equation. This allows us to provenew maximal regularity results, including a priori estimates. Our results are flexibleenough to allow the admissibility of operators other than the Laplacian. Furthermore,the presented method is reliable enough to apply these techniques to other nonlocalabstract equations of interest, obtain similar results and promote new findings.
PB Springer Nature Link
SN 1432-1807
YR 2025
FD 2025
LK http://hdl.handle.net/10498/37332
UL http://hdl.handle.net/10498/37332
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026