IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Maximum principles, extension problem and inversion for nonlocal one-sided equations
Autor/es:
ANA BERNARDIS; FRANCISCO J. MARTÍN REYES; PABLO RAÚL STINGA; JOSÉ L. TORREA
Revista:
JOURNAL OF DIFFERENTIAL EQUATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 260 p. 6333 - 6362
ISSN:
0022-0396
Resumen:
We study one-sided nonlocal equations on the real line. We show that the operator correspondsto a fractional power of a one-sided first order derivative. Maximum principles and a characterization with an extension problem in the spirit of Caffarelli?Silvestre and Stinga?Torrea are proved. It is also shown that these fractional equations can be solved in the general setting of weighted one-sided spaces. In this regard we present suitable inversion results. Along the way we are able to unify and clarify several notions of fractional derivatives found in the literature.
