IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Interior L^p- estimates and Local A_p-Weights
Autor/es:
CARDOSO, ISOLDA; VIVIANI, BEATRIZ ELEONORA; VIOLA, PABLO SEBASTIÁN
Revista:
REVISTA DE LA UNIóN MATEMáTICA ARGENTINA
Editorial:
UNION MATEMATICA ARGENTINA
Referencias:
Lugar: Bahia Blanca; Año: 2018 vol. 59 p. 73 - 98
ISSN:
0041-6932
Resumen:
Let Ω be a nonempty open proper and connected subset of Rn, n≥3. Consider the elliptic Schrödinger type operator LEu=AEu+Vu=−Σijaij(x)uxixj+Vu in Ω, and the linear parabolic operator LPu=APu+Vu= ut−Σaij(x,t)uxixj+Vu in ΩT=Ω×(0,T), where the coefficients aij∈VMO and the potential V satisfies a reverse Hölder condition. The aim of this paper is to obtain a priori estimates for the operators LE and LP in weighted Sobolev spaces involving the distance to the boundary and weights in a local Ap class.