We prove a sharp form of Schauder estimates for a second order infinite-dimensional elliptic operator with Holder continuous coefficients taking values in the space of Hilbert-Schmidt type operators. We show in particular that the second derivative of a solution is of Hilbert-Schmidt type.

New optimal regularity results for infinite dimensional elliptic equations

PRIOLA, Enrico;
2000-01-01

Abstract

We prove a sharp form of Schauder estimates for a second order infinite-dimensional elliptic operator with Holder continuous coefficients taking values in the space of Hilbert-Schmidt type operators. We show in particular that the second derivative of a solution is of Hilbert-Schmidt type.
2000
8 (3-B)
411
429
Schauder estimates; PDEs in infinite dimensions
E. Priola; L. Zambotti
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/102474
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact