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
E. Priola;
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.File in questo prodotto:
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