4 papers · 1 filter
Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
Alessandra Lunardi, Michael Röckner
We prove maximal regularity results in Hölder and Zygmund spaces for linear stationary and evolution equations driven by a large class of differential and pseudo-differential opera…
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
Sandra Cerrai, Alessandra Lunardi
We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gau…
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part
Luciana Angiuli, Alessandra Lunardi
We study the Cauchy problem for the semilinear nonautonomous parabolic equation in , , in the spaces $C_b([s, τ]\ti…
Traces of Sobolev functions on regular surfaces in infinite dimensions
Pietro Celada, Alessandra Lunardi
In a Banach space endowed with a nondegenerate Gaussian measure, we consider Sobolev spaces of real functions defined in a sublevel set of a Sobolev n…