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math.AP2013
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains
Giuseppe Da Prato, Alessandra Lunardi
We consider an elliptic Kolmogorov equation lambda u - Ku =f in a convex subset C of a separable Hilbert space X. We prove maximal Sobolev regularity of its weak solution, when lam…
math.AP2013
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…