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math.APMay 28, 2022
6
citations (OpenAlex)
authors
  • Davide A. Bignamini
  • Simone Ferrari
institutions
  • University of Insubria
  • University of Salento
arXiv abstractPDF
paper

Schauder regularity results in separable Hilbert spaces

arXiv:2205.14388 · doi:10.1016/j.jde.2023.06.023

Abstract

We prove Schauder type estimates for solutions of stationary and evolution equations driven by weak generators of transition semigroups associated to a semilinear stochastic partial differential equations with values in a separable Hilbert space.

References in corpus (5)

  • Formulae for the derivatives of heat semigroups
  • Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
  • Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
  • Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
  • L2-theory for transitions semigroups associated to dissipative systems

Cited by in corpus (2)

  • Differentiability in infinite dimension and the Malliavin calculus
  • Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
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