Regularizing properties for transition semigroups and semilinear parabolic equations in Banach spaces

DOI10.1214/EJP.v12-401zbMath1127.60065OpenAlexW2020033562MaRDI QIDQ2461974

Federica Masiero

Publication date: 23 November 2007

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128210

zbMATH Keywords

Banach spaceKolmogorov equationsGirsanov type theoremOrnstein Uhlenbeck processesperturbed Ornstein Uhlenbeck processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (10)

HJB equations in infinite dimensions under weak regularizing properties ⋮ Infinite-dimensional calculus under weak spatial regularity of the processes ⋮ Partial smoothing of delay transition semigroups acting on special functions ⋮ Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ Schauder regularity results in separable Hilbert spaces ⋮ Stochastic Optimal Control for the Stochastic Heat Equation with Exponentially Growing Coefficients and with Control and Noise on a Subdomain ⋮ Path-dependent equations and viscosity solutions in infinite dimension ⋮ HJB equations in infinite dimensions with locally Lipschitz Hamiltonian and unbounded terminal condition ⋮ Well-posedness of semilinear stochastic wave equations with Hölder continuous coefficients ⋮ Mild solutions of semilinear elliptic equations in Hilbert spaces

This page was built for publication: Regularizing properties for transition semigroups and semilinear parabolic equations in Banach spaces