Existence and regularity of the density for solutions to semilinear dissipative parabolic SPDEs

DOI10.1007/s11118-012-9330-9zbMath1282.60061arXiv1202.4610OpenAlexW2121230341MaRDI QIDQ372812

Carlo Marinelli, Lluís Quer-Sardanyons, Eulalia Nualart

Publication date: 21 October 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4610

zbMATH Keywords

Malliavin calculusstochastic partial differential equationexistence of densitiesregularity of densities

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise ⋮ Nonparametric calibration for stochastic reaction-diffusion equations based on discrete observations ⋮ Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term ⋮ Smoothness of the joint density for spatially homogeneous SPDEs ⋮ Absolute continuity of the law for the two dimensional stochastic Navier-Stokes equations ⋮ Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain

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