Hypercontractivity of Solutions to Hamilton-Jacobi Equations

DOI10.1023/A:1013760728442zbMath1001.60066OpenAlexW151686320MaRDI QIDQ3151358

Beniamin Goldys

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30668

zbMATH Keywords

Hamilton-Jacobi equationinvariant measurelog-Sobolev inequalityhypercontractivitystochastic semilinear equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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• Some properties of invariant measures of non symmetric dissipative stochastic systems
• Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces
• Some results on non-linear optimal control problems and Hamilton-Jacobi equations in infinite dimensions
• Transition semigroups for stochastic semilinear equations on Hilbert spaces
• Regularity of solutions of a second order hamilton-jacobi equation and application to a control problem
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions

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