Long time existence for the heat equation with a spatially correlated noise term

DOI10.1080/07362999908809596zbMath0926.60050OpenAlexW2026780701MaRDI QIDQ4237952

Nora Franzová

Publication date: 18 November 1999

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999908809596

zbMATH Keywords

stochastic heat equationlarge deviation principlelong time existencespatially correlated noise

Mathematics Subject Classification ID

Heat equation (35K05) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Moderate deviations for a stochastic heat equation with spatially correlated noise ⋮ Hölder continuity of solutions to the Dirichlet problem for SPDEs with spatially correlated noise

Cites Work

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• Long time existence for the heat equation with a noise term
• Comparison methods for a class of function valued stochastic partial differential equations
• White noise driven SPDEs with reflection
• A note on stochastic convolution
• On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space
• A Sharper Form of the Borel-Cantelli Lemma and the Strong Law

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