Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics

DOI10.1007/s40072-022-00258-6arXiv2108.11473OpenAlexW3194382065WikidataQ114219506 ScholiaQ114219506MaRDI QIDQ6078573

Nicholas Eisenberg, Le Chen

Publication date: 27 September 2023

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11473

zbMATH Keywords

Malliavin calculusstochastic partial differential equationfractional integralstochastic wave equationsCaputo derivativefractional Laplacianstochastic heat equationsSkorohod integraltime-independent Gaussian noise

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

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