On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction

DOI10.1090/tran/8946zbMath1526.60023arXiv2203.05923OpenAlexW4377989617MaRDI QIDQ6051558

Sandra Cerrai, Mengzi Xie

Publication date: 20 October 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.05923

zbMATH Keywords

large deviationsSmoluchowski-Kramers approximationstochastic nonlinear damped wave equations

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order hyperbolic equations (35L15)

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