Smoluchowski–Kramers approximation and large deviations for infinite dimensional gradient systems

DOI10.3233/ASY-141220zbMath1322.60104arXiv1403.5743MaRDI QIDQ3188823

Michael Salins, Sandra Cerrai

Publication date: 2 September 2014

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

Full work available at URL: https://arxiv.org/abs/1403.5743

zbMATH Keywords

large deviationsgradient systemexit problemSmoluchowski-Kramers approximationquasi-potentialdamped semilinear stochastic wave equationzero mass limit

Mathematics Subject Classification ID

Random fields (60G60) Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Wave equation (35L05) Large deviations (60F10) Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)

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