Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise

DOI10.1007/s00220-020-03752-xzbMath1442.35460arXiv1811.06294OpenAlexW3097988259MaRDI QIDQ2191175

Leonardo Tolomeo

Publication date: 24 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06294

zbMATH Keywords

Fokker-Planck equationergodicitywhite noiseGibbs measurestochastic hyperbolic equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) White noise theory (60H40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Dynamical systems and their relations with probability theory and stochastic processes (37A50) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84) PDEs with measure (35R06)

Related Items (4)

Stochastic nonlinear wave dynamics on compact surfaces ⋮ On the unique ergodicity for a class of 2 dimensional stochastic wave equations ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation

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