Nonlinear random wave equations

DOI10.1063/1.530560zbMath0801.73052OpenAlexW2027719782MaRDI QIDQ4298625

Maged A. Elshamy

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530560

zbMATH Keywords

forced vibrationsstochastic processBrownian sheetwhite noiseGaussian perturbationsnon-Gaussian random forcing

Mathematics Subject Classification ID

Wave equation (35L05) PDEs with randomness, stochastic partial differential equations (35R60) Random vibrations in dynamical problems in solid mechanics (74H50) Strings (74K05)

Related Items (2)

Damped wave equations with noise ⋮ Stochastic diffusion-convection boundary value problems

Cites Work

• Random nonlinear wave equations: Smoothness of the solutions
• Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
• Large fluctuations for a nonlinear heat equation with noise
• Ergodicity and invariant measures of some randomly perturbed classical fields
• The vibrating string forced by white noise

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