Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive \(Q\)-regular noise

DOI10.1016/j.rinam.2023.100411zbMath1530.35377OpenAlexW4388805489MaRDI QIDQ6148335

Henri Schurz

Publication date: 11 January 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2023.100411

zbMATH Keywords

energy functionalpower-law nonlinearityapproximate Fourier series solutions\(Q\)-regular additive space-time noisenonlinear stochastic fractional wave equationspartial-implicit midpoint method

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Energy of an elastic mechanical system driven by Gaussian noise white in time
• Undamped nonlinear beam excited by additive \(L^{2}\)-regular noise
• Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise
• Asymptotics of solutions to semilinear stochastic wave equations
• Stochastic PDE for nonlinear vibration of elastic panels
• Stochastic wave equations with polynomial nonlinearity
• The Invariance of Asymptotic Laws of Linear Stochastic Systems under Discretization
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions
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