Existence, uniqueness, and energy of approximate Fourier solutions of modified stochastic sine-Gordon equation with power-law nonlinearity in 1D

DOI10.1007/s40819-021-01067-6zbMath1499.35382OpenAlexW3177178183WikidataQ114852183 ScholiaQ114852183MaRDI QIDQ2114906

Abdallah M. Talafha, Henri Schurz

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01067-6

zbMATH Keywords

stabilityexistenceuniquenessLyapunov functionalapproximate solvabilityexpected energyFourier solutionadditive and multiplicative space-time noisemodified stochastic sine-Gordon equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability for nonlinear problems in mechanics (70K20) Nonlinear waves in solid mechanics (74J30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Cites Work

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