Stochastic wave equations with cubic nonlinearity and Q-regular additive noise in \(\mathbb R^2\)

zbMath1306.60092MaRDI QIDQ2257952

Henri Schurz

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=7133

zbMATH Keywords

conservation lawsWiener processGaussian noiseLyapunov functionstrace formulacubic nonlinearitysemilinear wave equationsSPDEsFourier solutionstotal energy functionalapproximating Fourier coefficientsQ-regular space-time noise

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (4)

Existence, uniqueness, and stability of stochastic wave equation with cubic nonlinearities in two dimensions ⋮ Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain ⋮ Existence, uniqueness, and stability of Fourier series solutions of stochastic wave equations with cubic nonlinearities in 3D ⋮ Existence, uniqueness, and energy of approximate Fourier solutions of modified stochastic sine-Gordon equation with power-law nonlinearity in 1D

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