Stochastic heat equations with cubic nonlinearity and additive space-time noise in 2D

zbMATH Open1310.60099MaRDI QIDQ489887

Henri Schurz

Publication date: 21 January 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=9250

zbMATH Keywords

conservation lawsWiener processGaussian noiseLyapunov functionstrace formulacubic nonlinearitystochastic heat equations\(Q\)-regular space-time noiseFourier solutionstotal energy functional

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (4)

A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise ⋮ Stochastic wave equations with cubic nonlinearity and Q-regular additive noise in \(\mathbb R^2\) ⋮ An Itô type formula for the additive stochastic heat equation ⋮ Extremes of the stochastic heat equation with additive Lévy noise

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