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math.PR2008★ 3 cited
An asymptotic theory for randomly forced discrete nonlinear heat equations
Mohammud Foondun, Davar Khoshnevisan
We study discrete nonlinear parabolic stochastic heat equations of the form, , for and $x\in {\mathbf{…
math.PR2008
Intermittence and nonlinear parabolic stochastic partial differential equations
Mohammud Foondun, Davar Khoshnevisan
We consider nonlinear parabolic SPDEs of the form $\partial_t u=\sL u + σ(u)\dot w$, where denotes space-time white noise, is [globally] Lipschitz continuous,…