2 papers
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,…
math.PR2007
A Local time correspondence for stochastic partial differential equations
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic partial differential equation (SPDE) can have random-field solutions only in spatial dime…