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Showing 2008 · math.PRShow all
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math.PR2008
Harmonic functions for a class of integro-differential operators
Mohammud Foondun
We consider the operator $\sL$ defined on $C^2(\bR^d)$ functions by \sL f(x)&=&{1/2}\sum_{i,j=1}^d a_{ij}(x)\frac{\partial^2f(x)}{\partial x_i\partial x_j}+\sum_{i=1}^d b_i(x)\frac…
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,…