Mohammud Foondun

activity

20072025

most citedNon-linear noise excitation for some space-time fractional stochastic equations in bounded domains

21 citations · 67 across the 32 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

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★ 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, $u_{n + 1} (x) - u_{n} (x) = (L u_{n}) (x) + σ (u_{n} (x)) ξ_{n} (x)$ , for $n \in Z_{+}$ 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 $w ˙$ denotes space-time white noise, $σ : R \to R$ is [globally] Lipschitz continuous,…