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Averaging approximation to singularly perturbed nonlinear stochastic wave equations
stochastic nonlinear wave equations averaging tightness martingale
2011/9/16
Abstract: An averaging method is applied to derive effective approximation to the following singularly perturbed nonlinear stochastic damped wave equation \nu u_{tt}+u_t=\D u+f(u)+\nu^\alpha\dot{W} on...
Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
Moment asymptotics parabolic Anderson problem perturbed lattice potential
2011/1/20
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied.The moment asymptotics of the total mass of the solu...