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Invariant measures for stochastic heat equations
Invariant measures stochastic heat equations
2009/9/22
The paper is concerned with the asymptotic behaviour
of solutions to the nonlinear stochastic heat equations, with spatially
homogeneous noise, in the whole space. Sufficient conditions for the
exi...
Hitting probabilities for systems of non-linear stochastic heat equations with additive noise
Hitting probabilities systems of non-linear stochastic heat equations space-time white noise capacity Hausdor measure
2009/6/12
We consider a system of d coupled non-linear stochastic heat equations in spatial dimension 1 driven by d-dimensional additive space-time whitenoise. We establish upper and lower bounds on hitting pro...