Probabilistic approximation for a porous medium equation
نویسندگان
چکیده
منابع مشابه
Probabilistic approximation for a porous medium equation
In this paper, we are interested in the one-dimensional porous medium equation when the initial condition is the distribution function of a probability measure. We associate a nonlinear martingale problem with it. After proving uniqueness for the martingale problem, we show existence owing to a propagation of chaos result for a system of weakly interacting di usion processes. The particle syste...
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We prove the strict localization for a porous medium type equation with a source term, ut = ∇(uσ∇u)+uβ , x ∈ RN , N > 1, β > σ+ 1, σ > 0, in the case of arbitrary compactly supported initial functions u0. We also otain an estimate of the size of the localization in terms of the support of the initial data supp u0 and the blow-up time T . Our results extend the well-known one dimensional result ...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2000
ISSN: 0304-4149
DOI: 10.1016/s0304-4149(00)00014-4