The porous medium equation as a finite-speed approximation to a Hamilton-Jacobi 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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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1987
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(16)30366-3