Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case

Details Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case

2009-08-19

arxiv.org/abs/0908.2701v1

Mathematics

Probability

Scientific paper

We consider a possibly degenerate porous media type equation over all of $\R^d$ with $d = 1$, with monotone discontinuous coefficients with linear growth and prove a probabilistic representation of its solution in terms of an associated microscopic diffusion. This equation is motivated by some singular behaviour arising in complex self-organized critical systems. The main idea consists in approximating the equation by equations with monotone non-degenerate coefficients and deriving some new analytical properties of the solution.

Affiliated with

Also associated with

No associations

Rating

Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216167