Finite time extinction for solutions to fast diffusion stochastic porous media equations

Viorel Barbu; Giuseppe Da Prato; Michael Röckner

Finite time extinction for solutions to fast diffusion stochastic porous media equations

Probability 2018-06-18 v1 Mathematical Physics Analysis of PDEs math.MP

Authors: Viorel Barbu , Giuseppe Da Prato , Michael Röckner

Abstract

We prove that the solutions to fast diffusion stochastic porous media equations have finite time extinction with strictly positive probability.

Cite

@article{arxiv.0811.2064,
  title  = {Finite time extinction for solutions to fast diffusion stochastic porous media equations},
  author = {Viorel Barbu and Giuseppe Da Prato and Michael Röckner},
  journal= {arXiv preprint arXiv:0811.2064},
  year   = {2018}
}