Finite speed of propagation in porous media by mass transportation methods ∗

@inproceedings{Carrillo2003FiniteSO,
  title={Finite speed of propagation in porous media by mass transportation methods ∗},
  author={Jos{\'e} A. Carrillo and Maria Pia Gualdani and Giuseppe Toscani},
  year={2003}
}
In this note we make use of mass transportation techniques to give a simple proof of the finite speed of propagation of the solution to the one–dimensional porous medium equation. The result follows by showing that the difference of support of any two solutions corresponding to different compactly supported initial data is a bounded in time function of a suitable Monge–Kantorovich related metric. To cite this article: J. A. Carrillo, M. P. Gualdani, G. Toscani, C. R. Acad. Sci. Paris, Ser. I… CONTINUE READING

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