The Porous Medium Equation. New contractivity results
نویسنده
چکیده
We review some lines of recent research in the theory of the porous medium equation. We then proceed to discuss the question of contractivity with respect to the Wasserstein metrics: we show contractivity in one space dimension in all distances dp, 1 ≤ p ≤ ∞, and show a negative result for the d∞ metric in several dimensions. We end with a list of problems. Mathematics Subject Classification. 35K55, 35K65.
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تاریخ انتشار 2005