Flatness implies smoothness for solutions of the porous medium equation

Clemens Kienzler, Herbert Koch, Juan Luís Vázquez

Type: Article

Publication Date: 2017-12-22

Citations: 21

DOI: https://doi.org/10.1007/s00526-017-1296-4

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Calculus of Variations and Partial Differential Equations - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (28)

Action	Title	Year	Authors
+	Lipschitz Continuity o f Solutions and Interfaces of the N-Dimensional Porous Medium Equation	1985	Luis Caffarelli Juan Luís Vázquez Noemí Wolanski
+ PDF Chat	Regularity of the free boundary for the porous medium equation	1998	P. Daskalopoulos Robert Hamilton
+	Partial Differential Equations	2022	Avner Friedman
+	Asymptotic behaviour for the porous medium equation posed in the whole space	2003	Juan Luís Vázquez
+	A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz	1989	Luis Caffarelli
+	All time C∞-regularity of the interface in degenerate diffusion: a geometric approach	2001	P. Daskalopoulos Robert Hamilton Kwangjin Lee
+ PDF Chat	Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity	2000	José A. Carrillo Giuseppe Toscani
+	Geometrical properties of solutions of the Porous Medium Equation for large times	2003	Ki-Ahm Lee Juan Luís Vázquez
+ PDF Chat	Phase transition problems of parabolic type: Flat free boundaries are smooth	1998	Ioannis Athanasopoulos Luis Caffarelli Sandro Salsa
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru