Optimal regularity for the porous medium equation

Benjamin Gess

Type: Preprint

Publication Date: 2017-08-15

Citations: 2

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Optimal regularity for the porous medium equation	2017	Benjamin Gess
+ PDF Chat	Optimal regularity for the porous medium equation	2020	Benjamin Gess
+	Sobolev regularity for the porous medium equation with a force	2017	Benjamin Gess
+ PDF Chat	Optimal regularity in time and space for the porous medium equation	2020	Benjamin Gess Jonas Sauer Eitan Tadmor
+ PDF Chat	Optimal regularity in time and space for stochastic porous medium equations	2022	Stefano Bruno Benjamin Gess Hendrik Weber
+ PDF Chat	Optimal regularity in time and space for stochastic porous medium equations	2021	Stefano Bruno Benjamin Gess Hendrik Weber
+ PDF Chat	Optimal regularity and fine asymptotics for the porous medium equation in bounded domains	2024	Tianling Jin Xavier Ros‐Oton Jingang Xiong
+	Optimal Boundary Regularity for Fast Diffusion Equations	2024	Tianling Jin Jingang Xiong
+	Optimal Boundary Regularity for Fast Diffusion Equations	2024	Tianling Jin Jingang Xiong
+ PDF Chat	An optimal Liouville theorem for the porous medium equation	2022	Damião J. Araújo Rafayel Teymurazyan
+	Regularity properties for the porous medium equation	2016	André Martins Rodrigues
+	Improved regularity for the inhomogeneous Porous Medium Equation	2020	Nicolau Matiel Lunardi Diehl
+	An optimal regularity criterion for the Navier–Stokes equations proved by a blow-up argument	2020	Zdeněk Skalák
+	Optimal regularity and fine asymptotics for the porous medium equation in bounded domains	2022	Tianling Jin Xavier Ros‐Oton Jingang Xiong
+ PDF Chat	Optimal Regularity for One-Dimensional Porous Medium Flow	1986	D. G. Aronson Luis Caffarelli
+	Optimal regularity for the Poisson equation	2009	Lihe Wang Fengping Yao Shulin Zhou Huilian Jia
+ PDF Chat	Improved regularity for the porous medium equation along zero level sets	2021	Edgard A. Pimentel Makson S. Santos
+	An optimal Liouville theorem for the porous medium equation	2022	Damião J. Araújo Rafayel Teymurazyan
+	Higher regularity estimates for the porous medium equation near the Heat equation	2020	Damião J. Araújo
+	Higher regularity estimates for the porous medium equation near the Heat equation	2020	Damião J. Araújo

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Optimal regularity in time and space for the porous medium equation	2020	Benjamin Gess Jonas Sauer Eitan Tadmor
+ PDF Chat	The Aronson-Bénilan Estimate in Lebesgue Spaces	2020	Giulia Bevilacqua Benoı̂t Perthame Markus Schmidtchen

Works Cited by This (23)

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
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+	Continuity estimates for porous medium type equations with measure data	2014	Verena Bögelein Frank Duzaar Ugo Gianazza
+ PDF Chat	Continuity of the density of a gas flow in a porous medium	1979	Luis Caffarelli Avner Friedman
+	Parabolic problems for the Anderson model	1990	Jürgen Gärtner Stanislav Molchanov
+	Regularity in Sobolev spaces for the fast diffusion and the porous medium equation	2005	Carsten Ebmeyer
+ PDF Chat	Interior and boundary continuity of weak solutions of degenerate parabolic equations	1982	William P. Ziemer
+ PDF Chat	Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces	2012	Masashi Mizuno
+	Eventual C?-regularity and concavity for flows in one-dimensional porous media	1987	D. G. Aronson Juan Luís Vázquez
+	Porous Medium Type Equations with Measure Data and Potential Estimates	2013	Verena Bögelein Frank Duzaar Ugo Gianazza