scholarly journals Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains

2016 ◽  
Vol 70 (8) ◽  
pp. 1472-1508 ◽  
Author(s):  
Matteo Bonforte ◽  
Alessio Figalli ◽  
Xavier Ros-Oton
Keyword(s):  
Porous Medium ◽  
Porous Medium Equation ◽  
Regularity Of Solutions ◽  
Medium Equation ◽  
Speed Of Propagation ◽  
Infinite Speed Of Propagation

scholarly journals Regularity of solutions of a fractional porous medium equation

2020 ◽  
Vol 22 (4) ◽  
pp. 401-442
Author(s):  
Cyril Imbert ◽  
Rana Tarhini ◽  
François Vigneron
Keyword(s):  
Porous Medium ◽  
Porous Medium Equation ◽  
Regularity Of Solutions ◽  
Medium Equation

scholarly journals Nonlocal time-porous medium equation: Weak solutions and finite speed of propagation

2019 ◽  
Vol 24 (8) ◽  
pp. 4031-4053
Author(s):  
Jean-Daniel Djida ◽  
◽  
Juan J. Nieto ◽  
Iván Area ◽  
◽  
...  
Keyword(s):  
Porous Medium ◽  
Weak Solutions ◽  
Porous Medium Equation ◽  
Finite Speed Of Propagation ◽  
Finite Speed ◽  
Medium Equation ◽  
Speed Of Propagation

Regularity of solutions and interfaces of the porous medium equation via local estimates

1989 ◽  
Vol 112 (1-2) ◽  
pp. 1-13 ◽  
Author(s):  
Juan Luis Vazquez
Keyword(s):  
Porous Medium ◽  
Porous Medium Equation ◽  
Regularity Of Solutions ◽  
Pressure Function ◽  
Medium Equation ◽  
Moving Interfaces ◽  
Local Solutions

SynopsisWe prove C∞ regularity for moving interfaces of local solutions of the porous medium equation as well as C∞ lateral regularity for the pressure function near such an interface.

Harnack estimates for a kind of porous medium equation

2021 ◽  
Vol 115 ◽  
pp. 106978
Author(s):  
Feida Jiang ◽  
Xinyi Shen ◽  
Hui Wu
Keyword(s):  
Porous Medium ◽  
Porous Medium Equation ◽  
Medium Equation ◽  
Harnack Estimates
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