Solution of porous medium type systems by linear approximation schemes

1991 ◽  
Vol 60 (1) ◽  
pp. 407-427 ◽  
Author(s):  
Willi Jäger ◽  
Jozef Kačur
Keyword(s):  
Porous Medium ◽  
Linear Approximation ◽  
Type Systems ◽  
Approximation Schemes ◽  
Medium Type

scholarly journals The higher integrability of weak solutions of porous medium systems

2018 ◽  
Vol 8 (1) ◽  
pp. 1004-1034 ◽  
Author(s):  
Verena Bögelein ◽  
Frank Duzaar ◽  
Riikka Korte ◽  
Christoph Scheven
Keyword(s):  
Porous Medium ◽  
Weak Solutions ◽  
Type Systems ◽  
The Self ◽  
Higher Integrability ◽  
Medium Type

Abstract In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

scholarly journals Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory

2019 ◽  
Vol 57 (5) ◽  
pp. 2266-2299 ◽  
Author(s):  
Felix del Teso ◽  
Jørgen Endal ◽  
Espen R. Jakobsen
Keyword(s):  
Porous Medium ◽  
Numerical Methods ◽  
Medium Type

scholarly journals Continuity estimates for porous medium type equations with measure data

2014 ◽  
Vol 267 (9) ◽  
pp. 3351-3396 ◽  
Author(s):  
Verena Bögelein ◽  
Frank Duzaar ◽  
Ugo Gianazza
Keyword(s):  
Porous Medium ◽  
Measure Data ◽  
Medium Type
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