Local Hölder continuity of weak solutions to a diffusive shallow medium equation

2019 ◽  
Vol 185 ◽  
pp. 306-335 ◽  
Author(s):  
Thomas Singer ◽  
Matias Vestberg
Keyword(s):  
Weak Solutions ◽  
Hölder Continuity ◽  
Holder Continuity ◽  
Medium Equation ◽  
Local Hölder Continuity

Local Hölder regularity for a doubly singular PDE

2018 ◽  
Vol 22 (03) ◽  
pp. 1850054
Author(s):  
Eurica Henriques
Keyword(s):  
Parabolic Equation ◽  
Weak Solutions ◽  
Iteration Method ◽  
Hölder Continuity ◽  
Hölder Regularity ◽  
Holder Continuity ◽  
Singular Parabolic Equation ◽  
Local Hölder Continuity ◽  
Singular Pde ◽  
Bounded Weak Solutions

We establish the local Hölder continuity for the nonnegative bounded weak solutions of a certain doubly singular parabolic equation. The proof involves the method of intrinsic scaling and the parabolic version of De Giorgi’s iteration method.

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