Some results on a singular parabolic equation in one dimension case

2013 ◽  
Vol 36 (18) ◽  
pp. 2576-2587 ◽  
Author(s):  
Wenshu Zhou ◽  
Xiaodan Wei
Keyword(s):  
Parabolic Equation ◽  
One Dimension ◽  
Singular Parabolic Equation

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.

scholarly journals On the dynamics of a strongly singular parabolic equation

2015 ◽  
Vol 421 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Georgios P. Trachanas ◽  
Nikolaos B. Zographopoulos
Keyword(s):  
Parabolic Equation ◽  
Singular Parabolic Equation

scholarly journals Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian

2019 ◽  
Vol 12 (2) ◽  
pp. 311-337
Author(s):  
Jacques Giacomoni ◽  
◽  
Tuhina Mukherjee ◽  
Konijeti Sreenadh ◽  
Keyword(s):  
Parabolic Equation ◽  
Fractional Laplacian ◽  
Singular Parabolic Equation

scholarly journals Blow-up for a degenerate and singular parabolic equation with a nonlocal source

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Nitithorn Sukwong ◽  
Panumart Sawangtong ◽  
Sanoe Koonprasert ◽  
Wannika Sawangtong
Keyword(s):  
Parabolic Equation ◽  
Blow Up ◽  
Nonlocal Source ◽  
Singular Parabolic Equation
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