scholarly journals Gradient regularity for a singular parabolic equation in non-divergence form

2020 ◽  
Vol 40 (10) ◽  
pp. 5955-5972
Author(s):  
Amal Attouchi ◽  
◽  
Eero Ruosteenoja
Keyword(s):  
Parabolic Equation ◽  
Divergence Form ◽  
Singular Parabolic Equation ◽  
Gradient Regularity

scholarly journals $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hui Wang ◽  
Caisheng Chen
Keyword(s):  
Parabolic Equation ◽  
Weak Solutions ◽  
Nonlinear Parabolic Equation ◽  
Divergence Form ◽  
Decay Estimates ◽  
Laplacian Equation ◽  
Estimates Of Solutions ◽  
Nonlinear Parabolic ◽  
Doubly Nonlinear ◽  
Doubly Nonlinear Parabolic Equation

AbstractIn this paper, we are interested in $L^{\infty }$ L ∞ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain $L^{\infty }$ L ∞ decay estimates of weak solutiona.

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
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