scholarly journals Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations

2006 ◽  
Vol 88 (3) ◽  
pp. 205-227
Author(s):  
Dmitry Portnyagin
Keyword(s):  
Weak Solutions ◽  
Hölder Continuity ◽  
Parabolic Systems ◽  
Holder 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.

HÖLDER CONTINUITY OF WEAK SOLUTIONS FOR DEGENERATE QUASILINEAR SUBELLIPTIC SYSTEMS WITH DIFFERENT WEIGHTS

2012 ◽  
Vol 14 (02) ◽  
pp. 1250011
Author(s):  
XUEWE CUI ◽  
PENGCHENG NIU ◽  
YONGZHONG WANG
Keyword(s):  
Weak Solutions ◽  
Hölder Continuity ◽  
Holder Continuity ◽  
Harnack Inequalities

We establish Hölder continuity of weak solutions for degenerate quasilinear subelliptic systems with different weights, with weak Harnack inequalities obtained here and a generalization of Caffarelli's idea.

Sign in / Sign up

Export Citation Format

Share Document