Hölder continuity of solutions of singular parabolic equations

1993 ◽  
pp. 77-116
Author(s):  
Emmanuele DiBenedetto
Keyword(s):  
Parabolic Equations ◽  
Hölder Continuity ◽  
Holder Continuity ◽  
Continuity Of Solutions ◽  
Singular Parabolic Equations

scholarly journals Hölder continuity of singular parabolic equations with variable nonlinearity

2020 ◽  
Vol 28 (3) ◽  
pp. 51-82
Author(s):  
Hamid El Bahja
Keyword(s):  
Iterative Method ◽  
Weak Solutions ◽  
Parabolic Equations ◽  
Hölder Continuity ◽  
Regularity Result ◽  
Hölder Regularity ◽  
Variable Exponents ◽  
Holder Continuity ◽  
Singular Parabolic Equations ◽  
Holder Regularity

AbstractIn this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on DiBenedetto’s technique called intrinsic scaling; by choosing an appropriate geometry one can deduce energy and logarithmic estimates from which one can implement an iterative method to obtain the regularity result.

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