<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In 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.</p></abstract>

In 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.

Hölder continuity of singular parabolic equations with variable nonlinearity

Laboratory of Mathematical Analysis and Applications, Department of Mathematics

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Hölder continuity of singular parabolic equations with variable nonlinearity"}

In this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on...

Hölder continuity of singular parabolic equations with variable nonlinearity

Data publikacji: 28 gru 2020

Zakres stron: 51 - 82

Otrzymano: 10 wrz 2019

Przyjęty: 18 gru 2019

DOI: https://doi.org/10.2478/auom-2020-0034

Słowa kluczowe
Nonlinear parabolic equations, singular equations, variable nonlinearity, regularity of solutions

© 2020 Hamid El Bahja, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Hölder continuity of singular parabolic equations with variable nonlinearity

Data publikacji: 28 gru 2020

Zakres stron: 51 - 82

Otrzymano: 10 wrz 2019

Przyjęty: 18 gru 2019

DOI: https://doi.org/10.2478/auom-2020-0034

Słowa kluczoweNonlinear parabolic equations, singular equations, variable nonlinearity, regularity of solutions

© 2020 Hamid El Bahja, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Słowa kluczowe
Nonlinear parabolic equations, singular equations, variable nonlinearity, regularity of solutions