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

<p>The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.</p>
</abstract>

The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.

On a New Parabolic Sobolev Embedding Map

Departamento de Matemáticas. Facultad de Ciencias

Moroccan Journal of Pure and Applied Analysis

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

{"article-title":"On a New Parabolic Sobolev Embedding Map"}

The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of...

On a New Parabolic Sobolev Embedding Map

Publié en ligne: 29 sept. 2023

Pages: 331 - 338

Reçu: 17 juil. 2023

Accepté: 20 sept. 2023

DOI: https://doi.org/10.2478/mjpaa-2023-0022

Mots clés
multiplicity of covering parabolic capacity, parabolic operator, negligibility set, parabolic capacitary interior diameter

© 2023 Mohammed El Aidi, published by Sciendo

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

On a New Parabolic Sobolev Embedding Map

Publié en ligne: 29 sept. 2023

Pages: 331 - 338

Reçu: 17 juil. 2023

Accepté: 20 sept. 2023

DOI: https://doi.org/10.2478/mjpaa-2023-0022

Mots clésmultiplicity of covering parabolic capacity, parabolic operator, negligibility set, parabolic capacitary interior diameter

© 2023 Mohammed El Aidi, published by Sciendo

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

Mots clés
multiplicity of covering parabolic capacity, parabolic operator, negligibility set, parabolic capacitary interior diameter