<abstract xmlns="http://www.w3.org/1999/xhtml"> In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/8262_1.jpg"></inline-graphic>where is a bounded domain, the function a can be a singular potential, g is a suitable function which will be specified later and p, θ Abstract. In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem under natural conditions on the data. The question of global existence is also analyzed.</abstract>

In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problemwhere is a bounded domain, the function a can be a singular potential, g is a suitable function which will be specified later and p, θ Abstract. In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem under natural conditions on the data. The question of global existence is also analyzed.

Fractional parabolic problems with a nonlocal initial condition

Moroccan Journal of Pure and Applied Analysis

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

{"article-title":"Fractional parabolic problems with a nonlocal initial condition"}

In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problemwhere is a...

Fractional parabolic problems with a nonlocal initial condition

Publié en ligne: 17 mai 2018

Pages: 116 - 130

Reçu: 10 janv. 2018

Accepté: 25 mars 2018

DOI: https://doi.org/10.1515/mjpaa-2017-0010

Mots clés
Fractional Laplacian parabolic problem, nonlocal initial condition, Hardy potential

© 2018

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

Fractional parabolic problems with a nonlocal initial condition

Publié en ligne: 17 mai 2018

Pages: 116 - 130

Reçu: 10 janv. 2018

Accepté: 25 mars 2018

DOI: https://doi.org/10.1515/mjpaa-2017-0010

Mots clésFractional Laplacian parabolic problem, nonlocal initial condition, Hardy potential

© 2018

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

Mots clés
Fractional Laplacian parabolic problem, nonlocal initial condition, Hardy potential