<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

Data publikacji: 17 maj 2018

Zakres stron: 116 - 130

Otrzymano: 10 sty 2018

Przyjęty: 25 mar 2018

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

Słowa kluczowe
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

Data publikacji: 17 maj 2018

Zakres stron: 116 - 130

Otrzymano: 10 sty 2018

Przyjęty: 25 mar 2018

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

Słowa kluczoweFractional Laplacian parabolic problem, nonlocal initial condition, Hardy potential

© 2018

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

Słowa kluczowe
Fractional Laplacian parabolic problem, nonlocal initial condition, Hardy potential