An Approximation of Hedberg’s Type in Sobolev Spaces with Variable Exponent and Application
Joint Authors
Fri, Aziz
Benkirane, Abdelmoujib
El Moumni, Mostafa
Source
Chinese Journal of Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this paper is to extend the usual framework of PDE with Au=-div ax,u,∇u to include a large class of cases with Au=∑β≤α-1βDβAβx,u,∇u,…,∇αu, whose coefficient Aβ satisfies conditions (including growth conditions) which guarantee the solvability of the problem Au=f.
This new framework is conceptually more involved than the classical one includes many more fundamental examples.
Thus our main result can be applied to various types of PDEs such as reaction-diffusion equations, Burgers type equation, Navier-Stokes equation, and p-Laplace equation.
American Psychological Association (APA)
Benkirane, Abdelmoujib& El Moumni, Mostafa& Fri, Aziz. 2014. An Approximation of Hedberg’s Type in Sobolev Spaces with Variable Exponent and Application. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-480620
Modern Language Association (MLA)
Benkirane, Abdelmoujib…[et al.]. An Approximation of Hedberg’s Type in Sobolev Spaces with Variable Exponent and Application. Chinese Journal of Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-480620
American Medical Association (AMA)
Benkirane, Abdelmoujib& El Moumni, Mostafa& Fri, Aziz. An Approximation of Hedberg’s Type in Sobolev Spaces with Variable Exponent and Application. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-480620
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480620