Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential
Joint Authors
Mokrani, Houda
Mint Aghrabatt, Fatimetou
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential.
The singularity is controlled by Hardy's inequality, and the nonlinearity is controlled by Sobolev's inequality.
We also establish the existence of a global branch of the corresponding steady states via the classical Rabinowitz theorem.
American Psychological Association (APA)
Mokrani, Houda& Mint Aghrabatt, Fatimetou. 2012. Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-495703
Modern Language Association (MLA)
Mokrani, Houda& Mint Aghrabatt, Fatimetou. Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-495703
American Medical Association (AMA)
Mokrani, Houda& Mint Aghrabatt, Fatimetou. Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-495703
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495703
