Blow-Up Phenomena for Certain Nonlocal Evolution Equations and Systems
Joint Authors
Jleli, Mohamed Boussairi
Samet, Bessem
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We provide sufficient conditions for the nonexistence of global positive solutions to the nonlocal evolution equation utt(x,t)=(J ∗ u-u)(x,t)+up(x,t), (x,t)∈RN×(0,∞),(u(x,0),ut(x,0))=(u0(x),u1(x)), x∈RN, where J:RN→R+, p>1, and (u0,u1)∈Lloc1(RN;R+)×Lloc1(RN;R+).
Next, we deal with global nonexistence for certain nonlocal evolution systems.
Our method of proof is based on a duality argument.
American Psychological Association (APA)
Jleli, Mohamed Boussairi& Samet, Bessem. 2015. Blow-Up Phenomena for Certain Nonlocal Evolution Equations and Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072901
Modern Language Association (MLA)
Jleli, Mohamed Boussairi& Samet, Bessem. Blow-Up Phenomena for Certain Nonlocal Evolution Equations and Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1072901
American Medical Association (AMA)
Jleli, Mohamed Boussairi& Samet, Bessem. Blow-Up Phenomena for Certain Nonlocal Evolution Equations and Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072901