Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-16
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Let Ω be a smooth bounded domain in ℝN,(N≥3).
We consider the asymptotic behavior of solutions to the following problem ut-div(a(x)∇u)+λf(u)=μ in Ω×ℝ+,u=0 on ∂Ω×ℝ+, u(x,0)=u0(x) in Ω, where u0∈L1(Ω), μ is a finite Radon measure independent of time.
We provide the existence and uniqueness results on the approximated solutions.
Then we establish some regularity results on the solutions and consider the long-time behavior.
American Psychological Association (APA)
Niu, Weisheng& Li, Hongtao. 2012. Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-462567
Modern Language Association (MLA)
Niu, Weisheng& Li, Hongtao. Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-462567
American Medical Association (AMA)
Niu, Weisheng& Li, Hongtao. Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-462567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462567