We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data.
- Authors
Weisheng Niu; Hongtao Li
- Abstract
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 ∈ L\1(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.
- Subjects
ASYMPTOTIC expansions; APPROXIMATION theory; PARABOLIC differential equations; DATA analysis; PROBLEM solving; RADON measures; EXISTENCE theorems
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/312536