Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data
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 resu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/312536 |