In:
Abstract and Applied Analysis, Wiley, Vol. 2012, No. 1 ( 2012-01)
Abstract:
Let Ω be a smooth bounded domain in ℝ N , ( N ≥ 3). We consider the asymptotic behavior of solutions to the following problem u t − div( a ( x )∇ u ) + λ f ( u ) = μ in Ω × ℝ + , u = 0 on ∂ Ω × ℝ + , u ( x , 0) = u 0 ( x ) in Ω, where u 0 ∈ 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.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Wiley
Publication Date:
2012
detail.hit.zdb_id:
1495804-1
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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