On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay
نویسندگان
چکیده
منابع مشابه
On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay
and Applied Analysis 3 Definition 2.1. A function u x, t is called a weak solution of 2.1 if and only if i u ∈ L2 0, T ;H1 0 Ω , with u′ ∈ L2 0, T ;H−1 Ω , ii u| −τ,0 u0 ∈ L2 Ω , iii ∫T 0 〈ut, φ〉 Du,Dφ dt ∫T 0 f u t , u t − τ , φ dt, for each φ ∈ L2 0, T ;H1 0 Ω . Here 〈, 〉 and , denote the pair of H−1 Ω and H1 0 Ω , the inner product in L2 Ω , respectively. Next we will give two very important...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/142128