Dimension Estimate for the Global Attractor of an Evolution Equation
نویسندگان
چکیده
and Applied Analysis 3 In 15 the asymptotic behavior of 1.1 was studied and it was proven the existence of a global attractor for the semigroup associated to 1.1 , that is, the semigroup of operators defined as S t : u0 ∈ H −→ u t ∈ H, 1.4 The main tool in proving the existence of a global attractor is to show the existence of an absorbing set inH2 I see Theorem 1.1 in 1 . Theorem 1.1 see 15 . There exist positive constants ri, τi with i 0, 1, 2 such that i the semigroup S t posses an absorbing set inH: ‖S t u0‖ ≤ r0, if t ≥ τ0, 1.5
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تاریخ انتشار 2014