Large Time Behavior of Solutions to the Neumann Problem for a Quasilinear Second Order Degenerate Parabolic Equation in Domains with Noncompact Boundary

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• 作者：Andreucci ; D. ; Cirmi ; G. R. ; Leonardi ; S. ; Tedeev ; A. F.
• 刊名：Journal of Differential Equations
• 出版年：2001
• 出版时间：August 10, 2001
• 年：2001
• 卷：174
• 期：2
• 页码：253-288
• 全文大小：234 K

文摘

We investigate the optimal rate of stabilization at large time of a solution to the Neumann problem Cannot display formula Cannot display formula u(x, 0)=u₀(x)xΩ,u₀(x)≥0inΩ,where ΩR^N, N≥2, is an unbounded domain with sufficiently smooth noncompact boundary ∂Ω satisfying certain isoperimetrical inequality and n