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An extinction delay mechanism for some evolution equations

 

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Opened Access An extinction delay mechanism for some evolution equations
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Author: Casal Piga, Alfonso Carlos
Díaz Díaz, Jesús Ildefonso
Vegas Montaner, José Manuel
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: We study the ”finite extinction phenomenon”(there exists t0 ≥ 0 such that u(t, x) ≡ 0 ∀t ≥ t0, a.e. x ∈ Ω) for solutions of parabolic reaction-diffusion equations of the type ∂u ∂t − k∆u+λb(t)f(u(t − τ, x)) = 0 and ordinary delayed differential equations (k = 0) with a delay term τ > 0.
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URI: http://hdl.handle.net/11441/34922

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