Convergence to equilibrium for delay-diffusion equations with small delay

Gero Friesecke

doi:10.1007/BF01063736

Convergence to equilibrium for delay-diffusion equations with small delay

Gero Friesecke

Rheinische Friedrich-Wilhelms-Universität Bonn

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

52 Zitate (Scopus)

Abstract

It is shown that for scalar dissipative delay-diffusion equations u_t-Δu=f(u(t), u(t-τ)) with a small delay, all solutions are asymptotic to the set of equilibria as t tends to infinity.

Originalsprache	Englisch
Seiten (von - bis)	89-103
Seitenumfang	15
Fachzeitschrift	Journal of Dynamics and Differential Equations
Jahrgang	5
Ausgabenummer	1
DOIs	https://doi.org/10.1007/BF01063736
Publikationsstatus	Veröffentlicht - Jan. 1993
Extern publiziert	Ja

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abstract = "It is shown that for scalar dissipative delay-diffusion equations ut-Δu=f(u(t), u(t-τ)) with a small delay, all solutions are asymptotic to the set of equilibria as t tends to infinity.",

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AB - It is shown that for scalar dissipative delay-diffusion equations ut-Δu=f(u(t), u(t-τ)) with a small delay, all solutions are asymptotic to the set of equilibria as t tends to infinity.

KW - Parabolic equations with time delay

KW - asymptotic behavior

UR - https://www.scopus.com/pages/publications/0002257093

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JO - Journal of Dynamics and Differential Equations

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Convergence to equilibrium for delay-diffusion equations with small delay

Abstract

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