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

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

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.

Original language	English
Pages (from-to)	89-103
Number of pages	15
Journal	Journal of Dynamics and Differential Equations
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF01063736
State	Published - Jan 1993
Externally published	Yes

Keywords

Parabolic equations with time delay
asymptotic behavior

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10.1007/BF01063736

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title = "Convergence to equilibrium for delay-diffusion equations with small delay",

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.",

keywords = "Parabolic equations with time delay, asymptotic behavior",

author = "Gero Friesecke",

year = "1993",

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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

U2 - 10.1007/BF01063736

DO - 10.1007/BF01063736

M3 - Article

AN - SCOPUS:0002257093

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SP - 89

EP - 103

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 1

ER -

Convergence to equilibrium for delay-diffusion equations with small delay

Abstract

Keywords

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