2003 Partial functional differential equations with nonautonomous past in {$L^p$}-phase spaces
Genni Fragnelli, Gregor Nickel
Differential Integral Equations 16(3): 327-348 (2003). DOI: 10.57262/die/1356060674

Abstract

We prove the equivalence of the well-posedness of a partial differential equation with nonautonomous past and an associated abstract Cauchy problem. This equivalence is then used to derive sufficient conditions for exponential stability of the solutions.

Citation

Download Citation

Genni Fragnelli. Gregor Nickel. "Partial functional differential equations with nonautonomous past in {$L^p$}-phase spaces." Differential Integral Equations 16 (3) 327 - 348, 2003. https://doi.org/10.57262/die/1356060674

Information

Published: 2003
First available in Project Euclid: 21 December 2012

zbMATH: 1044.34038
MathSciNet: MR1947956
Digital Object Identifier: 10.57262/die/1356060674

Subjects:
Primary: 34K30
Secondary: 35K90 , 35R10 , 47D06

Rights: Copyright © 2003 Khayyam Publishing, Inc.

JOURNAL ARTICLE
22 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.16 • No. 3 • 2003
Back to Top