## Differential and Integral Equations

### Partial functional differential equations with nonautonomous past in {$L^p$}-phase spaces

#### 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.

#### Article information

Source
Differential Integral Equations, Volume 16, Number 3 (2003), 327-348.

Dates
First available in Project Euclid: 21 December 2012

Fragnelli, Genni; Nickel, Gregor. Partial functional differential equations with nonautonomous past in {$L^p$}-phase spaces. Differential Integral Equations 16 (2003), no. 3, 327--348. https://projecteuclid.org/euclid.die/1356060674