Differential and Integral Equations

Generation of analytic semigroups in $W^{k,p}(\Omega)$ and $C^k(\overline\Omega)$

Abstract

We prove generation of analytic semigroups in $W^{k,p}(\Omega)$ and in $C^k(\bar \Omega)$, $k \in N$ $1<p<\infty$, by non-variational elliptic operators under general boundary condition

Article information

Source
Differential Integral Equations, Volume 9, Number 2 (1996), 421-436.

Dates
First available in Project Euclid: 3 May 2013

Colombo, Fabrizio; Vespri, Vincenzo. Generation of analytic semigroups in $W^{k,p}(\Omega)$ and $C^k(\overline\Omega)$. Differential Integral Equations 9 (1996), no. 2, 421--436. https://projecteuclid.org/euclid.die/1367603357