## Differential and Integral Equations

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

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

Fabrizio Colombo and Vincenzo Vespri

#### 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

**Permanent link to this document**

https://projecteuclid.org/euclid.die/1367603357

**Mathematical Reviews number (MathSciNet)**

MR1364059

**Zentralblatt MATH identifier**

0838.47028

**Subjects**

Primary: 35J40: Boundary value problems for higher-order elliptic equations

Secondary: 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 47D03: Groups and semigroups of linear operators {For nonlinear operators, see 47H20; see also 20M20} 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)

#### Citation

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