Differential and Integral Equations

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

Fabrizio Colombo and Vincenzo Vespri

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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

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

First available in Project Euclid: 3 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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)


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

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