Advances in Differential Equations
- Adv. Differential Equations
- Volume 10, Number 11 (2005), 1301-1320.
Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
In this note we introduce a general framework which allows us to prove in a unified and systematic way that operators with Wentzell-type boundary conditions generate analytic semigroups on function spaces with bounded trace operator. The abstract generation result is illustrated in three concrete examples.
Adv. Differential Equations Volume 10, Number 11 (2005), 1301-1320.
First available in Project Euclid: 18 December 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34G10: Linear equations [See also 47D06, 47D09]
Secondary: 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 47E05: Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
Engel, Klaus-Jochen; Fragnelli, Genni. Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions. Adv. Differential Equations 10 (2005), no. 11, 1301--1320.https://projecteuclid.org/euclid.ade/1355867753