Article Contents

2014, Volume 34, Issue 2: 749-760. Doi: 10.3934/dcds.2014.34.749

This issue Previous Article The defocusing $\dot{H}^{1/2}$-critical NLS in high dimensions Next Article Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and $L^1$-data

Goldstein-Wentzell boundary conditions: Recent results with Jerry and Gisèle Goldstein

Silvia Romanelli^1,

1.
Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, via E. Orabona 4, 70125 Bari

Received: June 2012

Revised: May 2013

Published: February 2014

Abstract / Introduction Related Papers Cited by

Abstract

We present a survey of recent results concerning heat and telegraph equations, equipped with Goldstein-Wentzell boundary conditions (already known as general Wentzell boundary conditions). We focus on the generation of analytic semigroups and continuous dependence of the solutions of the associated Cauchy problems from the boundary conditions.

Keywords:

Analytic semigroups,
Wentzell boundary conditions,
continuous dependence on the boundary conditions.

Mathematics Subject Classification: Primary: 46D06, 35K15, 35B30; Secondary: 35L05.

Citation:

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References

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