Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions

Date

2006-09-28

Authors

Mugnolo, Delio
Romanelli, Silvia

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable Lp-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above operators. In addition, we make some complementary observations on, among other things, compactness issues and characterization of domains.

Description

Keywords

General Wentzell boundary conditions, Dirichlet forms, Ultracontractive semigroups, Cosine operator functions

Citation

Mugnolo, D., & Romanelli, S. (2006). Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions. <i>Electronic Journal of Differential Equations, 2006</i>(118), pp. 1-20.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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