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.