Delio Mugnolo, Silvia Romanelli
Abstract:
The aim of this paper is to study uniformly elliptic operators
with general Wentzell boundary conditions in suitable
-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.
Submitted June 8, 2006. Published September 28, 2006.
Math Subject Classifications: 47D06, 35J20, 35J25.
Key Words: General Wentzell boundary conditions; Dirichlet forms;
Ultracontractive semigroups; Cosine operator functions.
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Delio Mugnolo Dipartimento di Matematica Università degli Studi di Bari Via Orabona 4, I-70125 Bari, Italy email: mugnolo@dm.uniba.it |
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Silvia Romanelli Dipartimento di Matematica Università degli Studi di Bari Via Orabona 4, I-70125 Bari, Italy email: romans@dm.uniba.it |
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