Math. Model. Nat. Phenom.
Volume 3, Number 7, 2008Special issue dedicated to Glenn Webb
|Page(s)||143 - 147|
|Published online||23 October 2008|
Wentzell Boundary Conditions in the Nonsymmetric Case
Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5
40126 Bologna, Italy
2 Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152
3 Dipartimento di Matematica, Universit`a degli Studi di Bari, via E. Orabona 4, 70125 Bari, Italy
Corresponding author: firstname.lastname@example.org
Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case.
Mathematics Subject Classification: 47D06 / 47B44 / 35K20
Key words: Wentzell boundary conditions / nonsymmetric elliptic operators / C0 semigroups / quasidissipative operators
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