Geodesic
Wentzell Boundary Conditions in the Nonsymmetric Case
A. Favini1 ; G. R. Goldstein2 ; J. A. Goldstein2 ; S. Romanelli3
1 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
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 143-147.

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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.
DOI : 10.1051/mmnp:2008046

A. Favini 1 ; G. R. Goldstein 2 ; J. A. Goldstein 2 ; S. Romanelli 3

1 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 
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A. Favini; G. R. Goldstein; J. A. Goldstein; S. Romanelli. Wentzell Boundary Conditions in the Nonsymmetric Case. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 143-147. doi : 10.1051/mmnp:2008046. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008046/

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