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Wentzell Boundary Conditions in the Nonsymmetric Case

A. Favini, G. R. Goldstein, J. A. Goldstein, S. Romanelli (2008)

Mathematical Modelling of Natural Phenomena

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.

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