Analyticity of Semigroups generated by Degenerate Mixed Differential Operators

Adel Saddi

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DOI: 10.4236/apm.2011.13010                

Abstract

In this paper we are interested in studying the dissipativity of degenerate mixed differential operators involving an interface point. We show that, under particular interface conditions, such operators generate analytic semigroups on an appropriate Hilbert space . To illustrate the results an example is discussed.

Keywords

Adjoint, Interface, Dissipative Operators, Analytic Semigroups

Conflicts of Interest

The authors declare no conflicts of interest.

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