TITLE:
Analyticity of Semigroups generated by Degenerate Mixed Differential Operators
AUTHORS:
Adel Saddi
KEYWORDS:
Adjoint, Interface, Dissipative Operators, Analytic Semigroups
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.3,
June
3,
2011
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.