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Analyticity of Semigroups generated by Degenerate Mixed Differential Operators
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 42–48·Published 19 May 2011·DOI10.4236/apm.2011.13010
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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.
KeywordsAdjointInterfaceDissipative OperatorsAnalytic Semigroups
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