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Analyticity of Semigroups generated by Degenerate Mixed Differential Operators

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DOI: 10.4236/apm.2011.13010    4,870 Downloads   9,918 Views  
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Saddi, "Analyticity of Semigroups generated by Degenerate Mixed Differential Operators," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 42-48. doi: 10.4236/apm.2011.13010.

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