Analyticity of Semigroups generated by Degenerate Mixed Differential Operators - Advances in Pure Mathematics

APM > Vol.1 No.3, May 2011

Analyticity of Semigroups generated by Degenerate Mixed Differential Operators ()

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DOI: 10.4236/apm.2011.13010 5,625 Downloads 11,242 Views Citations

Author(s)

Adel Saddi

Affiliation(s)

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

Share and Cite:

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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