Analyticity of Semigroups Generated by Singular Differential Matrix Operators

Ould Ahmed Mahmoud Sid Ahmed, Adel Saddi

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DOI: 10.4236/am.2010.14036                

Abstract

In this paper we prove the analyticity of the semigroups generated by some singular differential matrix operators of the form in the Banach space with suitable boundary conditions. To illustrate the work an example is discussed.

Keywords

Dissipative Operators, Positive Operators, Spectrum, Analytic Semigroups, Evolution Equations

Conflicts of Interest

The authors declare no conflicts of interest.

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