TITLE:
Analyticity of Semigroups Generated by Singular Differential Matrix Operators
AUTHORS:
Ould Ahmed Mahmoud Sid Ahmed, Adel Saddi
KEYWORDS:
Dissipative Operators, Positive Operators, Spectrum, Analytic Semigroups, Evolution Equations
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.4,
October
29,
2010
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.