Analyticity of Semigroups Generated by Singular Differential Matrix Operators - Applied Mathematics

AM > Vol.1 No.4, October 2010

Analyticity of Semigroups Generated by Singular Differential Matrix Operators ()

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DOI: 10.4236/am.2010.14036 5,244 Downloads 9,401 Views

Author(s)

Ould Ahmed Mahmoud Sid Ahmed, Adel Saddi

Affiliation(s)

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

Share and Cite:

O. Ahmed and A. Saddi, "Analyticity of Semigroups Generated by Singular Differential Matrix Operators," Applied Mathematics, Vol. 1 No. 4, 2010, pp. 283-287. doi: 10.4236/am.2010.14036.

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