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Analyticity of Semigroups Generated by Singular Differential Matrix Operators
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作者 Ould Ahmed Mahmoud Sid Ahmed adel saddi 《Applied Mathematics》 2010年第4期283-287,共5页
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... 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. 展开更多
关键词 DISSIPATIVE OPERATORS Positive OPERATORS Spectrum ANALYTIC SEMIGROUPS Evolution Equations
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Analyticity of Semigroups generated by Degenerate Mixed Differential Operators
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作者 adel saddi 《Advances in Pure Mathematics》 2011年第3期42-48,共7页
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 analy... 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. 展开更多
关键词 ADJOINT Interface DISSIPATIVE Operators ANALYTIC SEMIGROUPS
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