Displaying similar documents to “Notes on Analytic Convoluted C -semigroups”

On the growth of analytic semigroups along vertical lines

José Galé, Thomas Ransford (2000)

Studia Mathematica

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We construct two Banach algebras, one which contains analytic semigroups ( a z ) R e z > 0 such that | a 1 + i y | arbitrarily slowly as | y | , the other which contains ones such that | a 1 + i y | arbitrarily fast

Analyticity for some degenerate one-dimensional evolution equations

G. Metafune (1998)

Studia Mathematica

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We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.