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The Angle of \(L^p\)-dissipativity

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Semi-bounded Partial Differential Operators

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 243))

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Abstract

The analyticity of a contractive semigroup \(\left\{T(t)\right\}\) is closely connected with the possibility of extending \(\left\{T(t)\right\}\) to a contractive semigroup \(\left\{T(z)\right\}(z\;\in\;\mathbb{C})\) in an angle, called angle of dissipativity.

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© 2014 Springer International Publishing Switzerland

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Cialdea, A., Maz’ya, V. (2014). The Angle of \(L^p\)-dissipativity. In: Semi-bounded Partial Differential Operators. Operator Theory: Advances and Applications, vol 243. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-04558-0_5

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