Differentiability with respect to parameters of semigroups

zbMath0960.47022MaRDI QIDQ1806059

Ronald Grimmer, Min He

Publication date: 14 May 2001

Published in: Semigroup Forum (Search for Journal in Brave)

zbMATH Keywords

Fréchet differentiabilityparabolic partial differential equations\(C_0\)-semigroupsintegrated semigroupshyperbolic partial differential equations with parameter-depending boundary conditionsKato similaritytransmission line equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Integrated semigroups (47D62)

Related Items (4)

Differentiability with respect to parameters of weak solutions of linear parabolic equations ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem ⋮ Integrated semigroups and vibrating string problem ⋮ Periodic systems dependent on parameters

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