The Differentiability with Respect to a Parameter of the Solution of a Linear Abstract Cauchy Problem

DOI10.1137/0513039zbMath0499.34037OpenAlexW2046277806MaRDI QIDQ3964925

Dennis W. Brewer

Publication date: 1982

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0513039

zbMATH Keywords

strongly continuous semigroupabstract Cauchy problemdelay differential equationsensitivity equation

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

Parameter identification in a Volterra equation with weakly singular kernel ⋮ Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation ⋮ Parameter estimation for a Volterra integro-differential equation ⋮ Differentiability with respect to parameters of weak solutions of linear parabolic equations ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem ⋮ Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem ⋮ Parameter differentiability of the solution of a nonlinear abstract Cauchy problem

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