Parameter differentiability of the solution of a nonlinear abstract Cauchy problem

zbMath0977.34057MaRDI QIDQ1840784

Ruben D. Spies, John A. Burns, Pedro Morin

Publication date: 30 July 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fréchet derivativedifferentiability of the solutionabstract nonlinear evolution equationGronwall's lemma for sigular kernels

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (3)

Differentiability with respect to parameters of weak solutions of linear parabolic equations ⋮ Parameter identification for nonlinear abstract Cauchy problems using quasilinearization ⋮ Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem

Cites Work

• Parameter identification for nonlinear abstract Cauchy problems using quasilinearization
• Semigroups of linear operators and applications to partial differential equations
• Sensitivity analysis for a class of evolution equations
• Estimation techniques for distributed parameter systems
• A state-space approach to a one-dimensional mathematical model for the dynamics of phase transitions in pseudoelastic materials
• Convergence theorems for parameter estimation by quasilinearization
• Parameter identification for an abstract Cauchy problem by quasilinearization
• The Differentiability with Respect to a Parameter of the Solution of a Linear Abstract Cauchy Problem
• Parameter Estimation and Identification for Systems with Delays

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