On Frechet differentiability of some nonlinear operators occurring in inverse problems: an implicit function theorem approach

DOI10.1088/0266-5611/6/6/006zbMath0724.58006OpenAlexW1980124656MaRDI QIDQ3211996

T. John Connolly, David J. N. Wall

Publication date: 1990

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/6/6/006

zbMATH Keywords

Fréchet differentiabilityinverse problemsdiffusion equationHelmholtz equationimplicit function theorems

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Inverse problems for PDEs (35R30) Derivatives of functions in infinite-dimensional spaces (46G05) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (1)

On inverse source problems for the one-way wave equation.

This page was built for publication: On Frechet differentiability of some nonlinear operators occurring in inverse problems: an implicit function theorem approach