Ill-Posed Problems

Book chapter

Fioralba Cakoni and David Colton

A Qualitative Approach to Inverse Scattering Theory, pp.27-43

Applied Mathematical Sciences, Springer US

09/24/2013

Abstract

Abstract Variational Principles

Hilbert-Schmidt Theorem

Minimum Norm Solution

Stable Approximate Solution

Tikhonov Regularization

For problems in mathematical physics, Hadamard postulated three properties that he deemed to be of central importance:

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Title: Ill-Posed Problems
Creators: Fioralba Cakoni
David Colton - University of Delaware
Publication Details: A Qualitative Approach to Inverse Scattering Theory, pp.27-43
Date published: 09/24/2013
Series: Applied Mathematical Sciences
Publisher: Springer US; Boston, MA
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Book chapter
Identifiers: 991031716703104646