Read The Calderón Problem: An Introduction

The Calderón Problem: An Introduction

Joel Feldman

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Description:Inverse problems are those where, from “external” observations of a hidden “black box” system (a patient’s body, nontransparent industrial object, interior of the Earth, etc.), one needs to recover the unknown parameters of the system. A prototypical example is the by now classical Calderón problem, forming the basis of Electrical Impedance Tomography (EIT). In EIT one attempts to determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. EIT arises in several applications, including geophysical prospection and medical imaging. Since the original work of Calderón there has been remarkable progress on this problem. This textbook is an introduction to the mathematical theory of the Calderón problem. It includes a thorough account of many important developments. The book is intended for graduate students who are familiar with basics of real, complex, and functional analysis. The text can be used for short or long graduate level courses on this topic. Basic properties of weak solutions of partial differential equations, of Sobolev spaces, and of Fourier transform are developed in the text and appendices. Comprehensive Notes sections with further references to the literature will be helpful for those readers who wish to study this topic further. Readership Graduate students and researchers interested in inverse problems and their applications.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Calderón Problem: An Introduction. To get started finding The Calderón Problem: An Introduction, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 479

Format: PDF, EPUB & Kindle Edition

Publisher: American Mathematical Soc.

Release: 2025

ISBN: 9781470481971

Description: Inverse problems are those where, from “external” observations of a hidden “black box” system (a patient’s body, nontransparent industrial object, interior of the Earth, etc.), one needs to recover the unknown parameters of the system. A prototypical example is the by now classical Calderón problem, forming the basis of Electrical Impedance Tomography (EIT). In EIT one attempts to determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. EIT arises in several applications, including geophysical prospection and medical imaging. Since the original work of Calderón there has been remarkable progress on this problem. This textbook is an introduction to the mathematical theory of the Calderón problem. It includes a thorough account of many important developments. The book is intended for graduate students who are familiar with basics of real, complex, and functional analysis. The text can be used for short or long graduate level courses on this topic. Basic properties of weak solutions of partial differential equations, of Sobolev spaces, and of Fourier transform are developed in the text and appendices. Comprehensive Notes sections with further references to the literature will be helpful for those readers who wish to study this topic further. Readership Graduate students and researchers interested in inverse problems and their applications.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Calderón Problem: An Introduction. To get started finding The Calderón Problem: An Introduction, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Calderón Problem: An Introduction

The Calderón Problem: An Introduction

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