Inverse Problems for Partial Differential Equations

Inverse Problems for Partial Differential Equations by Victor Isakov.

This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of sub­ stantial and growing interest for many scientists and engineers, and accordingly to graduate students in these areas. Mathematically, these...

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Bibliographic Details
Main Author: Isakov, Victor (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Applied Mathematical Sciences, 127
Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Computer mathematics.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Inverse Problems
  • 2 Ill-Posed Problems and Regularization
  • 3 Uniqueness and Stability in the Cauchy Problem
  • 4 Elliptic Equations: Single Boundary Measurements
  • 5 Elliptic Equations: Many Boundary Measurements
  • 6 Scattering Problems
  • 7 Integral Geometry and Tomography
  • 8 Hyperbolic Equations
  • 9 Parabolic Equations
  • 10 Some Numerical Methods
  • Appendix. Functional Spaces
  • References.

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