UID:
edocfu_9958353691102883
Format:
1 online resource (475p.)
ISBN:
9783110224016
Series Statement:
Inverse and Ill-Posed Problems Series ; 55
Content:
The text demonstrates the methods for proving the existence (if at all) and finding of inverse and ill-posed problems solutions in linear algebra, integral and operator equations, integral geometry, spectral inverse problems, and inverse scattering problems. It is given comprehensive background material for linear ill-posed problems and for coefficient inverse problems for hyperbolic, parabolic, and elliptic equations. A lot of examples for inverse problems from physics, geophysics, biology, medicine, and other areas of application of mathematics are included.
Note:
Frontmatter --
,
Preface --
,
Denotations --
,
Contents --
,
Chapter 1. Basic concepts and examples --
,
Chapter 2. Ill-posed problems --
,
Chapter 3. Ill-posed problems of linear algebra --
,
Chapter 4. Integral equations --
,
Chapter 5. Integral geometry --
,
Chapter 6. Inverse spectral and scattering problems --
,
Chapter 7. Linear problems for hyperbolic equations --
,
Chapter 8. Linear problems for parabolic equations --
,
Chapter 9. Linear problems for elliptic equations --
,
Chapter 10. Inverse coefficient problems for hyperbolic equations --
,
Chapter 11. Inverse coefficient problems for parabolic and elliptic equations --
,
Appendix A --
,
Appendix B --
,
Epilogue --
,
Bibliography --
,
Index
,
In English.
Additional Edition:
ISBN 978-3-11-022400-9
Language:
English
DOI:
10.1515/9783110224016
URL:
https://doi.org/10.1515/9783110224016
