UID:
edocfu_9958353691102883
Umfang:
1 online resource (475p.)
ISBN:
9783110224016
Serie:
Inverse and Ill-Posed Problems Series ; 55
Inhalt:
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.
Anmerkung:
Frontmatter --
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Preface --
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Denotations --
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Contents --
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Chapter 1. Basic concepts and examples --
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Chapter 2. Ill-posed problems --
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Chapter 3. Ill-posed problems of linear algebra --
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Chapter 4. Integral equations --
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Chapter 5. Integral geometry --
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Chapter 6. Inverse spectral and scattering problems --
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Chapter 7. Linear problems for hyperbolic equations --
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Chapter 8. Linear problems for parabolic equations --
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Chapter 9. Linear problems for elliptic equations --
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Chapter 10. Inverse coefficient problems for hyperbolic equations --
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Chapter 11. Inverse coefficient problems for parabolic and elliptic equations --
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Appendix A --
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Appendix B --
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Epilogue --
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Bibliography --
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Index
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In English.
Weitere Ausg.:
ISBN 978-3-11-022400-9
Sprache:
Englisch
DOI:
10.1515/9783110224016
URL:
https://doi.org/10.1515/9783110224016