Multidimensional inverse and ill-posed problems for differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Utrecht
VSP
1995
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| Series: | Inverse and ill-posed problems series
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| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Item Description: | Erscheint auch als Open Access bei De Gruyter |
| Physical Description: | VI, 133 S. |
| ISBN: | 9067641855 9783110346664 |
| DOI: | 10.1515/9783110271478 |
Staff View
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| 100 | 1 | |a Anikonov, Ju. E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multidimensional inverse and ill-posed problems for differential equations |c Yu. E. Anikonov |
| 264 | 1 | |a Utrecht |b VSP |c 1995 | |
| 300 | |a VI, 133 S. | ||
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| 650 | 0 | 7 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |2 gnd |9 rswk-swf |
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CONTENTS
Introduction 1
1. Operator Equations and Inverse Problems 3
1.1 Definition of Quasimonotonicity, the Uniqueness Theorem 3
1.2 Inverse Problems for Hyperbolic Equations 5
1.3 Multidimensional Inverse Kinematic Problem of Seismics 7
1.4 On the Uniqueness of the Solution of the Fredholm and
Volterra First Kind Integral Equations 9
1.5 On the Uniqueness of the Solution of Integral Equations
of the First Kind with Entire Kernel 14
1.6 Existence and Uniqueness of a Solution to an Inverse Problem
for a Parabolic Equation 18
1.7 On Unique Solvability of an Inverse Problem for a
Parabolic Equation 21
1.8 Formulas in Multidimensional Inverse Problems for
Evolution Equations 25
2. Inverse Problems for Kinetic Equations 29
2.1 Kinetic Equations 29
2.2 An Example of an Inverse Problem for Kinetic Equation 31
2.3 One dimensional Inverse Problems 31
2.4 Multidimensional Inverse Problems 33
2.5 An Uniqueness Theorem for the Solution of an Inverse Problem
for a Kinetic Equation 35
2.6 The General Uniqueness Theorem 37
2.7 The Effect of the 'Redundant' Equation 43
2.8 Problem of Separation 46
2.9 Differential and Integro differential Identities 47
2.10 Solution Existence Problems 49
2.11 An Inverse Problem of Mathematical Biology 53
3. Geometry of Convex Surfaces in the Large and Inverse
Problems of Scattering Theory 58
3.1 Geometrical Question of Scattering Theory 58
3.2 Integral Equation of the First Kind 63
3.3 Uniqueness 74
3.4 Existence 81
3.5 Stability 84
vi contents
4. Integral Geometry 86
4.1 Inversion Formulas 87
4.2 The Uniqueness and Solvability 91
4.3 Some Applications 97
4.4 The Structure of Riemann Spaces and Problems of the
Integral Geometry 101
4.5 The Solvability of a Problem in Integral Geometry by
Integration along Geodesies 116
References 125 |
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| id | DE-604.BV010624342 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:58:01Z |
| institution | BVB |
| isbn | 9067641855 9783110346664 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007086330 |
| oclc_num | 243825008 |
| open_access_boolean | 1 |
| owner | DE-B1533 DE-M100 DE-12 DE-634 DE-210 DE-1052 DE-521 DE-1102 DE-1046 DE-1047 DE-1028 DE-Aug4 DE-573 DE-M347 DE-92 DE-1051 DE-898 DE-BY-UBR DE-859 DE-860 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-523 DE-Re13 DE-BY-UBR DE-70 DE-2174 DE-127 DE-155 DE-BY-UBR DE-150 DE-154 DE-91 DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-20 DE-706 DE-824 DE-29 DE-739 |
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| physical | VI, 133 S. |
| psigel | ZDB-23-DGG ZDB-23-GOA |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | VSP |
| record_format | marc |
| series2 | Inverse and ill-posed problems series |
| spellingShingle | Anikonov, Ju. E. Multidimensional inverse and ill-posed problems for differential equations Inverses Problem (DE-588)4125161-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4012249-9 (DE-588)4186951-5 |
| title | Multidimensional inverse and ill-posed problems for differential equations |
| title_auth | Multidimensional inverse and ill-posed problems for differential equations |
| title_exact_search | Multidimensional inverse and ill-posed problems for differential equations |
| title_full | Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov |
| title_fullStr | Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov |
| title_full_unstemmed | Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov |
| title_short | Multidimensional inverse and ill-posed problems for differential equations |
| title_sort | multidimensional inverse and ill posed problems for differential equations |
| topic | Inverses Problem (DE-588)4125161-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| topic_facet | Inverses Problem Differentialgleichung Inkorrekt gestelltes Problem |
| url | https://doi.org/10.1515/9783110271478 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007086330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT anikonovjue multidimensionalinverseandillposedproblemsfordifferentialequations |