Inverse problems of mathematical physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Utrecht
VNU Science Pr.
1987
|
| Edition: | 1. Engl. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VII, 239 S. |
| ISBN: | 9067640565 |
Staff View
MARC
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| 245 | 1 | 0 | |a Inverse problems of mathematical physics |c V. G. Romanov |
| 250 | |a 1. Engl. ed. | ||
| 264 | 1 | |a Utrecht |b VNU Science Pr. |c 1987 | |
| 300 | |a VII, 239 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 4 | |a Physique mathématique | |
| 650 | 7 | |a Physique mathématique |2 ram | |
| 650 | 7 | |a Problèmes inverses (équations différentielles) |2 ram | |
| 650 | 4 | |a Problèmes inversés (Équations différentielles) | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Inverse problems (Differential equations) | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Foreword by V. G. Yakhno vii
1. Introduction 1
1.1. Inverse problem concept: examples of formulating inverse problems 1
1.2. On correctness of direct and inverse problems of mathematical
physics 11
2. Inverse problems for the operator L, = (B2/dt2) (d2/dx2) + q(x) 18
2.1. Problems with nonfocused initial data 18
2.2. Some aspects associated with the inverse problem for the equation
Lqu = F 29
2.3. Problems with a focused source of disturbance 32
2.4. Reducing the problem with a focused source of disturbance to a linear
integral equation: necessary and sufficient conditions for the inverse
problem solvability 39
2.5. Inverse problems for differential equations in a limited domain 46
2.6. Relationship with the Sturm Liouville problem 53
2.7. One dimensional inverse problems for second order linear hyperbolic
equations 57
2.8. Problem of determining the operator Lq in a second order hyperbolic
equation 62
3. Inverse kinematic problems in seismology 64
3.1. Iconical equations, rays, and fronts 64
3.2. Boundary rays; waveguides: a sufficient condition for the absence of
waveguides and boundary rays—ray regularity 69
3.3. One dimensional inverse kinematic problems 74
3.4. Linearized three dimensional inverse problems 80
3.5. Nonlinear three dimensional inverse problems 92
3.6. Inverse problems using inner sources 96
3.7. Inverse kinematic problems for an anisotropic medium 97
4. Second order equations of a hyperbolic type and related inverse
problems 111
4.1. Fundamental solution and its differential properties 111
4.2. Ray formulation of inverse problems for the coefficients at minor
derivatives 121
V
vi Contents
4.3. Inverse dynamic problem: linearization method 134
4.4. General scheme of studying inverse problems for hyperbolic type
equations 141
5. Inverse problems for first order linear hyperbolic systems 149
5.1. Systems of equations with a single spatial variable 149
5.2. Inverse problems using focused sources of wave generation 155
5.3. Problem of determining the right hand part of a hyperbolic system 163
5.4. Lamb one dimensional inverse problem 166
5.5. Lamb three dimensional inverse problem within a linear approach 177
5.6. Inverse problem for a system of Maxwell equations 191
6. Inverse problems for parabolic and elliptical type second order
equations 208
6.1. Problem of determining the density of heat sources 208
6.2. Problem of determining diffusion coefficients 210
6.3. Relations among inverse problems for parabolic, elliptical, and
hyperbolic type equations 213
6.4. On specific formulations of inverse problems where the coefficient to
be determined is independent of one of the variables 218
References 221
Index 240
|
| any_adam_object | 1 |
| author | Romanov, Vladimir G. |
| author_GND | (DE-588)135734592 |
| author_facet | Romanov, Vladimir G. |
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| callnumber-subject | QC - Physics |
| ctrlnum | (OCoLC)14579045 (DE-599)BVBBV000679472 |
| dewey-full | 530.155 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.155 |
| dewey-search | 530.155 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. Engl. ed. |
| format | Book |
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| id | DE-604.BV000679472 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:17:41Z |
| institution | BVB |
| isbn | 9067640565 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000423834 |
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| owner_facet | DE-12 DE-29T DE-706 DE-188 DE-11 |
| physical | VII, 239 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | VNU Science Pr. |
| record_format | marc |
| spelling | Romanov, Vladimir G. Verfasser (DE-588)135734592 aut Inverse problems of mathematical physics V. G. Romanov 1. Engl. ed. Utrecht VNU Science Pr. 1987 VII, 239 S. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. Physique mathématique Physique mathématique ram Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) Mathematische Physik Inverse problems (Differential equations) Mathematical physics Inverses Problem (DE-588)4125161-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Inverses Problem (DE-588)4125161-1 s Mathematische Physik (DE-588)4037952-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000423834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Romanov, Vladimir G. Inverse problems of mathematical physics Physique mathématique Physique mathématique ram Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) Mathematische Physik Inverse problems (Differential equations) Mathematical physics Inverses Problem (DE-588)4125161-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4037952-8 |
| title | Inverse problems of mathematical physics |
| title_auth | Inverse problems of mathematical physics |
| title_exact_search | Inverse problems of mathematical physics |
| title_full | Inverse problems of mathematical physics V. G. Romanov |
| title_fullStr | Inverse problems of mathematical physics V. G. Romanov |
| title_full_unstemmed | Inverse problems of mathematical physics V. G. Romanov |
| title_short | Inverse problems of mathematical physics |
| title_sort | inverse problems of mathematical physics |
| topic | Physique mathématique Physique mathématique ram Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) Mathematische Physik Inverse problems (Differential equations) Mathematical physics Inverses Problem (DE-588)4125161-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physique mathématique Problèmes inverses (équations différentielles) Problèmes inversés (Équations différentielles) Mathematische Physik Inverse problems (Differential equations) Mathematical physics Inverses Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000423834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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