Asymptotic distribution of eigenvalues of differential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer Acad. Publ.
1990
|
| Series: | Mathematics and its applications / Soviet series
53 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XVIII, 279 S. |
| ISBN: | 0792305396 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004257367 | ||
| 003 | DE-604 | ||
| 005 | 20230825 | ||
| 007 | t | ||
| 008 | 910314s1990 |||| 00||| eng d | ||
| 020 | |a 0792305396 |9 0-7923-0539-6 | ||
| 035 | |a (OCoLC)246569991 | ||
| 035 | |a (DE-599)BVBBV004257367 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-739 |a DE-355 |a DE-703 |a DE-19 |a DE-29T |a DE-188 | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Levendorskij, Sergej Z. |d 1951- |e Verfasser |0 (DE-588)13349876X |4 aut | |
| 245 | 1 | 0 | |a Asymptotic distribution of eigenvalues of differential operators |c by Serge Levendorskiĭ |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1990 | |
| 300 | |a XVIII, 279 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications / Soviet series |v 53 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotische Verteilung |0 (DE-588)4739185-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eigenwert |0 (DE-588)4151200-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | 1 | |a Eigenwert |0 (DE-588)4151200-5 |D s |
| 689 | 0 | 2 | |a Asymptotische Verteilung |0 (DE-588)4739185-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 810 | 2 | |a Soviet series |t Mathematics and its applications |v 53 |w (DE-604)BV004708148 |9 53 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002648346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002648346 | ||
Record in the Search Index
| _version_ | 1804118453392506880 |
|---|---|
| adam_text | Contents
Introduction ix
Chapter 1. The Weyl Hormander Calculus of Pseudodifferential
Operators 1
§1. Classes of Symbols 1
§2. Estimates for Solutions of Schrodinger Type Equations 10
i §3. The Fundamental Theorems of Calculus 16
j §4. Continuity of Pseudodifferential Operators 28
§5. Weight Spaces of Sobolev Type 37
I §6. Action of Pseudodifferential Operators in Weight Spaces 42
Chapter 2. Basic Theorems of the Method of Approximate Spectral
Projection for Scalar and Matrix Operators 46
§7. Formulation of the Basic Theorems 46
§8. Auxiliary Propositions 50
§9. Proof of Theorem 7.2 for the Scalar Case 54
§10. Proof of Theorem 7.3 for the Scalar Case 62
§11. Proofs of Theorems 7.2 and 7.3 for the Matrix Case 68
§12. Proofs of Theorems 7.1, 7.4, and 7.5 78
Chapter 3. Operators in a Bounded Domain 86
§13. Douglis Nirenberg Elliptic Operators. Dirichlet Type Problems 86
§14. General Boundary Value Problems for Elliptic Operators 101
§15. Problems with Resolvable Constraints 113
§16. Electromagnetic Resonator 117
§17. Asymptotics of the Discrete Spectrum of Douglis Nirenberg
Operators with a Totally Disconnected Essential Spectrum 121
§18. Linearized Stationary Navier Stokes System 129
§19. Asymptotics for Eigenfrequencies of a Shell in a
Vacuum 136
Chapter 4. Operators in Unbounded Domains 139
§20. Schrodinger Operators with Increasing Potential 139
viii Contents
§21. Asymptotics of a Discrete Spectrum of Schrodinger Operators and
Dirac Operators with Decreasing Potentials 144
Chapter 5. Asymptotics of the Spectrum of Pseudodifferential Operators
with Operator Valued Symbols and Some Applications 161
§22. Pseudodifferential Operators with Operator Valued Symbols 161
§23. Boundary Value Problems in Strongly Anisotropic Domains 168
Chapter 6. Degenerate Differential Operators 183
§24. General Analysis of Degenerate Operators and Generalizations
of the Weyl Formula 183
§25. Schrodinger Operators with Degenerate Homogeneous Potential 190
§26. Model Problems for Degenerate Differential Operators in a
Bounded Domain 203
§27. Degenerate Differential Operators in a Bounded Domain 237
§28. Degenerate Differential Operators in an Unbounded Domain 240
Appendix: Basic Variational Theorems 247
A Brief Review of the Bibliography 252
Bibliography 260
Notation Index 277
Subject Index 279
|
| any_adam_object | 1 |
| author | Levendorskij, Sergej Z. 1951- |
| author_GND | (DE-588)13349876X |
| author_facet | Levendorskij, Sergej Z. 1951- |
| author_role | aut |
| author_sort | Levendorskij, Sergej Z. 1951- |
| author_variant | s z l sz szl |
| building | Verbundindex |
| bvnumber | BV004257367 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)246569991 (DE-599)BVBBV004257367 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01728nam a2200409 cb4500</leader><controlfield tag="001">BV004257367</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230825 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910314s1990 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0792305396</subfield><subfield code="9">0-7923-0539-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246569991</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004257367</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Levendorskij, Sergej Z.</subfield><subfield code="d">1951-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)13349876X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Asymptotic distribution of eigenvalues of differential operators</subfield><subfield code="c">by Serge Levendorskiĭ</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht u.a.</subfield><subfield code="b">Kluwer Acad. Publ.</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 279 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematics and its applications / Soviet series</subfield><subfield code="v">53</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus d. Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Asymptotische Verteilung</subfield><subfield code="0">(DE-588)4739185-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Asymptotische Verteilung</subfield><subfield code="0">(DE-588)4739185-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Soviet series</subfield><subfield code="t">Mathematics and its applications</subfield><subfield code="v">53</subfield><subfield code="w">(DE-604)BV004708148</subfield><subfield code="9">53</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002648346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002648346</subfield></datafield></record></collection> |
| id | DE-604.BV004257367 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:10:32Z |
| institution | BVB |
| isbn | 0792305396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002648346 |
| oclc_num | 246569991 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-355 DE-BY-UBR DE-703 DE-19 DE-BY-UBM DE-29T DE-188 |
| owner_facet | DE-12 DE-739 DE-355 DE-BY-UBR DE-703 DE-19 DE-BY-UBM DE-29T DE-188 |
| physical | XVIII, 279 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Levendorskij, Sergej Z. 1951- Verfasser (DE-588)13349876X aut Asymptotic distribution of eigenvalues of differential operators by Serge Levendorskiĭ Dordrecht u.a. Kluwer Acad. Publ. 1990 XVIII, 279 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 53 Aus d. Russ. übers. Differentialoperator (DE-588)4012251-7 gnd rswk-swf Asymptotische Verteilung (DE-588)4739185-6 gnd rswk-swf Eigenwert (DE-588)4151200-5 gnd rswk-swf Differentialoperator (DE-588)4012251-7 s Eigenwert (DE-588)4151200-5 s Asymptotische Verteilung (DE-588)4739185-6 s DE-604 Soviet series Mathematics and its applications 53 (DE-604)BV004708148 53 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002648346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levendorskij, Sergej Z. 1951- Asymptotic distribution of eigenvalues of differential operators Differentialoperator (DE-588)4012251-7 gnd Asymptotische Verteilung (DE-588)4739185-6 gnd Eigenwert (DE-588)4151200-5 gnd |
| subject_GND | (DE-588)4012251-7 (DE-588)4739185-6 (DE-588)4151200-5 |
| title | Asymptotic distribution of eigenvalues of differential operators |
| title_auth | Asymptotic distribution of eigenvalues of differential operators |
| title_exact_search | Asymptotic distribution of eigenvalues of differential operators |
| title_full | Asymptotic distribution of eigenvalues of differential operators by Serge Levendorskiĭ |
| title_fullStr | Asymptotic distribution of eigenvalues of differential operators by Serge Levendorskiĭ |
| title_full_unstemmed | Asymptotic distribution of eigenvalues of differential operators by Serge Levendorskiĭ |
| title_short | Asymptotic distribution of eigenvalues of differential operators |
| title_sort | asymptotic distribution of eigenvalues of differential operators |
| topic | Differentialoperator (DE-588)4012251-7 gnd Asymptotische Verteilung (DE-588)4739185-6 gnd Eigenwert (DE-588)4151200-5 gnd |
| topic_facet | Differentialoperator Asymptotische Verteilung Eigenwert |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002648346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
| work_keys_str_mv | AT levendorskijsergejz asymptoticdistributionofeigenvaluesofdifferentialoperators |