Degenerate Elliptic Equations
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
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| Schriftenreihe: | Mathematics and Its Applications
258 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 020 | |a 9789048142828 |c Print |9 978-90-481-4282-8 | ||
| 024 | 7 | |a 10.1007/978-94-017-1215-6 |2 doi | |
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| 100 | 1 | |a Levendorskij, Sergej Z. |d 1951- |e Verfasser |0 (DE-588)13349876X |4 aut | |
| 245 | 1 | 0 | |a Degenerate Elliptic Equations |c by Serge Levendorskii |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1993 | |
| 300 | |a 1 Online-Ressource (XII, 436 p) | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathematics and Its Applications |v 258 | |
| 500 | |a 0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2m(X,€) = L aa(x)€a lal=2m of the operator A is invertible on G X (~n \ 0); A is called elliptic on G, too. This definition works for systems of equations, for classical pseudo differential operators ("pdo), and for operators on a manifold n. Let us recall some facts concerning elliptic operators. 1 If n is closed, then for any s E ~ , is Fredholm and the following a priori estimate holds (2) 1 2 Introduction If m > 0 and A : C=(O; C') -+ L (0; C') is formally self-adjoint 2 with respect to a smooth positive density, then the closure Ao of A is a self-adjoint operator with discrete spectrum and for the distribution functions of the positive and negative eigenvalues (counted with multiplicity) of Ao one has the following Weyl formula: as t -+ 00, (3) n 2m = t / II N±(1,a2m(x,e))dxde T·O\O (on the right hand side, N±(t,a2m(x,e)) are the distribution functions of the matrix a2m(X,e) : C' -+ CU) | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Integral equations | |
| 650 | 4 | |a Integral Transforms | |
| 650 | 4 | |a Differential equations, partial | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Vibration | |
| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Vibration, Dynamical Systems, Control | |
| 650 | 4 | |a Quantum Physics | |
| 650 | 4 | |a Integral Transforms, Operational Calculus | |
| 650 | 4 | |a Integral Equations | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 0 | 7 | |a Elliptisch entartete Differentialgleichung |0 (DE-588)4152026-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2071248 |
|---|---|
| _version_ | 1816714051150938112 |
| any_adam_object | |
| 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 | BV042424240 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623111 (DE-599)BVBBV042424240 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-1215-6 |
| format | Electronic eBook |
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| id | DE-604.BV042424240 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:51:13Z |
| institution | BVB |
| isbn | 9789401712156 9789048142828 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859657 |
| oclc_num | 879623111 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 436 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer Netherlands |
| record_format | marc |
| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spellingShingle | Levendorskij, Sergej Z. 1951- Degenerate Elliptic Equations Mathematics and Its Applications Mathematics Integral equations Integral Transforms Differential equations, partial Quantum theory Vibration Partial Differential Equations Vibration, Dynamical Systems, Control Quantum Physics Integral Transforms, Operational Calculus Integral Equations Mathematik Quantentheorie Elliptisch entartete Differentialgleichung (DE-588)4152026-9 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4152026-9 (DE-588)4014485-9 (DE-588)4044779-0 |
| title | Degenerate Elliptic Equations |
| title_auth | Degenerate Elliptic Equations |
| title_exact_search | Degenerate Elliptic Equations |
| title_full | Degenerate Elliptic Equations by Serge Levendorskii |
| title_fullStr | Degenerate Elliptic Equations by Serge Levendorskii |
| title_full_unstemmed | Degenerate Elliptic Equations by Serge Levendorskii |
| title_short | Degenerate Elliptic Equations |
| title_sort | degenerate elliptic equations |
| topic | Mathematics Integral equations Integral Transforms Differential equations, partial Quantum theory Vibration Partial Differential Equations Vibration, Dynamical Systems, Control Quantum Physics Integral Transforms, Operational Calculus Integral Equations Mathematik Quantentheorie Elliptisch entartete Differentialgleichung (DE-588)4152026-9 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Integral equations Integral Transforms Differential equations, partial Quantum theory Vibration Partial Differential Equations Vibration, Dynamical Systems, Control Quantum Physics Integral Transforms, Operational Calculus Integral Equations Mathematik Quantentheorie Elliptisch entartete Differentialgleichung Elliptische Differentialgleichung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-94-017-1215-6 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT levendorskijsergejz degenerateellipticequations |