The Analysis of Solutions of Elliptic Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Mathematics and Its Applications
406 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts |
| Beschreibung: | 1 Online-Ressource (XX, 484 p) |
| ISBN: | 9789401588041 9789048148455 |
| DOI: | 10.1007/978-94-015-8804-1 |
Internformat
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| 500 | |a This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts | ||
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Datensatz im Suchindex
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| author | Tarkhanov, Nikolai N. |
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| 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 | 10.1007/978-94-015-8804-1 |
| format | Electronic eBook |
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| id | DE-604.BV042424091 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401588041 9789048148455 |
| language | English |
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| spelling | Tarkhanov, Nikolai N. Verfasser aut The Analysis of Solutions of Elliptic Equations by Nikolai N. Tarkhanov Dordrecht Springer Netherlands 1997 1 Online-Ressource (XX, 484 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 406 This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts Mathematics Functional analysis Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Approximations and Expansions Several Complex Variables and Analytic Spaces Potential Theory Functional Analysis Mathematik Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8804-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tarkhanov, Nikolai N. The Analysis of Solutions of Elliptic Equations Mathematics Functional analysis Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Approximations and Expansions Several Complex Variables and Analytic Spaces Potential Theory Functional Analysis Mathematik Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| subject_GND | (DE-588)4014485-9 |
| title | The Analysis of Solutions of Elliptic Equations |
| title_auth | The Analysis of Solutions of Elliptic Equations |
| title_exact_search | The Analysis of Solutions of Elliptic Equations |
| title_full | The Analysis of Solutions of Elliptic Equations by Nikolai N. Tarkhanov |
| title_fullStr | The Analysis of Solutions of Elliptic Equations by Nikolai N. Tarkhanov |
| title_full_unstemmed | The Analysis of Solutions of Elliptic Equations by Nikolai N. Tarkhanov |
| title_short | The Analysis of Solutions of Elliptic Equations |
| title_sort | the analysis of solutions of elliptic equations |
| topic | Mathematics Functional analysis Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Approximations and Expansions Several Complex Variables and Analytic Spaces Potential Theory Functional Analysis Mathematik Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| topic_facet | Mathematics Functional analysis Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Approximations and Expansions Several Complex Variables and Analytic Spaces Potential Theory Functional Analysis Mathematik Elliptische Differentialgleichung |
| url | https://doi.org/10.1007/978-94-015-8804-1 |
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