Elliptic Partial Differential Equations of Second Order:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1977
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
224 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume is intended as an essentially self contained exposition of portions of the theory of second order quasilinear elliptic partial differential equations, with emphasis on the Dirichlet problem in bounded domains. It grew out of lecture notes for graduate courses by the authors at Stanford University, the final material extending well beyond the scope of these courses. By including preparatory chapters on topics such as potential theory and functional analysis, we have attempted to make the work accessible to a broad spectrum of readers. Above all, we hope the readers of this book will gain an appreciation of the multitude of ingenious barehanded techniques that have been developed in the study of elliptic equations and have become part of the repertoire of analysis. Many individuals have assisted us during the evolution of this work over the past several years. In particular, we are grateful for the valuable discussions with L. M. Simon and his contributions in Sections 15.4 to 15.8; for the helpful comments and corrections of J. M. Cross, A. S. Geue, J. Nash, P. Trudinger and B. Turkington; for the contributions of G. Williams in Section 10.5 and of A. S. Geue in Section 10.6; and for the impeccably typed manuscript which resulted from the dedicated efforts oflsolde Field at Stanford and Anna Zalucki at Canberra. The research of the authors connected with this volume was supported in part by the National Science Foundation |
| Beschreibung: | 1 Online-Ressource (X, 401 p) |
| ISBN: | 9783642963797 9783642963810 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-642-96379-7 |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9783642963797 9783642963810 |
| issn | 0072-7830 |
| language | English |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Gilbarg, David Verfasser aut Elliptic Partial Differential Equations of Second Order by David Gilbarg, Neil S. Trudinger Berlin, Heidelberg Springer Berlin Heidelberg 1977 1 Online-Ressource (X, 401 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 224 0072-7830 This volume is intended as an essentially self contained exposition of portions of the theory of second order quasilinear elliptic partial differential equations, with emphasis on the Dirichlet problem in bounded domains. It grew out of lecture notes for graduate courses by the authors at Stanford University, the final material extending well beyond the scope of these courses. By including preparatory chapters on topics such as potential theory and functional analysis, we have attempted to make the work accessible to a broad spectrum of readers. Above all, we hope the readers of this book will gain an appreciation of the multitude of ingenious barehanded techniques that have been developed in the study of elliptic equations and have become part of the repertoire of analysis. Many individuals have assisted us during the evolution of this work over the past several years. In particular, we are grateful for the valuable discussions with L. M. Simon and his contributions in Sections 15.4 to 15.8; for the helpful comments and corrections of J. M. Cross, A. S. Geue, J. Nash, P. Trudinger and B. Turkington; for the contributions of G. Williams in Section 10.5 and of A. S. Geue in Section 10.6; and for the impeccably typed manuscript which resulted from the dedicated efforts oflsolde Field at Stanford and Anna Zalucki at Canberra. The research of the authors connected with this volume was supported in part by the National Science Foundation Mathematics Mathematics, general Mathematik Ordnung 2 (DE-588)4350619-7 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Funktionalraum (DE-588)4155679-3 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 s Ordnung 2 (DE-588)4350619-7 s Funktionalraum (DE-588)4155679-3 s 1\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 Trudinger, Neil S. Sonstige oth https://doi.org/10.1007/978-3-642-96379-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gilbarg, David Elliptic Partial Differential Equations of Second Order Mathematics Mathematics, general Mathematik Ordnung 2 (DE-588)4350619-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Funktionalraum (DE-588)4155679-3 gnd |
| subject_GND | (DE-588)4350619-7 (DE-588)4044779-0 (DE-588)4014485-9 (DE-588)4155679-3 |
| title | Elliptic Partial Differential Equations of Second Order |
| title_auth | Elliptic Partial Differential Equations of Second Order |
| title_exact_search | Elliptic Partial Differential Equations of Second Order |
| title_full | Elliptic Partial Differential Equations of Second Order by David Gilbarg, Neil S. Trudinger |
| title_fullStr | Elliptic Partial Differential Equations of Second Order by David Gilbarg, Neil S. Trudinger |
| title_full_unstemmed | Elliptic Partial Differential Equations of Second Order by David Gilbarg, Neil S. Trudinger |
| title_short | Elliptic Partial Differential Equations of Second Order |
| title_sort | elliptic partial differential equations of second order |
| topic | Mathematics Mathematics, general Mathematik Ordnung 2 (DE-588)4350619-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Funktionalraum (DE-588)4155679-3 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Ordnung 2 Partielle Differentialgleichung Elliptische Differentialgleichung Funktionalraum |
| url | https://doi.org/10.1007/978-3-642-96379-7 |
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