Analysis of Heat Equations on Domains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
2004
|
| Schriftenreihe: | London Mathematical Society Monographs
31 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 Volltext Volltext |
| Beschreibung: | Main description: This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics. This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove Lp estimates for heat, Schrödinger, and wave type equations. A significant part of the results have been proved during the last decade. The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs |
| Beschreibung: | 1 Online-Ressource (296 S.) |
| ISBN: | 9781400826483 |
| DOI: | 10.1515/9781400826483 |
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Datensatz im Suchindex
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| id | DE-604.BV042522287 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-17T07:00:14Z |
| institution | BVB |
| isbn | 9781400826483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027956626 |
| oclc_num | 890470254 |
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| owner_facet | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-1043 DE-858 |
| physical | 1 Online-Ressource (296 S.) |
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| spelling | Ouhabaz, El-Maati Verfasser (DE-588)113444265 aut Analysis of Heat Equations on Domains Princeton, N.J. Princeton University Press 2004 1 Online-Ressource (296 S.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society Monographs 31 Main description: This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics. This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove Lp estimates for heat, Schrödinger, and wave type equations. A significant part of the results have been proved during the last decade. The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Wärmeleitungsgleichung (DE-588)4188859-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 s Spektraltheorie (DE-588)4116561-5 s Wärmeleitungsgleichung (DE-588)4188859-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-12016-1 https://doi.org/10.1515/9781400826483 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400826483&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ouhabaz, El-Maati Analysis of Heat Equations on Domains Elliptischer Differentialoperator (DE-588)4140057-4 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4140057-4 (DE-588)4188859-5 (DE-588)4116561-5 |
| title | Analysis of Heat Equations on Domains |
| title_auth | Analysis of Heat Equations on Domains |
| title_exact_search | Analysis of Heat Equations on Domains |
| title_full | Analysis of Heat Equations on Domains |
| title_fullStr | Analysis of Heat Equations on Domains |
| title_full_unstemmed | Analysis of Heat Equations on Domains |
| title_short | Analysis of Heat Equations on Domains |
| title_sort | analysis of heat equations on domains |
| topic | Elliptischer Differentialoperator (DE-588)4140057-4 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Elliptischer Differentialoperator Wärmeleitungsgleichung Spektraltheorie |
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