Verfügbarkeit: Sobolev estimates for two dimensional gravity water waves

Sobolev estimates for two dimensional gravity water waves:

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Bibliographische Detailangaben
Beteiligte Personen:	Alazard, Thomas (VerfasserIn), Delort, Jean-Marc 1961- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Paris Sociéte Mathématique de France [2015]
Schriftenreihe:	Astérisque 374
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028819300&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 241 Seiten
ISBN:	9782856298213

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Datensatz im Suchindex

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adam_text	Titel: Sobolev estimates for two dimensional gravity water waves Autor: Alazard, Thomas Jahr: 2015 CONTENTS Introduction ..................................... 1. Description of the main results .............. 2. Properties of the Dirichlet-Ncumami operator 3. Paradifferential normal forms method ........ 4. Iterated vector fields Z ....................... 1 1 1 1 15 1. Statement of the main results ....................................... I!) 1.1. Definitions and properties of the Diriehlet-Neumami operator ....... 1!) 1.2. Main Sobolev estimate .............................................. 31 2. Estimates for the Dirichlet-Neumann operator ................... 3!) 2.1. Main results ........................................................ 40 2.2. Sharp estimates ..................................................... 43 2.3. Tame estimates ..................................................... 5(i 2.4. Paralinearization of the Dirichlet-Neumann operator ................ 5 S 2.5. Linearization of the Dirichlet-Neumann operator .................... (i() 2.6. Taylor expansions ................................................... 62 2.7. Smooth domains .................................................... 60 3. Normal form for the water waves equation ........................ 77 3.1. Quadratic approximations without losses ........................... 77 3.2. Quadratic and cubic terms in the equations ......................... 3 1 3.3. Quadratic normal form: strategy of the proof ....................... 37 3.4. Paradifferential operators ........................................... 33 3.5. The main equations ................................................. 05 3.6. System for the new unknown ........................................ 100 3.7. Energy est ¡mate ..................................................... 115 4. Commutation of the Z-field with the equations ................... 11!) 4.1. Action of t he Z-field on the Dirichlet-Neumann operator ............ 110 4.2. Other identities ..................................................... 123 4.3. Estimates for the action of iterated vector fields .................... 120 4.4. Nonlinear estimates ................................................. 142 4.5. Estimate of tho remainder terms .................................... 150 CONTKNTS viii 5. Energy estimates for the Z-field system ........................... 167 5.1. Notations ........................................................... 167 5.2. Xonnal form for t lit Z-systoms ...................................... 171 6. Appendices ............................................................ 209 A.l. Parndiffcrent ial calculus ............................................ 209 A.2. Estimates in Holder spaces ......................................... 215 A.5. Identities ........................................................... 217 A. l. Local existence results .............................................. 219 Index ...................................................................... 233 Bibliography .............................................................. 235
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author	Alazard, Thomas Delort, Jean-Marc 1961-
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id	DE-604.BV043400784
illustrated	Not Illustrated
indexdate	2024-12-20T17:35:30Z
institution	BVB
isbn	9782856298213
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-028819300
oclc_num	936207249
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physical	VIII, 241 Seiten
publishDate	2015
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publisher	Sociéte Mathématique de France
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series	Astérisque
series2	Astérisque
spellingShingle	Alazard, Thomas Delort, Jean-Marc 1961- Sobolev estimates for two dimensional gravity water waves Astérisque
title	Sobolev estimates for two dimensional gravity water waves
title_auth	Sobolev estimates for two dimensional gravity water waves
title_exact_search	Sobolev estimates for two dimensional gravity water waves
title_full	Sobolev estimates for two dimensional gravity water waves Thomas Alazard and Jean-Marc Delort
title_fullStr	Sobolev estimates for two dimensional gravity water waves Thomas Alazard and Jean-Marc Delort
title_full_unstemmed	Sobolev estimates for two dimensional gravity water waves Thomas Alazard and Jean-Marc Delort
title_short	Sobolev estimates for two dimensional gravity water waves
title_sort	sobolev estimates for two dimensional gravity water waves
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028819300&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV002579439
work_keys_str_mv	AT alazardthomas sobolevestimatesfortwodimensionalgravitywaterwaves AT delortjeanmarc sobolevestimatesfortwodimensionalgravitywaterwaves

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