Pseudo-differential operators and the Nash-Moser theorem:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Providence, Rhode Island
American Mathematical Society
2007
|
| Series: | Graduate studies in mathematics
82 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 168 Seiten |
| ISBN: | 9780821834541 |
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| 245 | 1 | 0 | |a Pseudo-differential operators and the Nash-Moser theorem |c Serge Alinhac ; Patrick Gérard ; translated by Stephen S. Wilson |
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Record in the Search Index
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| adam_text | PSEUDO-DIFFERENTIAL OPERATORS AND THE NASH-MOSER THEOREM SERGE ALINHAC
PATRICK GERARD TRANSLATED BY STEPHEN S. WILSON GRADUATE STUDIES IN
MATHEMATICS VOLUME 82 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE
ISLAND CONTENTS PREFACE TO THE ENGLISH EDITION VII GENERAL INTRODUCTION
1 CHAPTER 0. NOTATION AND REVIEW OF DISTRIBUTION THEORY 5 §1. SPACES OF
DIFFERENTIABLE FUNCTIONS AND DIFFERENTIAL OPERATORS 5 §2. DISTRIBUTIONS
ON AN OPEN SET OF R 6 §3. CONVOLUTION 8 §4. KERNELS 9 §5. FOURIER
ANALYSIS ON M. N 10 CHAPTER I. PSEUDO-DIFFERENTIAL OPERATORS 15 §1.
INTRODUCTION 15 §2. SYMBOLS 20 §3. PSEUDO-DIFFERENTIAL OPERATORS IN S
24 §4. COMPOSITION OF OPERATORS 28 §5. ACTION OF PSEUDO-DIFFERENTIAL
OPERATORS AND SOBOLEV SPACES 29 §6. OPERATORS IN AN OPEN SUBSET OF R N
34 §7. OPERATORS ON A MANIFOLD 37 §8. APPENDIX 41 COMMENTARY ON CHAPTER
I 49 EXERCISES FOR CHAPTER I 50 CHAPTER II. NONLINEAR DYADIC ANALYSIS,
MICROLOCAL ANALYSIS, ENERGY ESTIMATES 77 VI CONTENTS §A. NONLINEAR
DYADIC ANALYSIS 77 §B. MICROLOCAL ANALYSIS: WAVE FRONT SET AND
PSEUDO-DIFFERENTIAL OPERATORS 89 §C. ENERGY ESTIMATES 98 COMMENTARY ON
CHAPTER II 106 EXERCISES FOR CHAPTER II 107 CHAPTER III. IMPLICIT
FUNCTION THEOREMS 121 §A. IMPLICIT FUNCTION THEOREM AND ELLIPTIC
PROBLEMS 121 §B. TWO EXAMPLES OF THE USE OF THE FIXED-POINT METHOD 128
§C. NASH-MOSER THEOREM 135 COMMENTARY ON CHAPTER III 153 EXERCISES FOR
CHAPTER III 154 BIBLIOGRAPHY 161 MAIN NOTATION INTRODUCED 165 INDEX 167
|
| adam_txt |
PSEUDO-DIFFERENTIAL OPERATORS AND THE NASH-MOSER THEOREM SERGE ALINHAC
PATRICK GERARD TRANSLATED BY STEPHEN S. WILSON GRADUATE STUDIES IN
MATHEMATICS VOLUME 82 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE
ISLAND CONTENTS PREFACE TO THE ENGLISH EDITION VII GENERAL INTRODUCTION
1 CHAPTER 0. NOTATION AND REVIEW OF DISTRIBUTION THEORY 5 §1. SPACES OF
DIFFERENTIABLE FUNCTIONS AND DIFFERENTIAL OPERATORS 5 §2. DISTRIBUTIONS
ON AN OPEN SET OF R" 6 §3. CONVOLUTION 8 §4. KERNELS 9 §5. FOURIER
ANALYSIS ON M. N 10 CHAPTER I. PSEUDO-DIFFERENTIAL OPERATORS 15 §1.
INTRODUCTION 15 §2. SYMBOLS 20 §3. PSEUDO-DIFFERENTIAL OPERATORS IN S'
24 §4. COMPOSITION OF OPERATORS 28 §5. ACTION OF PSEUDO-DIFFERENTIAL
OPERATORS AND SOBOLEV SPACES 29 §6. OPERATORS IN AN OPEN SUBSET OF R N
34 §7. OPERATORS ON A MANIFOLD 37 §8. APPENDIX 41 COMMENTARY ON CHAPTER
I 49 EXERCISES FOR CHAPTER I 50 CHAPTER II. NONLINEAR DYADIC ANALYSIS,
MICROLOCAL ANALYSIS, ENERGY ESTIMATES 77 VI CONTENTS §A. NONLINEAR
DYADIC ANALYSIS 77 §B. MICROLOCAL ANALYSIS: WAVE FRONT SET AND
PSEUDO-DIFFERENTIAL OPERATORS 89 §C. ENERGY ESTIMATES 98 COMMENTARY ON
CHAPTER II 106 EXERCISES FOR CHAPTER II 107 CHAPTER III. IMPLICIT
FUNCTION THEOREMS 121 §A. IMPLICIT FUNCTION THEOREM AND ELLIPTIC
PROBLEMS 121 §B. TWO EXAMPLES OF THE USE OF THE FIXED-POINT METHOD 128
§C. NASH-MOSER THEOREM 135 COMMENTARY ON CHAPTER III 153 EXERCISES FOR
CHAPTER III 154 BIBLIOGRAPHY 161 MAIN NOTATION INTRODUCED 165 INDEX 167 |
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| author | Alinhac, Serge 1948- Gérard, Patrick 1961- |
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| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.7 |
| callnumber-search | QA329.7 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)427472402 (DE-599)BVBBV022760364 |
| dewey-full | 515.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7242 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV022760364 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:34:19Z |
| indexdate | 2024-07-09T21:05:28Z |
| institution | BVB |
| isbn | 9780821834541 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015965932 |
| oclc_num | 427472402 |
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| physical | VII, 168 Seiten |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Alinhac, Serge 1948- Verfasser (DE-588)143378716 aut Opérateurs pseudo-différentiels et théorème de Nash-Moser Pseudo-differential operators and the Nash-Moser theorem Serge Alinhac ; Patrick Gérard ; translated by Stephen S. Wilson Providence, Rhode Island American Mathematical Society 2007 VII, 168 Seiten txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 82 Funciones implicitas Operadores pseudodiferenciales Implizite Funktion (DE-588)4570203-2 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s Implizite Funktion (DE-588)4570203-2 s DE-604 Gérard, Patrick 1961- Verfasser (DE-588)1141695936 aut Wilson, Stephen S. Sonstige oth Graduate studies in mathematics 82 (DE-604)BV009739289 82 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015965932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alinhac, Serge 1948- Gérard, Patrick 1961- Pseudo-differential operators and the Nash-Moser theorem Graduate studies in mathematics Funciones implicitas Operadores pseudodiferenciales Implizite Funktion (DE-588)4570203-2 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4570203-2 (DE-588)4047640-6 |
| title | Pseudo-differential operators and the Nash-Moser theorem |
| title_alt | Opérateurs pseudo-différentiels et théorème de Nash-Moser |
| title_auth | Pseudo-differential operators and the Nash-Moser theorem |
| title_exact_search | Pseudo-differential operators and the Nash-Moser theorem |
| title_exact_search_txtP | Pseudo-differential operators and the Nash-Moser theorem |
| title_full | Pseudo-differential operators and the Nash-Moser theorem Serge Alinhac ; Patrick Gérard ; translated by Stephen S. Wilson |
| title_fullStr | Pseudo-differential operators and the Nash-Moser theorem Serge Alinhac ; Patrick Gérard ; translated by Stephen S. Wilson |
| title_full_unstemmed | Pseudo-differential operators and the Nash-Moser theorem Serge Alinhac ; Patrick Gérard ; translated by Stephen S. Wilson |
| title_short | Pseudo-differential operators and the Nash-Moser theorem |
| title_sort | pseudo differential operators and the nash moser theorem |
| topic | Funciones implicitas Operadores pseudodiferenciales Implizite Funktion (DE-588)4570203-2 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Funciones implicitas Operadores pseudodiferenciales Implizite Funktion Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015965932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009739289 |
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