Introduction to nonlinear dispersive equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2015
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781493921805 9781493921812 |
| DOI: | 10.1007/978-1-4939-2181-2 |
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Datensatz im Suchindex
| _version_ | 1804152807173914624 |
|---|---|
| adam_text | INTRODUCTION TO NONLINEAR DISPERSIVE EQUATIONS
/ LINARES, FELIPE
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. THE FOURIER TRANSFORM
2. INTERPOLATION OF OPERATORS
3. SOBOLEV SPACES AND PSEUDO-DIFFERENTIAL OPERATORS
4. THE LINEAR SCHRODINGER EQUATION
5. THE NON-LINEAR SCHRODINGER EQUATION
6. ASYMPTOTIC BEHAVIOR FOR NLS EQUATION
7. KORTEWEG-DE VRIES EQUATION
8. ASYMPTOTIC BEHAVIOR FOR K-GKDV EQUATIONS
9. OTHER NONLINEAR DISPERSIVE MODELS
10. GENERAL QUASILINEAR SCHRODINGER EQUATION
PROOF OF THEOREM 2.8
PROOF OF LEMMA 4.2
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTRODUCTION TO NONLINEAR DISPERSIVE EQUATIONS
/ LINARES, FELIPE
: 2015
ABSTRACT / INHALTSTEXT
THIS TEXTBOOK INTRODUCES THE WELL-POSEDNESS THEORY FOR INITIAL-VALUE
PROBLEMS OF NONLINEAR, DISPERSIVE PARTIAL DIFFERENTIAL EQUATIONS, WITH
SPECIAL FOCUS ON TWO KEY MODELS, THE KORTEWEG–DE VRIES EQUATION AND
THE NONLINEAR SCHROEDINGER EQUATION. A CONCISE AND SELF-CONTAINED
TREATMENT OF BACKGROUND MATERIAL (THE FOURIER TRANSFORM, INTERPOLATION
THEORY, SOBOLEV SPACES, AND THE LINEAR SCHROEDINGER EQUATION) PREPARES
THE READER TO UNDERSTAND THE MAIN TOPICS COVERED: THE INITIAL-VALUE
PROBLEM FOR THE NONLINEAR SCHROEDINGER EQUATION AND THE GENERALIZED
KORTEWEG–DE VRIES EQUATION, PROPERTIES OF THEIR SOLUTIONS, AND A
SURVEY OF GENERAL CLASSES OF NONLINEAR DISPERSIVE EQUATIONS OF PHYSICAL
AND MATHEMATICAL SIGNIFICANCE. EACH CHAPTER ENDS WITH AN EXPERT ACCOUNT
OF RECENT DEVELOPMENTS AND OPEN PROBLEMS, AS WELL AS EXERCISES. THE
FINAL CHAPTER GIVES A DETAILED EXPOSITION OF LOCAL WELL-POSEDNESS FOR
THE NONLINEAR SCHROEDINGER EQUATION, TAKING THE READER TO THE FOREFRONT
OF RECENT RESEARCH. THE SECOND EDITION OF INTRODUCTION TO NONLINEAR
DISPERSIVE EQUATIONS BUILDS UPON THE SUCCESS OF THE FIRST EDITION BY THE
ADDITION OF UPDATED MATERIAL ON THE MAIN TOPICS, AN EXPANDED
BIBLIOGRAPHY, AND NEW EXERCISES. ASSUMING ONLY BASIC KNOWLEDGE OF
COMPLEX ANALYSIS AND INTEGRATION THEORY, THIS BOOK WILL ENABLE GRADUATE
STUDENTS AND RESEARCHERS TO ENTER THIS ACTIVELY DEVELOPING FIELD
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Linares, Felipe Ponce, Gustavo |
| author_facet | Linares, Felipe Ponce, Gustavo |
| author_role | aut aut |
| author_sort | Linares, Felipe |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-2181-2 |
| format | Electronic eBook |
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| spellingShingle | Linares, Felipe Ponce, Gustavo Introduction to nonlinear dispersive equations Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Wellengleichung (DE-588)4065315-8 gnd |
| subject_GND | (DE-588)4128900-6 (DE-588)4065315-8 |
| title | Introduction to nonlinear dispersive equations |
| title_auth | Introduction to nonlinear dispersive equations |
| title_exact_search | Introduction to nonlinear dispersive equations |
| title_full | Introduction to nonlinear dispersive equations Felipe Linares ; Gustavo Ponce |
| title_fullStr | Introduction to nonlinear dispersive equations Felipe Linares ; Gustavo Ponce |
| title_full_unstemmed | Introduction to nonlinear dispersive equations Felipe Linares ; Gustavo Ponce |
| title_short | Introduction to nonlinear dispersive equations |
| title_sort | introduction to nonlinear dispersive equations |
| topic | Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Wellengleichung (DE-588)4065315-8 gnd |
| topic_facet | Nichtlineare partielle Differentialgleichung Wellengleichung |
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