Verfügbarkeit: Introduction to nonlinear dispersive equations

Introduction to nonlinear dispersive equations:

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Bibliographische Detailangaben
Beteiligte Personen:	Linares, Felipe (VerfasserIn), Ponce, Gustavo (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	New York, NY [u.a.] Springer 2015
Schriftenreihe:	Universitext
Schlagwörter:	Nichtlineare partielle Differentialgleichung Wellengleichung Electronic book text
Links:	https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 https://doi.org/10.1007/978-1-4939-2181-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027694761&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027694761&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource
ISBN:	9781493921805 9781493921812
DOI:	10.1007/978-1-4939-2181-2

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Datensatz im Suchindex

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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.
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isbn	9781493921805 9781493921812
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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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