Solutions of nonlinear Schrödinger systems:
Gespeichert in:
Beteilige Person: | |
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Format: | Hochschulschrift/Dissertation Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cham [u.a.]
Springer
2015
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Schriftenreihe: | Springer theses
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Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 https://doi.org/10.1007/978-3-662-45478-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027667525&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=027667525&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 1 Online-Ressource |
ISBN: | 9783662454770 9783662454787 |
DOI: | 10.1007/978-3-662-45478-7 |
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Datensatz im Suchindex
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adam_text | SOLUTIONS OF NONLINEAR SCHRӦDINGER SYSTEMS
/ CHEN, ZHIJIE
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
A BEC SYSTEM WITH DIMENSIONS N = 2;3: GROUND STATE SOLUTIONS
A BEC SYSTEM WITH DIMENSIONS N = 2;3: SIGN-CHANGING SOLUTIONS
A BEC SYSTEM WITH DIMENSIONS N = 4: CRITICAL CASE
A GENERALIZED BEC SYSTEM WITH CRITICAL EXPONENTS IN DIMENSIONS
A LINEARLY COUPLED SCHRӦDINGER SYSTEM WITH CRITICAL EXPONENT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SOLUTIONS OF NONLINEAR SCHRӦDINGER SYSTEMS
/ CHEN, ZHIJIE
: 2015
ABSTRACT / INHALTSTEXT
THE EXISTENCE AND QUALITATIVE PROPERTIES OF NONTRIVIAL SOLUTIONS FOR
SOME IMPORTANT NONLINEAR SCHRӦDINGER SYSTEMS HAVE BEEN STUDIED IN THIS
THESIS. FOR A WELL-KNOWN SYSTEM ARISING FROM NONLINEAR OPTICS AND
BOSE-EINSTEIN CONDENSATES (BEC), IN THE SUBCRITICAL CASE, QUALITATIVE
PROPERTIES OF GROUND STATE SOLUTIONS, INCLUDING AN OPTIMAL PARAMETER
RANGE FOR THE EXISTENCE, THE UNIQUENESS AND ASYMPTOTIC BEHAVIORS, HAVE
BEEN INVESTIGATED AND THE RESULTS COULD FIRSTLY PARTIALLY ANSWER OPEN
QUESTIONS RAISED BY AMBROSETTI, COLORADO AND SIRAKOV. IN THE CRITICAL
CASE, A SYSTEMATICAL RESEARCH ON GROUND STATE SOLUTIONS, INCLUDING THE
EXISTENCE, THE NONEXISTENCE, THE UNIQUENESS AND THE PHASE SEPARATION
PHENOMENA OF THE LIMIT PROFILE HAS BEEN PRESENTED, WHICH SEEMS TO BE THE
FIRST CONTRIBUTION FOR BEC IN THE CRITICAL CASE. FURTHERMORE, SOME QUITE
DIFFERENT PHENOMENA WERE ALSO STUDIED IN A MORE GENERAL CRITICAL SYSTEM.
FOR THE CLASSICAL BREZIS-NIRENBERG CRITICAL EXPONENT PROBLEM, THE SHARP
ENERGY ESTIMATE OF LEAST ENERGY SOLUTIONS IN A BALL HAS BEEN
INVESTIGATED IN THIS STUDY. FINALLY, FOR AMBROSETTI TYPE LINEARLY
COUPLED SCHRӦDINGER EQUATIONS WITH CRITICAL EXPONENT, AN OPTIMAL RESULT
ON THE EXISTENCE AND NONEXISTENCE OF GROUND STATE SOLUTIONS FOR
DIFFERENT COUPLING CONSTANTS WAS ALSO OBTAINED IN THIS THESIS. THESE
RESULTS HAVE MANY APPLICATIONS IN PHYSICS AND PDES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Chen, Zhijie |
author_GND | (DE-588)1072723980 |
author_facet | Chen, Zhijie |
author_role | aut |
author_sort | Chen, Zhijie |
author_variant | z c zc |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-3-662-45478-7 |
format | Thesis Electronic eBook |
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genre_facet | Hochschulschrift |
id | DE-604.BV042229189 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:05:20Z |
institution | BVB |
isbn | 9783662454770 9783662454787 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027667525 |
oclc_num | 898059740 |
open_access_boolean | |
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publishDate | 2015 |
publishDateSearch | 2015 |
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publisher | Springer |
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series2 | Springer theses |
spellingShingle | Chen, Zhijie Solutions of nonlinear Schrödinger systems Bose-Einstein-Kondensation (DE-588)4402897-0 gnd Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd Elliptisches System (DE-588)4121184-4 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
subject_GND | (DE-588)4402897-0 (DE-588)4278277-6 (DE-588)4121184-4 (DE-588)4120678-2 (DE-588)4113937-9 |
title | Solutions of nonlinear Schrödinger systems |
title_auth | Solutions of nonlinear Schrödinger systems |
title_exact_search | Solutions of nonlinear Schrödinger systems |
title_full | Solutions of nonlinear Schrödinger systems Zhijie Chen |
title_fullStr | Solutions of nonlinear Schrödinger systems Zhijie Chen |
title_full_unstemmed | Solutions of nonlinear Schrödinger systems Zhijie Chen |
title_short | Solutions of nonlinear Schrödinger systems |
title_sort | solutions of nonlinear schrodinger systems |
topic | Bose-Einstein-Kondensation (DE-588)4402897-0 gnd Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd Elliptisches System (DE-588)4121184-4 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
topic_facet | Bose-Einstein-Kondensation Nichtlineare Schrödinger-Gleichung Elliptisches System Lösung Mathematik Hochschulschrift |
url | https://doi.org/10.1007/978-3-662-45478-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027667525&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=027667525&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT chenzhijie solutionsofnonlinearschrodingersystems |