Solutions of nonlinear Schrödinger systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Springer theses
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783662454770 9783662454787 |
| DOI: | 10.1007/978-3-662-45478-7 |
Staff View
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Record in the Search Index
| _version_ | 1804152762042155008 |
|---|---|
| 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 |
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| author_sort | Chen, Zhijie |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-45478-7 |
| format | Thesis Electronic eBook |
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| spelling | Chen, Zhijie Verfasser (DE-588)1072723980 aut Solutions of nonlinear Schrödinger systems Zhijie Chen Cham [u.a.] Springer 2015 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer theses Zugl.: Beijing, Tsinghua Univ., Diss., 2014 Bose-Einstein-Kondensation (DE-588)4402897-0 gnd rswk-swf Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd rswk-swf Elliptisches System (DE-588)4121184-4 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Electronic book text (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 s Elliptisches System (DE-588)4121184-4 s Lösung Mathematik (DE-588)4120678-2 s Bose-Einstein-Kondensation (DE-588)4402897-0 s DE-604 https://doi.org/10.1007/978-3-662-45478-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf 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 Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf 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 Abstract |
| 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 |