Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
2013
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| Schriftenreihe: | Springer Theses
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 109 S. |
| ISBN: | 9783642336959 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 COMPETING SPECIES SYSTEM 1
1.2 BOSE-EINSTEIN CONDENSATES 6
1.3 MAIN RESULTS 8
2 UNIQUENESS, STABILITY AND UNIFORM LIPSCHITZ ESTIMATES 17
2.1 A UNIQUENESS RESULT FOR THE ELLIPTIC SYSTEM 17
2.2 ASYMPTOTICS IN THE PARABOLIC CASE 21
2.3 A UNIFORM LIPSCHITZ ESTIMATE 24
3 UNIQUENESS IN THE SINGULAR LIMIT 27
3.1 AN INTERIOR MEASURE ESTIMATE 27
3.2 UNIQUENESS IN THE SINGULAR LIMIT 33
3.2.1 VERIFICATION OF THE CONVERGENCE OF THE INTEGRATION 4 0
3.3 UNIQUENESS AND ASYMPTOTICS FOR THE SINGULAR PARABOLIC SYSTEM 41
4 THE DYNAMICS O F ONE DIMENSIONAL SINGULAR LIMITING PROBLEM . . . 45
4.1 THE STATIONARY CASE 45
4.2 THE PARABOLIC CASE 48
5 APPROXIMATE CLEAN UP LEMMA 61
5.1 SYSTEMS WITH ZEROTH ORDER TERMS 61
5.2 PROOF O F THE APPROXIMATE CLEAN UP LEMMA 6 6
5.3 A LINEARIZED VERSION 72
5.4 A BOUNDARY VERSION 78
6 ASYMPTOTICS IN STRONG COMPETITION 81
6.1 NON-DEGENERACY CONDITIONS AND THE MAIN RESULT 81
6.2 A COARSE CONVERGENCE RESULT 84
6.3 THE REFINED CONVERGENCE RESULT 89
I X
HTTP://D-NB.INFO/1025399110
IMAGE 2
X CONTENTS
7 THE LIMIT EQUATION O F A SINGULARLY PERTURBED SYSTEM 95
7.1 THE ELLIPTIC CASE 95
7.2 THE PARABOLIC CASE 99
REFERENCES 107
INDEX 109 |
| any_adam_object | 1 |
| author | Wang, Kelei |
| author_facet | Wang, Kelei |
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| author_sort | Wang, Kelei |
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| ctrlnum | (OCoLC)828789282 (DE-599)DNB1025399110 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
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| discipline | Mathematik |
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| isbn | 9783642336959 |
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| spelling | Wang, Kelei Verfasser aut Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations Kelei Wang Berlin Springer 2013 X, 109 S. txt rdacontent n rdamedia nc rdacarrier Springer Theses Zugl.: Diss. System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf Freies Randwertproblem (DE-588)4155303-2 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content System von partiellen Differentialgleichungen (DE-588)4116672-3 s Singuläre Störung (DE-588)4055100-3 s Freies Randwertproblem (DE-588)4155303-2 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4107677&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497422&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wang, Kelei Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| subject_GND | (DE-588)4116672-3 (DE-588)4155303-2 (DE-588)4055100-3 (DE-588)4134367-0 (DE-588)4113937-9 |
| title | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations |
| title_auth | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations |
| title_exact_search | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations |
| title_full | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations Kelei Wang |
| title_fullStr | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations Kelei Wang |
| title_full_unstemmed | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations Kelei Wang |
| title_short | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations |
| title_sort | free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| topic | System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| topic_facet | System von partiellen Differentialgleichungen Freies Randwertproblem Singuläre Störung Asymptotisches Lösungsverhalten Hochschulschrift |
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