Strongly coupled parabolic and elliptic systems: existence and regularity of strong and weak solutions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications
Volume 28 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | X, 184 Seiten 24 cm |
| ISBN: | 9783110607154 3110607158 |
Internformat
MARC
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| 100 | 1 | |a Le, Dung |e Verfasser |0 (DE-588)1171349475 |4 aut | |
| 245 | 1 | 0 | |a Strongly coupled parabolic and elliptic systems |b existence and regularity of strong and weak solutions |c Dung Le |
| 264 | 1 | |a Berlin |b De Gruyter |c [2019] | |
| 264 | 4 | |c 2019 | |
| 300 | |a X, 184 Seiten |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications |v Volume 28 | |
| 650 | 0 | 7 | |a Reaktions-Diffusionsgleichung |0 (DE-588)4323967-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gekoppeltes System |0 (DE-588)4414616-4 |2 gnd |9 rswk-swf |
| 653 | |a Diffusion | ||
| 653 | |a Gekoppeltes System | ||
| 653 | |a Nichtlineare elliptische Differentialgleichung | ||
| 653 | |a Nichtlineare parabolische Differentialgleichung | ||
| 653 | |a System von partiellen Differentialgleichungen | ||
| 689 | 0 | 0 | |a Reaktions-Diffusionsgleichung |0 (DE-588)4323967-5 |D s |
| 689 | 0 | 1 | |a Gekoppeltes System |0 (DE-588)4414616-4 |D s |
| 689 | 0 | |5 DE-604 | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-060717-8 |
| 830 | 0 | |a De Gruyter series in nonlinear analysis and applications |v Volume 28 |w (DE-604)BV005530011 |9 28 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-030840039 | ||
Datensatz im Suchindex
| _version_ | 1804179355855749120 |
|---|---|
| adam_text | CONTENTS
PREFACE
1
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.3.1
3.3.2
3.3.3
3.4
3.5
4
4.1
4.2
4.2.1
4.2.2
4.3
4.4
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
-----
VII
INTRODUCTION * 1
INTERPOLATION GAGLIARDO-NIRENBERG INEQUALITIES * 9
HYPOTHESES ON THE MEASURES * 10
THE MAIN AND TECHNICAL INEQUALITY * 12
CONSEQUENCES OF THE TECHNICAL THEOREMS * 14
PROOF OF THEOREM
2.2.1
* 18
PROOF OF THEOREM
2.2.2
-----
26
THE PARABOLIC SYSTEMS * 29
THE MAIN STRUCTURAL CONDITIONS * 30
PRELIMINARIES AND MAIN RESULTS * 32
PROOF OF THE MAIN THEOREM * 35
THE SETTING OF FIXED-POINT THEORY * 37
A PRIORI ESTIMATES * 40
ON THE GROWTH OF
DU
-----
53
THE SIMPLER CASE * 55
EXISTENCE RESULTS FOR THE GENERAL SKT SYSTEM * 62
THE ELLIPTIC SYSTEMS * 71
THE MAIN RESULT * 72
PROOF OF THE MAIN THEOREM * 73
THE SETTING OF FIXED-POINT THEORY * 73
A PRIORI ESTIMATES * 76
THE SIMPLER CASE * 86
PROOF OF THE THEOREM ON THE GENERAL SKT SYSTEM * 90
CROSS-DIFFUSION SYSTEMS OF POROUS MEDIA TYPE * 99
THE GENERALIZED SKT SYSTEMS * 101
EXISTENCE OF STRONG/WEAK SOLUTIONS TO THE EVOLUTIONARY SYSTEMS * 104
THE PROOFS
-----
107
UNIQUENESS OF LIMITING SOLUTIONS * 117
EXISTENCE AND REGULARITY OF WEAK STEADY-STATE SOLUTIONS * 124
THE PROOFS
-----
125
THE GENERAL SKT SYSTEMS * 130
6 NONTRIVIAL STEADY-STATE SOLUTIONS * 137
6.1 ON TRIVIAL AND SEMITRIVIAL SOLUTIONS * 138
6.2 SOME GENERAL INDEX RESULTS * 140
6.3 APPLICATIONS OF INDEX RESULTS TO THE EXISTENCE OF NONTRIVIAL
STEADY-STATE
SOLUTIONS
-----
147
6.3.1 NOTES ON A MORE SPECIAL CASE AND A DIFFERENT WAY TO DEFINE
T
* 154
6.4 NONCONSTANT AND NONTRIVIAL SOLUTIONS * 157
6.4.1 SEMITRIVIAL CONSTANT SOLUTIONS * 158
6.4.2 NONTRIVIAL CONSTANT SOLUTIONS * 161
6.4.3 LARGE DIFFUSIVITY AND SOME NONEXISTENT RESULTS * 166
6.4.4 SMALL DIFFUSIVITY * 168
A THE DUALITY RBMO(P)-TF1 (P) * 171
A .L SOME SIMPLE CONSEQUENCES FROM TOLSA*S WORKS * 171
B SOME ALGEBRAIC INEQUALITIES * 175
8.1 ON THE SPECTRAL GAP CONDITIONS * 175
C PARTIAL REGULARITY * 179
BIBLIOGRAPHY * 183
INDEX* 185
|
| any_adam_object | 1 |
| author | Le, Dung |
| author_GND | (DE-588)1171349475 |
| author_facet | Le, Dung |
| author_role | aut |
| author_sort | Le, Dung |
| author_variant | d l dl |
| building | Verbundindex |
| bvnumber | BV045454726 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)1080868813 (DE-599)DNB1162289279 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV045454726 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:18:33Z |
| institution | BVB |
| isbn | 9783110607154 3110607158 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030840039 |
| oclc_num | 1080868813 |
| open_access_boolean | |
| owner | DE-20 DE-11 |
| owner_facet | DE-20 DE-11 |
| physical | X, 184 Seiten 24 cm |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter series in nonlinear analysis and applications |
| series2 | De Gruyter series in nonlinear analysis and applications |
| spelling | Le, Dung Verfasser (DE-588)1171349475 aut Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions Dung Le Berlin De Gruyter [2019] 2019 X, 184 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter series in nonlinear analysis and applications Volume 28 Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Gekoppeltes System (DE-588)4414616-4 gnd rswk-swf Diffusion Gekoppeltes System Nichtlineare elliptische Differentialgleichung Nichtlineare parabolische Differentialgleichung System von partiellen Differentialgleichungen Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Gekoppeltes System (DE-588)4414616-4 s DE-604 Erscheint auch als Online-Ausgabe, PDF 978-3-11-060876-2 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-060717-8 De Gruyter series in nonlinear analysis and applications Volume 28 (DE-604)BV005530011 28 B:DE-101 application/pdf http://d-nb.info/1162289279/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030840039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Le, Dung Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions De Gruyter series in nonlinear analysis and applications Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Gekoppeltes System (DE-588)4414616-4 gnd |
| subject_GND | (DE-588)4323967-5 (DE-588)4414616-4 |
| title | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_auth | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_exact_search | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_full | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions Dung Le |
| title_fullStr | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions Dung Le |
| title_full_unstemmed | Strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions Dung Le |
| title_short | Strongly coupled parabolic and elliptic systems |
| title_sort | strongly coupled parabolic and elliptic systems existence and regularity of strong and weak solutions |
| title_sub | existence and regularity of strong and weak solutions |
| topic | Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Gekoppeltes System (DE-588)4414616-4 gnd |
| topic_facet | Reaktions-Diffusionsgleichung Gekoppeltes System |
| url | http://d-nb.info/1162289279/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030840039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005530011 |
| work_keys_str_mv | AT ledung stronglycoupledparabolicandellipticsystemsexistenceandregularityofstrongandweaksolutions |
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