Existence and regularity results for some shape optimization problems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Pisa
Ed. della Normale
2015
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| Schriftenreihe: | Tesi / Scuola Normale Superiore Pisa
19 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract |
| Beschreibung: | 1 Online-Ressource (XVI, 349 S.) |
| ISBN: | 9788876425271 |
| DOI: | 10.1007/978-88-7642-527-1 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153212499918848 |
|---|---|
| adam_text | EXISTENCE AND REGULARITY RESULTS FOR SOME SHAPE OPTIMIZATION PROBLEMS
/ VELICHKOV, BOZHIDAR
: 2015
ABSTRACT / INHALTSTEXT
WE STUDY THE EXISTENCE AND REGULARITY OF OPTIMAL DOMAINS FOR FUNCTIONALS
DEPENDING ON THE SPECTRUM OF THE DIRICHLET LAPLACIAN OR OFMORE GENERAL
SCHROEDINGER OPERATORS. THE DOMAINS ARE SUBJECT TO PERIMETER AND VOLUME
CONSTRAINTS; WE ALSO TAKE INTO ACCOUNT THE POSSIBLE PRESENCE OF
GEOMETRIC OBSTACLES. WE INVESTIGATE THE PROPERTIES OF THE OPTIMAL SETS
AND OF THE OPTIMAL STATE FUNCTIONS. IN PARTICULAR, WE PROVE THAT THE
EIGENFUNCTIONS ARE LIPSCHITZ CONTINUOUS UP TO THE BOUNDARY AND THAT THE
OPTIMAL SETS SUBJECT TO THE PERIMETER CONSTRAINT HAVE REGULAR FREE
BOUNDARY. WE ALSO CONSIDER SPECTRAL OPTIMIZATION PROBLEMS IN
NON-EUCLIDEAN SETTINGS AND OPTIMIZATION PROBLEMS FOR POTENTIALS AND
MEASURES, AS WELL AS MULTIPHASE AND OPTIMAL PARTITION PROBLEMS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-88-7642-527-1 |
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| language | English |
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| spelling | Velichkov, Bozhidar Verfasser aut Existence and regularity results for some shape optimization problems Bozhidar Velichkov Pisa Ed. della Normale 2015 1 Online-Ressource (XVI, 349 S.) txt rdacontent c rdamedia cr rdacarrier Tesi / Scuola Normale Superiore Pisa 19 Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik Erscheint auch als Druckausgabe 978-88-7642-526-4 Scuola Normale Superiore Pisa Tesi 19 (DE-604)BV035447349 19 https://doi.org/10.1007/978-88-7642-527-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027917201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Velichkov, Bozhidar Existence and regularity results for some shape optimization problems Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik |
| title | Existence and regularity results for some shape optimization problems |
| title_auth | Existence and regularity results for some shape optimization problems |
| title_exact_search | Existence and regularity results for some shape optimization problems |
| title_full | Existence and regularity results for some shape optimization problems Bozhidar Velichkov |
| title_fullStr | Existence and regularity results for some shape optimization problems Bozhidar Velichkov |
| title_full_unstemmed | Existence and regularity results for some shape optimization problems Bozhidar Velichkov |
| title_short | Existence and regularity results for some shape optimization problems |
| title_sort | existence and regularity results for some shape optimization problems |
| topic | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik |
| topic_facet | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik |
| url | https://doi.org/10.1007/978-88-7642-527-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027917201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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