Holdings: Existence and regularity results for some shape optimization problems

Existence and regularity results for some shape optimization problems:

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Bibliographic Details
Main Author:	Velichkov, Bozhidar (Author)
Format:	Electronic eBook
Language:	English
Published:	Pisa Ed. della Normale 2015
Series:	Tesi / Scuola Normale Superiore Pisa 19
Subjects:	Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract
Physical Description:	1 Online-Ressource (XVI, 349 S.)
ISBN:	9788876425271
DOI:	10.1007/978-88-7642-527-1

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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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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
volume_link	(DE-604)BV035447349
work_keys_str_mv	AT velichkovbozhidar existenceandregularityresultsforsomeshapeoptimizationproblems

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