000 04194nam a22005415i 4500
001 9783110550887
003 DE-B1597
005 20200803184535.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190615s2017 pl fo d z eng d
020 _a9783110550887
024 7 _a10.1515/9783110550887
_2doi
035 _a(DE-B1597)482667
035 _a(OCoLC)1011440073
035 _a(OCoLC)1013947651
035 _a(OCoLC)987921660
035 _a(OCoLC)992501333
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _apl
_cPL
072 7 _aMAT000000
_2bisacsh
072 7 _aMAT012000
_2bisacsh
072 7 _aMAT042000
_2bisacsh
100 1 _aHenrot, Antoine,
_eauthor.
245 1 0 _aShape optimization and spectral theory /
_cAntoine Henrot.
264 1 _aWarsaw ;
_aBerlin :
_bDe Gruyter Open Poland,
_c[2017]
264 4 _c©2017
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 0 _tFrontmatter --
_tContents --
_t1 Introduction /
_rHenrot, Antoine --
_t2 Existence results /
_rBucur, Dorin --
_t3 Regularity of optimal spectral domains /
_rLamboley, Jimmy / Pierre, Michel --
_t4 The Robin problem /
_rBucur, Dorin / Freitas, Pedro / Kennedy, James --
_t5 Spectral geometry of the Steklov problem /
_rGirouard, Alexandre / Polterovich, Iosif --
_t6 Triangles and Other Special Domains /
_rLaugesen, Richard S. / Siudeja, Bartłomiej A. --
_t7 Spectral inequalities in quantitative form /
_rBrasco, Lorenzo / De Philippis, Guido --
_t8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian /
_rAshbaugh, Mark S. --
_t9 Spectral optimization problems for Schrödinger operators /
_rButtazzo, Giuseppe / Velichkov, Bozhidar --
_t10 Nodal and spectral minimal partitions - The state of the art in 2016 - /
_rBonnaillie-Noël, Virginie / Helffer, Bernard --
_t11 Numerical results for extremal problem for eigenvalues of the Laplacian /
_rAntunes, Pedro R. S. / Oudet, Edouard --
_tBibliography --
_tIndex
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _a"Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization.It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results.Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics. List of contributorsAntunes Pedro R.S., Ashbaugh Mark, Bonnaillie-Noël Virginie, Brasco Lorenzo, Bucur Dorin, Buttazzo Giuseppe, De Philippis Guido, Freitas Pedro, Girouard Alexandre, Helffer Bernard, Kennedy James, Lamboley Jimmy, Laugesen Richard S., Oudet Edouard, Pierre Michel, Polterovich Iosif, Siudeja Bartłomiej A., Velichkov Bozhidar
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
_uhttps://creativecommons.org/licenses/by-nc-nd/4.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019)
650 7 _aMATHEMATICS / Optimization.
_2bisacsh
776 0 _cEPUB
_z9783110551181
776 0 _cprint
_z9783110550856
856 4 0 _uhttps://doi.org/10.1515/9783110550887
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110550887.jpg
912 _aGBV-deGruyter-alles
912 _aZDB-23-GOA
999 _c535378
_d535376