000			04329cam a2200685Mi 4500
001			on1013947651
003			OCoLC
005			20220517104522.0
006			m d
007			cr |||||||||||
008			170517s2017 gw ob 000 0 eng d
010			_a 2017300123
040			_aDEGRU _beng _erda _epn _cDEGRU _dYDX _dVT2 _dWYU _dOCLCQ _dOCLCF _dHS0 _dUAB _dN$T
019			_a1000272553 _a1084343501 _a1224921823 _a1235831767 _a1253414490
020			_a3110550881
020			_a9783110550856 _q(hbk.)
020			_a3110550857 _q(hbk.)
020			_a9783110550887 _q(electronic bk.)
024	7		_a10.1515/9783110550887 _2doi
035			_a2945153 _b(N$T)
035			_a(OCoLC)1013947651 _z(OCoLC)1000272553 _z(OCoLC)1084343501 _z(OCoLC)1224921823 _z(OCoLC)1235831767 _z(OCoLC)1253414490
050		4	_aInternet Access _bAEU
072		7	_aMAT000000 _2bisacsh
072		7	_aMAT012000 _2bisacsh
072		7	_aMAT042000 _2bisacsh
082	0	4	_a100 _223
049			_aMAIN
100	1		_aHenrot, Antoine, _eauthor _937734
245	1	0	_aShape optimization and spectral theory / _cAntoine Henrot.
264		1	_aWarsaw ; _aBerlin : _bDe Gruyter Open, _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 -- _t2 Existence results -- _t3 Regularity of optimal spectral domains -- _t4 The Robin problem -- _t5 Spectral geometry of the Steklov problem -- _t6 Triangles and Other Special Domains -- _t7 Spectral inequalities in quantitative form -- _t8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian -- _t9 Spectral optimization problems for Schrödinger operators -- _t10 Nodal and spectral minimal partitions -- The state of the art in 2016 -- -- _t11 Numerical results for extremal problem for eigenvalues of the Laplacian -- _tBibliography -- _tIndex
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.
546			_aIn English.
588	0		_aOnline resource; title from PDF title page (publisher's Web site, viewed May. 17, 2017).
504			_aIncludes bibliographical references (pages 413-461) and index.
590			_aAdded to collection customer.56279.3
650		0	_aGeometry, Algebraic. _937735
650		0	_aMathematical optimization. _91638
650		0	_aShapes. _937736
650		7	_aMATHEMATICS / Optimization. _2bisacsh _94868
650		7	_aGeometry, Algebraic. _2fast _0(OCoLC)fst00940902 _937735
650		7	_aMathematical optimization. _2fast _0(OCoLC)fst01012099 _91638
650		7	_aShapes. _2fast _0(OCoLC)fst01115245 _937736
655		4	_aElectronic books.
776	0	8	_iPrint version: _z9783110551181
776	0	8	_iPrint version: _z9783110550856
856	4	0	_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2945153
938			_aDe Gruyter _bDEGR _n9783110550887
938			_aYBP Library Services _bYANK _n14743737
938			_aEBSCOhost _bEBSC _n2945153
942			_cEBK
994			_a92 _bN$T
999			_c6580 _d6580