000			03827nam a22005295i 4500
001			978-0-8176-4403-1
003			DE-He213
005			20251006084433.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644031
020			_a99780817644031
024	7		_a10.1007/b137163 _2doi
082	0	4	_a515.64 _223
100	1		_aBucur, Dorin. _eauthor.
245	1	0	_aVariational Methods in Shape Optimization Problems _h[electronic resource] / _cby Dorin Bucur, Giuseppe Buttazzo.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aVIII, 216 p. 19 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Nonlinear Differential Equations and Their Applications ; _v65
505	0		_ato Shape Optimization Theory and Some Classical Problems -- Optimization Problems over Classes of Convex Domains -- Optimal Control Problems: A General Scheme -- Shape Optimization Problems with Dirichlet Condition on the Free Boundary -- Existence of Classical Solutions -- Optimization Problems for Functions of Eigenvalues -- Shape Optimization Problems with Neumann Condition on the Free Boundary.
520			_aThe study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Key topics and features: * Presents foundational introduction to shape optimization theory * Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains * Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions * Studies optimization problems for obstacles and eigenvalues of elliptic operators * Poses several open problems for further research * Substantial bibliography and index Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL EQUATIONS.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL OPTIMIZATION.
650	1	4	_aMATHEMATICS.
650	2	4	_aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
650	2	4	_aOPTIMIZATION.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aDIFFERENCE AND FUNCTIONAL EQUATIONS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
700	1		_aButtazzo, Giuseppe. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643591
830		0	_aProgress in Nonlinear Differential Equations and Their Applications ; _v65
856	4	0	_uhttp://dx.doi.org/10.1007/b137163 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59608 _d59608