000			03853nam a22005415i 4500
001			978-0-8176-4552-6
003			DE-He213
005			20251006084436.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9780817645526
020			_a99780817645526
024	7		_a10.1007/978-0-8176-4552-6 _2doi
082	0	4	_a515.353 _223
100	1		_aDiBenedetto, Emmanuele. _eauthor.
245	1	0	_aPartial Differential Equations _h[electronic resource] : _bSecond Edition / _cby Emmanuele DiBenedetto.
264		1	_aBoston : _bBirkhäuser Boston, _c2010.
300			_aXX, 389p. 19 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCornerstones
505	0		_aPreliminaries -- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem -- The Laplace Equation -- Boundary Value Problems by Double-Layer Potentials -- Integral Equations and Eigenvalue Problems -- The Heat Equation -- The Wave Equation -- Quasi-Linear Equations of First-Order -- Non-Linear Equations of First-Order -- Linear Elliptic Equations with Measurable Coefficients -- DeGiorgi Classes.
520			_aThis self-contained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through Hamilton--Jacobi equations, elliptic equations with measurable coefficients and DeGiorgi classes. The exposition is complemented by examples, problems, and solutions that enhance understanding and explore related directions. Large parts of this revised second edition have been streamlined and rewritten to incorporate years of classroom feedback, correct misprints, and improve clarity. The work can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists. The newly added three last chapters, on first order non-linear PDEs (Chapter 8), quasilinear elliptic equations with measurable coefficients (Chapter 9) and DeGiorgi classes (Chapter 10), point to issues and directions at the forefront of current investigations. Reviews of the first edition: The author's intent is to present an elementary introduction to PDEs... In contrast to other elementary textbooks on PDEs . . . much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations. . . . The presentation is clear and well organized. . . . The text is complemented by numerous exercises and hints to proofs. ---Mathematical Reviews This is a well-written, self-contained, elementary introduction to linear, partial differential equations. ---Zentralblatt MATH
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL EQUATIONS.
650		0	_aFOURIER ANALYSIS.
650		0	_aINTEGRAL EQUATIONS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL OPTIMIZATION.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aFOURIER ANALYSIS.
650	2	4	_aDIFFERENCE AND FUNCTIONAL EQUATIONS.
650	2	4	_aINTEGRAL EQUATIONS.
650	2	4	_aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817645519
830		0	_aCornerstones
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4552-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59697 _d59697