000			04623nam a22004575i 4500
001			978-0-387-49319-0
003			DE-He213
005			20260521091923.0
007			cr nn 008mamaa
008			100429s2007 xxu| s |||| 0|eng d
020			_a9780387493190
020			_a99780387493190
024	7		_a10.1007/978-0-387-49319-0 _2doi
040			_cCICY
082	0	4	_a515.353 _223
100	1		_aJost, Jürgen. _eauthor.
245	1	0	_aPartial Differential Equations _h[recurso electrónico] / _cby Jürgen Jost.
250			_aSecond Edition.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXIII, 356 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v214
505	0		_aIntroduction: What Are Partial Differential Equations? -- The Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order -- The Maximum Principle -- Existence Techniques I: Methods Based on the Maximum Principle -- Existence Techniques II: Parabolic Methods. The Heat Equation -- Reaction-Diffusion Equations and Systems -- The Wave Equation and its Connections with the Laplace and Heat Equations -- The Heat Equation, Semigroups, and Brownian Motion -- The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) -- Sobolev Spaces and L2 Regularity Theory -- Strong Solutions -- The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) -- The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash.
520			_aThis book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations. For the new edition the author has added a new chapter on reaction-diffusion equations and systems. There is also new material on Neumann boundary value problems, Poincaré inequalities, expansions, as well as a new proof of the Hölder regularity of solutions of the Poisson equation. Jürgen Jost is Co-Director of the Max Planck Institute for Mathematics in the Sciences and Professor of Mathematics at the University of Leipzig. He is the author of a number of Springer books, including Dynamical Systems (2005), Postmodern Analysis (3rd ed. 2005, also translated into Japanese), Compact Riemann Surfaces (3rd ed. 2006) and Riemannian Geometry and Geometric Analysis (4th ed., 2005). The present book is an expanded translation of the original German version, Partielle Differentialgleichungen (1998). About the first edition: Because of the nice global presentation, I recommend this book to students and young researchers who need the now classical properties of these second-order partial differential equations. Teachers will also find in this textbook the basis of an introductory course on second-order partial differential equations. - Alain Brillard, Mathematical Reviews Beautifully written and superbly well-organised, I strongly recommend this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of mathematics. - Nick Lord, The Mathematical Gazette
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aTHEORETICAL, MATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aNUMERICAL AND COMPUTATIONAL PHYSICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387493183
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v214
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-49319-0 _zVer el texto completo en las instalaciones del CICY
942			_2ddc _cER
999			_c33772 _d33772