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007			cr cnu---uuuuu
008			121212s2013 nyu s 000 0 eng d
020			_a1461448093 _q(electronic bk.)
020			_a9781461448099 _q(electronic bk.)
020			_a1461448085
020			_a9781461448082
020			_a9781461448082 _q(hbk.)
040			_aCO-CtgCURN _bspa _ccoctgcurn
082	0	4	_a515.353
100	1		_aJost, Jürgen, _d1956- _7http://id.loc.gov/authorities/names/n84002151.
245	1	0	_aPartial differential equations _h[electronic resource] / _cJürgen Jost.
250			_aTercera edicion.
260			_aNew York : : _bSpringer,, _c2013.
260			_c2013.
260		1	_c2013.
300			_a1 recurso en línea (xiii, 410 páginas)
336			_atexto _btxt _2rdacontent
337			_acomputador _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
490	1		_aGraduate texts in mathematics ; _v214
504			_aIncluye referencias bibliográficas e índice.
505	0	0	_tIntroduction: What Are Partial Differential Equations? -- _tThe Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order -- _tThe Maximum Principle -- _tExistence Techniques I: Methods Based on the Maximum Principle -- _tExistence Techniques II: Parabolic Methods. The Heat Equation -- _tReaction-Diffusion Equations and Systems -- _tHyperbolic Equations -- _tThe Heat Equation, Semigroups, and Brownian Motion -- _tRelationships Between Different Partial Differential Equations -- _tThe Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) -- _tSobolev Spaces and L2 Regularity Theory -- _tStrong Solutions -- _tThe Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) -- _tThe Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash.
520			_aThis book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations. This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions.
533			_aElectronic resource. _bDordrecht : _cSpringer Netherlands, _d2015.
650		0	_aEcuaciones diferenciales, parcial.
856	7		_uhttps://unicurn.sharepoint.com/:b:/s/biblioteca/Eap76frwFuFDiLugii-0fuwBMYO6S3y57QNpF094g-joYA?e=6Convh _z<img src="/screens/gifs/go4.gif" alt="Go button" border="0" width="21" height="21" hspace="7" align=middle"> Vea este libro electrónico
917	8	8	_tIntroduction: What Are Partial Differential Equations? -- _tThe Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order -- _tThe Maximum Principle -- _tExistence Techniques I: Methods Based on the Maximum Principle -- _tExistence Techniques II: Parabolic Methods. The Heat Equation -- _tReaction-Diffusion Equations and Systems -- _tHyperbolic Equations -- _tThe Heat Equation, Semigroups, and Brownian Motion -- _tRelationships Between Different Partial Differential Equations -- _tThe Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) -- _tSobolev Spaces and L2 Regularity Theory -- _tStrong Solutions -- _tThe Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) -- _tThe Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash
917	6	6	_aIncludes bibliographical references and index
917	9	9	_aThis book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations. This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions
942			_cCF _h515.353 _iJ84 _2ddc
999			_c7057 _d7057