03726nam a2200373 a 450000500170000000600190001700700150003600800410005102000330009202000360012502000150016102000180017602000260019404000310022008200120025110000750026324500760033825000210041426000360043526000100047126000100048130000470049133600270053833700280056533800390059349000410063250400530067350508500072652013910157653300680296765000390303585200310307485602470310520260701202232.0m d cr cnu---uuuuu121212s2013 nyu s 000 0 eng d a1461448093q(electronic bk.) a9781461448099q(electronic bk.) a1461448085 a9781461448082 a9781461448082q(hbk.) aCO-CtgCURNbspaccoctgcurn04a515.3531 aJost, Jürgen,d1956-7http://id.loc.gov/authorities/names/n84002151.10aPartial differential equationsh[electronic resource] /cJürgen Jost. aTercera edicion. aNew York : :bSpringer,,c2013. c2013. 1c2013. a1 recurso en línea (xiii, 410 páginas) atextobtxt2rdacontent acomputadorbc2rdamedia arecurso en líneabcr2rdacarrier1 aGraduate texts in mathematics ;v214 aIncluye referencias bibliográficas e índice.00tIntroduction: 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. 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. aElectronic resource.bDordrecht :cSpringer Netherlands,d2015. 0aEcuaciones diferenciales, parcial. aMHCbMHCcCFh515.353iJ847 uhttps://unicurn.sharepoint.com/:b:/s/biblioteca/Eap76frwFuFDiLugii-0fuwBMYO6S3y57QNpF094g-joYA?e=6Convhz

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