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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aPartial Differential Equations$b[electronic resource] /$fby Emmanuele DiBenedetto, Ugo Gianazza
205   $a3rd ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023.
215   $a1 online resource (768 pages)
225 1 $aCornerstones,$x2197-1838
311 08$aPrint version: DiBenedetto, Emmanuele Partial Differential Equations Cham : Springer International Publishing AG,c2023 9783031466175 
320   $aIncludes bibliographical references and index.
327   $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 -- Linear Elliptic Equations with Measurable Coefficients -- Elliptic De Giorgi Classes -- Navier-Stokes Equations -- Quasi-Linear Hyperbolic First Order Systems -- Non-Linear Equations of the First Order.
330   $aThis graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The ?Problems and Complements? sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students. Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.
410  0$aCornerstones,$x2197-1838
606   $aDifferential equations
606   $aFunctional analysis
606   $aDifference equations
606   $aFunctional equations
606   $aIntegral equations
606   $aMathematical models
606   $aDifferential Equations
606   $aFunctional Analysis
606   $aDifference and Functional Equations
606   $aIntegral Equations
606   $aMathematical Modeling and Industrial Mathematics
615  0$aDifferential equations.
615  0$aFunctional analysis.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aIntegral equations.
615  0$aMathematical models.
615 14$aDifferential Equations.
615 24$aFunctional Analysis.
615 24$aDifference and Functional Equations.
615 24$aIntegral Equations.
615 24$aMathematical Modeling and Industrial Mathematics.
676   $a515.35
700   $aDiBenedetto$b Emmanuele$041034
702   $aGianazza$b Ugo
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910754097003321
996   $aPartial Differential Equations$9347896
997   $aUNINA