03989nam 22007335 450 991075409700332120231021060437.03-031-46618-710.1007/978-3-031-46618-2(MiAaPQ)EBC30809568(Au-PeEL)EBL30809568(DE-He213)978-3-031-46618-2(PPN)272914975(MiAaPQ)EBC30806129(Au-PeEL)EBL30806129(EXLCZ)992854917230004120231021d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierPartial Differential Equations[electronic resource] /by Emmanuele DiBenedetto, Ugo Gianazza3rd ed. 2023.Cham :Springer International Publishing :Imprint: Birkhäuser,2023.1 online resource (768 pages)Cornerstones,2197-1838Print version: DiBenedetto, Emmanuele Partial Differential Equations Cham : Springer International Publishing AG,c2023 9783031466175 Includes bibliographical references and index.Preliminaries -- 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.This 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.Cornerstones,2197-1838Differential equationsFunctional analysisDifference equationsFunctional equationsIntegral equationsMathematical modelsDifferential EquationsFunctional AnalysisDifference and Functional EquationsIntegral EquationsMathematical Modeling and Industrial MathematicsDifferential equations.Functional analysis.Difference equations.Functional equations.Integral equations.Mathematical models.Differential Equations.Functional Analysis.Difference and Functional Equations.Integral Equations.Mathematical Modeling and Industrial Mathematics.515.35DiBenedetto Emmanuele41034Gianazza UgoMiAaPQMiAaPQMiAaPQBOOK9910754097003321Partial Differential Equations347896UNINA