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[null,"1.","Record Nr.",null,"UNINA9910754097003321"]
[null,null,"Autore",null,"DiBenedetto Emmanuele"]
[null,null,"Titolo",null,"Partial Differential Equations / / by Emmanuele DiBenedetto, Ugo Gianazza"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023"]
[null,null,"ISBN",null,"3-031-46618-7"]
[null,null,"Edizione",null,"[3rd ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (768 pages)"]
[null,null,"Collana",null,"Cornerstones, , 2197-1838"]
[null,null,"Disciplina",null,"515.35"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Difference equations"]
[{"$nulls":4},"Functional equations"]
[{"$nulls":4},"Integral equations"]
[{"$nulls":4},"Mathematical models"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"Difference and Functional Equations"]
[{"$nulls":4},"Integral Equations"]
[{"$nulls":4},"Mathematical Modeling and Industrial Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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 "]
[{"$nulls":4},"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 alsoserve as a useful tool for more experienced readers who are looking for a comprehensive reference."]