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Partial differential equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Partial differential equations/ by Emmanuele DiBenedetto, Ugo Gianazza.
Author:	DiBenedetto, Emmanuele.
other author:	Gianazza, Ugo.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxx, 748 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Differential equations, Partial. -
Online resource:	https://doi.org/10.1007/978-3-031-46618-2
ISBN:	9783031466182

Partial differential equations
DiBenedetto, Emmanuele.

Partial differential equations[electronic resource] /by Emmanuele DiBenedetto, Ugo Gianazza. - Third edition. - Cham :Springer International Publishing :2023. - xxx, 748 p. :ill., digital ;24 cm. - Cornerstones,2197-1838. - Cornerstones..

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.

ISBN: 9783031466182

Standard No.: 10.1007/978-3-031-46618-2doiSubjects--Topical Terms:

527784
Differential equations, Partial.

LC Class. No.: QA377 / .D53 2023

Dewey Class. No.: 515.35

Partial differential equations
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490 1 $a Cornerstones, $x 2197-1838
505 0 $a 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.
520 $a 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.
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650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Difference and Functional Equations. $3 672077
650 2 4 $a Integral Equations. $3 672359
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
700 1 $a Gianazza, Ugo. $3 888917
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