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Partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Partial differential equationsby 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$q(electronic bk.)

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$q(electronic bk.)

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

189753
Differential equations, Partial.

LC Class. No.: QA377 / .D53 2023

Dewey Class. No.: 515.35

Partial differential equations
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100 1 $a DiBenedetto, Emmanuele. $3 485894
245 1 0 $a Partial differential equations $h [electronic resource] / $c by Emmanuele DiBenedetto, Ugo Gianazza.
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2023.
300 $a xxx, 748 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Differential Equations. $3 285983
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Difference and Functional Equations. $3 274826
650 2 4 $a Integral Equations. $3 274836
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 274070
700 1 $a Gianazza, Ugo. $3 558803
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