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Title
Partial differential equations / Emmanuele DiBenedetto, Ugo Gianazza.
Edition
Third edition.
ISBN
9783031466182 (electronic bk.)
3031466187 (electronic bk.)
9783031466175
Published
Cham : Birkhäuser, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xxx, 748 pages) : illustrations.
Item Number
10.1007/978-3-031-46618-2 doi
Call Number
QA377 .D53 2023
Dewey Decimal Classification
515/.35
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 23, 2023).
Series
Cornerstones (Birkhäuser Verlag) 2197-1838
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.
