ENGLISH

Partial Differential Equations

By Emmanuele Dibenedetto , Ugo Gianazza

Book information

Publisher
Birkhäuser
Year
2023
ISBN
9783031466175, 9783031466182
DOI
10.1007/978-3-031-46618-2
Language
english
Format
PDF
Filesize
10 MB (10370305 bytes)
Series
Cornerstones
Edition
3
Pages
784\768
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2023-10-22 10:08:14
Boundary value problemsDeGiorgi classesGreen's TheoremHeat equationIntegral EquationsLaplace equationLinear elliptic equationsLinear parabolic equationsNavier-Stokes equationsParabolic DeGiorgi classesPartial Differential EquationsQuasi-Linear EquationsWave equation

Description

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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