Name: Elliptic Equations: An Introductory Course
ISBN: 978-3-031-54121-6

Overview

Authors:

Michel Chipot ⁰

Michel Chipot
1. Institut für Mathematik, University of Zürich, Zürich, Switzerland
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Second edition introduces an array of new topics and two entirely new chapters
Outlines technical issues in a step-by-step fashion
Provides a good basis on elliptic and parabolic PDEs

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)

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Keywords

Partial Differential Equations
Elliptic Equations
Navier-Stokes Equations
Sobolev Space
Large Solutions
Mountain Pass Techniques
Maximum Principle
Nonlinear Problems

About this book

The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations.

Authors and Affiliations

Institut für Mathematik, University of Zürich, Zürich, Switzerland

Michel Chipot

About the author

Michel Chipot is Professor at the Institute of Mathematics, University of Zürich, Zürich, Switzerland.

Bibliographic Information

Book Title: Elliptic Equations: An Introductory Course
Authors: Michel Chipot
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-54121-6Due: 05 April 2024
eBook ISBN: 978-3-031-54123-0Due: 05 April 2024
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 2
Number of Pages: XI, 401
Number of Illustrations: 34 b/w illustrations

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Elliptic Equations: An Introductory Course