Nonlinear Elliptic Partial Differential Equations
An Introduction
Published on 7. June 2018
Book
Paperback/Softback
X, 253 pages
978-3-319-78389-5 (ISBN)
Description
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.
After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.
Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.
Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
More details
Product info
Book
Series
Edition
2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Product notice
Paperback (trade)
Unsewn / adhesive bound
Illustrations
48 s/w Abbildungen, 23 farbige Tabellen, 23 farbige Abbildungen
9 schwarz-weiße und 25 farbige Abbildungen, 23 farbige Tabellen, Bibliographie
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
406 gr
ISBN-13
978-3-319-78389-5 (9783319783895)
DOI
10.1007/978-3-319-78390-1
Schweitzer Classification
Other editions
Additional editions
E-Book
05/2018
Springer
€69.54
Available for download
Person
Hervé Le Dret is Professor of Mathematics at the Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris, France. He recently completed two consecutive five-year terms as Dean of the Faculty of Mathematics and is now back to regular teaching and research duties. His research focuses on partial differential equations in mechanics, calculus of variations and numerical analysis.
Content
1 A brief review of real and functional analysis.- 2 Fixed point theorems and applications.- 3 Superposition operators.- 4 The Galerkin method.- 5 The maximum principle, elliptic regularity, and applications.- 6 Calculus of variations and quasilinear problems.- 7 Calculus of variations and critical points.- 8 Monotone operators and variational inequalities.- References.- Index.