Articoli correlati a Nonlinear Elliptic Partial Differential Equations:...

Nonlinear Elliptic Partial Differential Equations: An Introduction - Brossura

Libro 218 di 261: Universitext

Le Dret, Hervé

 
9783319783895: Nonlinear Elliptic Partial Differential Equations: An Introduction
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ISBN 10: 3319783890 ISBN 13: 9783319783895
Casa editrice: Springer, 2018

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Informazioni sull'autore

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.

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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.

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Editore
Springer
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
3319783890
ISBN 13 
9783319783895
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
264
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