Universitext: An Introduction

Le Dret, Hervé

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.

Details

Published by: Springer

Publication Date: 2018-06-05

Format: Paperback

ISBN-13: 9783319783895

DOI: 10.1007/978-3-319-78390-1

Dimensions: 235cm x155cm

Pages: 253