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Nonlinear Elliptic Partial Differential Equations

Nonlinear Elliptic Partial Differential Equations : An Introduction. 1st ed. 2018.

・ISBN 978-3-319-78389-5 paper EUR 64.99

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お気に入り
著者・編者Le Dret, Herve,
シリーズUniversitext
出版社(Springer International Publishing AG, SZ)
出版年月2018
ページ数253 pp.
言語ENG
ニュース番号<M25-3031>

解説

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.