Nonlinear elliptic partial differential
β Le Dret, HervΓ©
π Library
π
2018
π Springer. copyright 2018
π English
β¦ LIBER β¦
π
Nonlinear Elliptic Partial Differential Equations: An Introduction
β Scribed by HervΓ© Le Dret
- Publisher
- Springer
- Year
- 2018
- Tongue
- English
- Leaves
- 259
- Series
- Universitext
- Edition
- 1st ed. 2018
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Subjects
Differential Equations;Applied;Mathematics;Science & Math;Calculus;Pure Mathematics;Mathematics;Science & Math;Functional Analysis;Pure Mathematics;Mathematics;Science & Math
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π Library
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π Wiley-Interscience
π English
Praise for the First Edition: <p>"This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds."<br /> βSIAM Review</p> <p>A practical introduction to nonlinear P