Partial Differential Equations: Topics in Fourier Analysis - M.W. Wong - 書籍 - Taylor & Francis Inc - 9781466584013 - 2013年6月3日
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M.W. Wong
Partial Differential Equations: Topics in Fourier Analysis 第1 版

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Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis.

Using Fourier analysis, the text constructs explicit formulas for solving PDEs governed by canonical operators related to the Laplacian on the Euclidean space. After presenting background material, it focuses on:

Second-order equations governed by the Laplacian on Rn The Hermite operator and corresponding equation The sub-Laplacian on the Heisenberg group

Designed for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the PDE course for graduate students in mathematics who are pursuing a research career in analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis, rather than a bunch of isolated ad-hoc techniques.

184 pages, 5 black & white illustrations

メディア 書籍     Hardcover Book   (ハードカバー付きの本)
リリース済み 2013年6月3日
ISBN13 9781466584013
出版社 Taylor & Francis Inc
ページ数 184
寸法 174 × 246 × 16 mm   ·   452 g
言語 英語  

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