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Partial differential equations. II, Qualitative studies of linear equations [electronic resource]
- 作者: Taylor, Michael E.
- 其他作者:
- 出版: New York, NY : Springer Science+Business Media, LLC
- 版本:2nd ed.
- 叢書名: Applied mathematical sciencesv.116
- 主題: Differential equations, Partial , Mathematics , Partial Differential Equations.
- ISBN: 9781441970527 (electronic bk.) 、 9781441970510 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
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讀者標籤:
- 系統號: 005068356 | 機讀編目格式
館藏資訊
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
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