Partial Differential Equations: Qualitative Studies of Linear Equations: Bk. 2

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Partial Differential Equations: Qualitative Studies of Linear Equations: Bk. 2

2010 | Science & Mathematics

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.



Published by Springer-Verlag New York Inc.

Edition Unknown
ISBN 9781441970510
Language N/A

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