Partial Differential Equations II : Qualitative Studies of Linear Equations | 2nd edition

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Fakta

Publisher	Springer Nature
Language	English
Book type	Hardcover
Utgiven	2010-11-10
Edition	2
More editions	2010/2
Pages	614
ISBN	9781441970510
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Description

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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