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Partial Differential Equations II : Qualitative Studies of Linear Equations - Michael E. Taylor

Partial Differential Equations II

Qualitative Studies of Linear Equations

By: Michael E. Taylor

eText | 2 November 2010 | Edition Number 2

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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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Non-FictionMathematicsCalculus & Mathematical AnalysisDifferential Calculus & Equations

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Published: 21st January 2024

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