Partial Differential Equations II

Qualitative Studies of Linear Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Partial Differential Equations II by Michael E. Taylor, Springer New York
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Author: Michael E. Taylor ISBN: 9781441970527
Publisher: Springer New York Publication: November 2, 2010
Imprint: Springer Language: English
Author: Michael E. Taylor
ISBN: 9781441970527
Publisher: Springer New York
Publication: November 2, 2010
Imprint: Springer
Language: English

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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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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