Qualitative studies of linear equations
著者
書誌事項
Qualitative studies of linear equations
（Applied mathematical sciences, v. 116 . Partial differential equations / Michael E. Taylor ; 2）
Springer, [2012?], c2010
2nd ed
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注記
Includes bibliographical references and index
"Softcover reprint of the hardcover 2nd edition 2010"--T.p. verso
内容説明・目次
内容説明
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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