ENGLISH

Partial Differential Equations: Qualitative Studies of Linear Equations

By Michael E. Taylor

Book information

Publisher
Springer-Verlag GmbH
Year
1996
ISBN
0387946519, 9780387946511
Language
english
Format
DJVU
Filesize
5 MB (5586510 bytes)
Series
Partial Differential Equations II
Volume
vol 2
Edition
1
Pages
310\0
Time added
2011-01-08 23:22:23

Description

This is the second of three volumes on partial differential equations. It builds upon the basic theory of linear PDE given in Volume 1, and pursues some more advanced topics in linear PDE. Analytical tools introduced in Volume 2 for these studies include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. There is also a development of basic differential geometrical concepts, centered 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. The book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

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