Partial Differential Equations II
Partial Differential Equations II
副标题: Qualitative Studies of Linear Equations (Applied Mathematical Sciences, Volume 116)
ISBN: 9780387946511
出版社: Springer
出版年: 1997-05-22
页数: 577
定价: USD 99.00
装帧: Hardcover
内容简介
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.