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.
發表於2024-11-22
Partial Differential Equations II 2024 pdf epub mobi 電子書 下載
圖書標籤: PDE 數學
Partial Differential Equations II 2024 pdf epub mobi 電子書 下載