Partial Differential Equations II

Qualitative Studies of Linear Equations
2. Auflage 2010
ISBN: 978-1-4419-7051-0
Verlag: Springer

Buch, Englisch, Band 116, 614 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2350 g

Reihe: Applied Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Taylor, Michael E.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.