Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences)
| Author | : | |
| Rating | : | 4.26 (613 Votes) |
| Asin | : | 1441970517 |
| Format Type | : | paperback |
| Number of Pages | : | 614 Pages |
| Publish Date | : | 2015-10-13 |
| Language | : | English |
DESCRIPTION:
From the reviews of the second edition:“This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. … Graduate students … will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. … an excellent text for all devotees of the charmin
Modern approach to important topics of mathematical physics. Bernardo Vargas This second volume focuses on several interesting problems arising from mathematical physiscs, making a perfect connection between the purely theoretical digression and the sources from which it originated.The contents are: Pseudodifferential operators; spectral theory; scattering by obstacles; Dirac operators and index theory; Brownian motion and potential theory; the "D"-bar Neumann problem. Appendix: Connections and curvature.Useful for mathematics and physics advanced undergraduat
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.. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. 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
. Taylor is a Professor at University of North Carolina in the Department of Mathematics. Michael E