TY  - DATA
AU  - Taylor,Michael E.
TI  - Partial Differential Equations II: Qualitative Studies of Linear Equations 
T2  - Applied Mathematical Sciences
SN  - 9781441970510
AV  - QA374  .T3797 2011
PY  - 2011///
CY  - New York, NY
PB  - Springer Science+Business Media, LLC
KW  - Differential equations, Partial
KW  - Mathematics
KW  - fast
KW  - Differential equations, partial
KW  - Partielle Differentialgleichung
KW  - Lineare Gleichung
N2  - 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
ER  -