Partial Differential Equations
Qualitative Studies of Linear Equations
Seiten
1996
|
2nd 1996. Corr. 2nd Printing ed.
Springer-Verlag New York Inc.
978-0-387-94651-1 (ISBN)
Springer-Verlag New York Inc.
978-0-387-94651-1 (ISBN)
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Builds upon the basic theory of linear Partial Differential Equations (PDE). This title introduces analytical tools that include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. It develops basic differential geometrical concepts, centred about curvature.
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.
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.
Contents: Contents of Volumes I and III.- Introduction.- Pseudodifferential Operators.- Spectral Theory.- Scattering by Obstacles.- Dirac Operators and Index Theory.- Brownian Motion and Potential Theory.- The Partial-Neumann Problem.- Connections and Curvature.- Index.
| Erscheint lt. Verlag | 1.7.1997 |
|---|---|
| Reihe/Serie | Applied Mathematical Sciences ; v.116 |
| Zusatzinfo | 1, black & white illustrations |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 234 x 156 mm |
| Gewicht | 2100 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 0-387-94651-9 / 0387946519 |
| ISBN-13 | 978-0-387-94651-1 / 9780387946511 |
| Zustand | Neuware |
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