Partial Differential Equations II
Qualitative Studies of Linear Equations
Seiten
2012
|
Softcover reprint of hardcover 2nd ed. 2011
Springer-Verlag New York Inc.
978-1-4614-2742-1 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-2742-1 (ISBN)
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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. 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.
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.
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
| Reihe/Serie | Applied Mathematical Sciences ; 116 |
|---|---|
| Zusatzinfo | XXII, 614 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Brownian motion • Potential Theory • pseudodifferential operators • Scattering by Obstacles • spectral theory |
| ISBN-10 | 1-4614-2742-8 / 1461427428 |
| ISBN-13 | 978-1-4614-2742-1 / 9781461427421 |
| Zustand | Neuware |
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