Michael E. Taylor - Partial Differential Equations II: Qualitative Studies of Linear Equations

Description

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.

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1. Ebooks list page : 3280
2. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations
3. Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
4. Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
5. Recent Topics in Non-Linear Partial Differential Equations
6. Differential Equations: Linear, Nonlinear, Ordinary, Partial
7. Differential Equations: Linear, Nonlinear, Ordinary, Partial
8. Recent Topics in Non-Linear Partial Differential Equations
9. Linear Partial Differential Equations for Scientists and Engineers
10. Locally Convex Spaces and Linear Partial Differential Equations
11. Handbook of Linear Partial Differential Equations for Engineers and Scientists
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