
Partial Differential Equations II
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The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds.
Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC.
Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."
(Peter Lax, SIAM review, June 1998)
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Content
Preface.- 7 Pseudodifferential Operators.- 8 Spectral Theory.- 9 Scattering by Obstacles.- 10 Dirac Operators and Index Theory.- 11 Brownian Motion and Potential Theory.- 12 The ?-Neumann Problem.- C Connections and Curvature.- Index.
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