002: Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences)

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9780387946511: 002: Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences)

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.

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THIS TEXT PROVIDES AN INTRODUCTION TO THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS. IT INTRODUCES BASIC EXAMPLES OF PARTIAL DIFFERENTIAL EQUATIONS, ARISING IN CONTINUUM MECHANICS, ELECTROMAGNETISM, COMPLEX ANALYSIS AND OTHER Areas, AND DEVELOPS A NUMBER OF TOOLS FOR THEIR SOLUTION, INCLUDING PARTICULARLY FOURIER ANALYSIS, DISTRIBUTION THEORY, AND Sobolev SPACES.

About the Author:

Taylor, Reader in Government, University of Essex.

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Michael E. Taylor
Published by Springer 1996-06-25 (1996)
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