Partial Differential Equations, II: Qualitative Studies of Linear Equations. (Applied Mathematical Sciences, 116).

Taylor, Michael,

ISBN 10: 0387946519 / ISBN 13: 9780387946511

Published by Springer, 1996

About this Item

550 p. Ex-Library book in good condition. 9780387946511 Sprache: Englisch Gewicht in Gramm: 1050.

Seller Inventory # 1398272

Bibliographic Details

• Title: Partial Differential Equations, II: Qualitative Studies of Linear Equations. (Applied Mathematical Sciences, 116).
• Publisher: Springer
• Publication Date: 1996
• Language: English
• ISBN 10: 0387946519
• ISBN 13: 9780387946511
• Binding: Hardcover
• Weight: 1050 grams
• Seller catalogs:
  • ZG Technik

About this title

Synopsis

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.

From the Back Cover

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.