Partial Differential Equations by M.A. Shubin & IU.V.Egorov & IU.V. Egorov

Partial Differential Equations Contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. This work offers various advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method.

This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. The basic notions and theorems are first reviewed and followed by a comprehensive presentation of a variety of advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method, to name a few. Special attention is devoted to the spectral properties of Schrodinger and Dirac operators and of other operators as well. In addition, a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum" is included.
Author(s) : Format : Hardback Book
ISBN-10 : 3540546774 ISBN-13 : 9783540546771
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Product Details:

Series Title : Encyclopaedia of Mathematical Sciences

Country Publication : Germany

Publication Date : 01/12/1994

Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Page Length : V, 272mm

Page Size : 216mm