The technique of pseudodifferential operators [EBook] / H.O. Cordes.
The technique of pseudodifferential operators [EBook] / H.O. Cordes.
Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the FourierLaplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential op...
Personal Name(s):  Cordes, H. O., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
1995

Physical Description: 
1 online resource (xii, 382 pages) 
Note: 
englisch 
ISBN: 
9780511569425 9780521378642 
Series Title: 
London Mathematical Society lecture note series ;
202 
Subject (LOC):  
Full Text 
Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the FourierLaplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Liegroup. The author discusses connections to the theory of C*algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution and the relation of the hyperbolic theory to the propagation of maximal ideals. This book will be of particular interest to researchers in partial differential equations and mathematical physics. 