The hyperbolic Cauchy problem
Author(s)
Bibliographic Information
The hyperbolic Cauchy problem
(Lecture notes in mathematics, 1505 . Scuola normale superiore,
Springer-Verlag, c1991
- : gw
- : us
Available at 87 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Bibliographical references: p. 166-167
Includes index
Description and Table of Contents
Description
The approach to the Cauchy problem taken here by the authors
is based on theuse of Fourier integral operators with a
complex-valued phase function, which is a time function
chosen suitably according to the geometry of the multiple
characteristics. The correctness of the Cauchy problem in
the Gevrey classes for operators with hyperbolic principal
part is shown in the first part. In the second part, the
correctness of the Cauchy problem for effectively hyperbolic
operators is proved with a precise estimate of the loss of
derivatives. This method can be applied to other (non)
hyperbolic problems. The text is based on a course of
lectures given for graduate students but will be of interest
to researchers interested in hyperbolic partial differential
equations. In the latter part the reader is expected to be
familiar with some theory of pseudo-differential operators.
Table of Contents
Fourier integral operators with complex-valued phase function and the Cauchy problem for hyperbolic operators.- The effectively hyperbolic Cauchy problem.
by "Nielsen BookData"