|
Selçuk Journal
of
Applied Mathematics
Winter-Spring, 2001
Volume 2
Number 1
Research Center
of
Applied Mathematics
|
|
SJAM
Winter-Spring 2001, Volume 2 - Number 1
|
|
Solvability conditions of the Cauchy problem for the system of internal waves
|
|
Inessa
Matveeva* |
Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia;
email: matveeva@math.nsc.ru
Received: 15.02. 2000
|
|
Summary
The
author studies the Cauchy problem for a system of integrodifferential equations
describing internal waves for the Boussinesq approximation. The necessary and
sufficient conditions of solvability in weighted Sobolev spaces are
established.
|
|
Key
words
integrodifferential equations, Cauchy problem, conditions of solvability, weighted Sobolev spaces
|
|
Mathematics Subject Classification (1991):
35M05,
35Q35
*
The research was financially supported by the Russian Foundation for
Basic Research (No. 99-01-00533) and by the Ministry of general and
professional education of the Russian Federation.
|
|
Article
in PS format (138 kb) |
Article in ZIP
format (52 kb) |
|
