FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 85-98

**On the well-posedness of the mixed problem for hyperbolic operators
with characteristics of variable multiplicity**

P. A. Zakharchenko

E. V. Radkevich

Abstract

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The paper is devoted to the study of the well-posedness of the mixed
problem for hyperbolic equations with constant coefficients and
characteristics of variable multiplicity.
The authors distinguish a class of higher-order hyperbolic
operators with constant coefficients and characteristics of variable
multiplicity for which a generalization of the Sakamoto
$L$_{2}-well-posedness
of the mixed problem is obtained.

Location: http://mech.math.msu.su/~fpm/eng/k06/k066/k06606h.htm

Last modified: February 26, 2007