학술논문
On the well-posedness of the cauchy problem and the mixed problem for some class of hyperbolic systems and equations with constant coefficients and characteristics of variable multiplicity.
Document Type
Article
Author
Source
Subject
*HYPERBOLIC differential equations
*PARTIAL differential equations
*CAUCHY problem
*MULTIPLICITY (Mathematics)
*EXPONENTIAL functions
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Language
ISSN
0012-2661
Abstract
We study the well-posedness of the mixed problem for hyperbolic equations with constant coefficients and with characteristics of variable multiplicity. We single out a class of higher-order hyperbolic operators with constant coefficients and with characteristics of variable multiplicity, for which we obtain a generalization of the Sakamoto conditions for the well-posedness of the mixed problem in L 2. [ABSTRACT FROM AUTHOR]