
Accession Number : AD0635099
Title : THE NONINVARIANCE OF HYPERBOLICITY IN PARTIAL DIFFERENTIAL EQUATIONS.
Descriptive Note : Technical rept.
Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
Personal Author(s) : Johnson, H. H.
Report Date : JUN 1966
Pagination or Media Count : 22
Abstract : Hyperbolicity is shown to be not an absolute invariant in the sense defined in. Specifically, an example of a nonhyperbolic system is given with a partial prolongation which is hyperbolic. A large class of systems is found which is closed under modified absolute equivalence and which contains all hyperbolic systems. These ideas are applied to give existence theorems for the initial value problem in several types of nonhyperbolic systems. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, THEORY)
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE