THE NON-INVARIANCE OF HYPERBOLICITY IN PARTIAL DIFFERENTIAL EQUATIONS.

Abstract

Hyperbolicity is shown to be not an absolute invariant in the sense defined in. Specifically, an example of a non-hyperbolic 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 non-hyperbolic systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0635099

Entities

People

  • H. H. Johnson

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Invariance
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Geotechnical Engineering.