SU\G(𝔸)/K·U

Global solutions of certain hyperbolic systems of quasi-linear equations

J. L. Johnson, Joel Smoller

Type: Article

Publication Date: 1967-01-01

Citations: 3

DOI: https://doi.org/10.1090/s0002-9904-1967-11816-0

Abstract

We consider systems of the form (1)Here u and v are functions of / and x, / ^ 0, -*> <# < oo, and ƒ and g are C 2 functions of a single real variable.We assume that the system (1) is hyperbolic and genuinely nonlinear in the sense of Lax [4].

Locations

  • Project Euclid (Cornell University) - View - PDF
  • Bulletin of the American Mathematical Society - View - PDF

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Works That Cite This (3)

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+ PDF Chat Perturbation of two elementary waves with interaction 1997 Hongxia Liu
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+ PDF Chat Global solutions of hyperbolic systems of conservation laws in two dependent variables 1968 J. L. Johnson
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+ PDF Chat Global solutions for an extended class of hyperbolic systems of conservation laws 1969 Joel Smoller
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Works Cited by This (4)

Action Title Year Authors
+ Hyperbolic systems of conservation laws II 1957 Peter D. Lax
+ Solutions in the large for nonlinear hyperbolic systems of equations 1965 James Glimm
+ PDF Chat Decay of solutions of systems of hyperbolic conservation laws 1967 James Glimm
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+ Sulle funzioni a variazione limitata 1936 Lamberto Cesari