The exceptional condition and unboundedness of solutions of hyperbolic systems of conservation type

DOI10.1017/S0308210500017996zbMath0357.35056MaRDI QIDQ4129837

Alan Jeffrey

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Cites Work

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• Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Breakdown of the solution to a completely exceptional system of hyperbolic equations
• Blow-up theorems for nonlinear wave equations
• Hyperbolic systems of conservation laws II
• On solutions of nonlinear wave equations
• Formation of singularities in one-dimensional nonlinear wave propagation

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