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• W1952112359 abstract "The theory of weak solutions for nonlinear conservation laws is now well developed in the case of scalar equations [3] and for one-dimensional hyperbolic systems [1, 2]. For systems in several space dimensions, however, even the global existence of solutions to the Cauchy problem remains a challenging open question. In this note we construct a conterexample showing that, even for a simple class of hyperbolic systems, in two space dimensions the Cauchy problem can be ill posed." @default.
• W1952112359 created "2016-06-24" @default.
• W1952112359 creator A5048359772 @default.
• W1952112359 date "2003-01-01" @default.
• W1952112359 modified "2023-09-25" @default.
• W1952112359 title "An ill posed Cauchy problem for a hyperbolic system in two space dimensions" @default.
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