Strong traces for solutions of 2× 2 nonlinear hyperbolic systems
Abstract
In this paper we show that bounded entropy solutions of genuinely nonlinear 2× 2 systems of hyperbolic conservation laws admit a strong trace on Lipschitz curves. The main argument relies on a new half-space Liouville-type theorem for isentropic solutions with constant normal traces, providing the first extension to general genuinely nonlinear systems of the strong trace properties available for scalar conservation laws.
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