Strong traces for solutions of $2\times 2$ nonlinear hyperbolic systems

Luca Talamini

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arXiv · 2606.23497

Strong traces for solutions of $2\times 2$ nonlinear hyperbolic systems

Luca Talamini

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Abstract

In this paper we show that bounded entropy solutions of genuinely nonlinear $2\times 2$ 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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Luca Talamini. 2026-06-22. Strong traces for solutions of $2\times 2$ nonlinear hyperbolic systems. https://arxiv.org/abs/2606.23497

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