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arXiv · 1309.6945

On an inverse problem for scalar conservation laws

Helge Holden·Fabio Simone Priuli·Nils Henrik Risebro
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Abstract

We study in what sense one can determine the function $k=k(x)$ in the scalar hyperbolic conservation law $u_t+(k(x)f(u))_x=0$ by observing the solution $u(t,\dott)$ of the Cauchy problem with initial data $u|_{t=0}=u_o$.

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Helge Holden, Fabio Simone Priuli, Nils Henrik Risebro. 2014-03-17. On an inverse problem for scalar conservation laws. https://doi.org/10.1088/0266-5611%2F30%2F3%2F035015

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