On an inverse problem for scalar conservation laws
classification
🧮 math.AP
keywords
conservationproblemscalarcauchydatadeterminedottfunction
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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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