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arXiv · 2304.05092

Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations

Rinaldo M. Colombo·Vincent Perrollaz·Abraham Sylla
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Abstract

Consider a Conservation Law and a Hamilton-Jacobi equation with a ux/Hamiltonian depending also on the space variable. We characterize rst the attainable set of the two equations and, second, the set of initial data evolving at a prescribed time into a prescribed prole. An explicit example then shows the deep dierences between the cases of x-independent and x-dependent uxes/Hamiltonians.

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Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla. 2023-04-11. Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations. https://arxiv.org/abs/2304.05092

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