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Preprints, Working Papers, ... Year : 2023

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

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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hal-04062783 , version 1 (07-04-2023)

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Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla. Initial Data Identification in Space Dependent Conservation Laws and Hamilton-Jacobi Equations. 2023. ⟨hal-04062783⟩
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