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math.AP2023
Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characte…
math.AP2023
Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
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 a…