Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations
Analysis of PDEs
2023-04-12 v1
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.
Cite
@article{arxiv.2304.05092,
title = {Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations},
author = {Rinaldo M. Colombo and Vincent Perrollaz and Abraham Sylla},
journal= {arXiv preprint arXiv:2304.05092},
year = {2023}
}