Persistence and stability of solutions of Hamilton–Jacobi equations
Résumé
Given a convergent sequence of Hamiltonians (Hn ) and a convergent sequence of initial data (gn ), we look for conditions ensuring that the sequences (un ) and (vn ) of Lax solutions and Hopf solutions respectively converge. The convergences we deal with are variational convergences. We take advantage of several recent results giving criteria for the continuity of usual operations.
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