Right accessibility of semicontinuous initial data for HamiltonJacobi equationsPreprint Series # 605
AbstractWe study HamiltonJacobi equations with upper semicontinuous initial data without convexity assumptions on the Hamiltonian. We analyse the behavior of generalized u.s.c. solutions at the initial time t = 0, and find necessary and sufficient conditions on the Hamiltonian such that the solution attains the initial data along a sequence (right accessibility).
