Article Contents
Article Contents

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations

• We study Hamilton-Jacobi 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).
Mathematics Subject Classification: 35F25(primary), 49L25.

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