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A COMPARISON PRINCIPLE FOR HAMILTON-JACOBI EQUATIONS WITH DISCONTINUOUS HAMILTONIANS

By Yoshikazu Giga, Piotr Rybka and Communicated Matthew J. Gursky

Abstract

Abstract. We show a comparison principle for viscosity super- and subsolutions to Hamilton-Jacobi equations with discontinuous Hamiltonians. The key point is that the Hamiltonian depends upon u and has a special structure. The supersolution must enjoy some additional regularity. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.5325
Provided by: CiteSeerX
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