2024-03-29T07:02:37Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697622022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116A Comparison Principle for Hamilton-Jacobi equations with discontinuous HamiltoniansGiga, YoshikazuGorka, PrzemyslawRybka, PiotrHamilton-Jacobi equationviscosity solutionsdiscontinuous Hamiltonian410We 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 it has a special structure. The supersolution must enjoy some additional regularity.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69762info:doi/10.14943/84102https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69762/1/pre955.pdfHokkaido University Preprint Series in Mathematics955192010-02-25engpublisher