A Comparison Principle for Hamilton-jacobi Equations with Discontinuous Hamiltonians

نویسندگان

  • YOSHIKAZU GIGA
  • Matthew J. Gursky
  • PIOTR RYBKA
چکیده

We show a comparison principle for viscosity superand 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.

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تاریخ انتشار 2010