Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients
نویسندگان
چکیده
Solutions of the Hamilton-Jacobi equation H(x,−Du(x)) = 1, with H(·, p) Hölder continuous and H(x, ·) convex and positively homogeneous of degree 1, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof is the C-regularity of the extremal trajectories associated with the multifunction generated by DpH .
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ورودعنوان ژورنال:
- CoRR
دوره abs/1103.4454 شماره
صفحات -
تاریخ انتشار 2011