C1+α-Regularity of Viscosity Solutions of General Nonlinear Parabolic Equations


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We establish the existence of C1+α-regular viscosity solutions of fully nonlinear secondorder parabolic equations like tu+H(v,Dv,D2v, t, x) = 0 allowing the main part of H to have small discontinuities with respect to x and be just measurable in t.

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N. Krylov

University of Minnesota

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Email: nkrylov@umn.edu
美国, 127 Vincent Hall, Minneapolis, 55455

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