On C1+α regularity of solutions of Isaacs parabolic equations with VMO coefficients

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Abstract

We prove that boundary value problems for fully nonlinear second-order parabolic equations admit Lp-viscosity solutions, which are in C1+α for an α ∈ (0,1). The equations have a special structure that the "main" part containing only second-order derivatives is given by a positive homogeneous function of second-order derivatives and as a function of independent variables it is measurable in the time variable and, so to speak, VMO in spatial variables.

Original languageEnglish (US)
Pages (from-to)63-85
Number of pages23
JournalNonlinear Differential Equations and Applications
Volume21
Issue number1
DOIs
StatePublished - Feb 5 2014

Keywords

  • Fully nonlinear equations
  • Hölder regularity of derivatives
  • Viscosity solutions

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