<em>C</em><sup>1,α</sup> Regularity of Viscosity Solutions of Fully Nonlinear Parabolic PDE Under Natural Structure Conditions

<em>C</em><sup>1,α</sup> Regularity of Viscosity Solutions of Fully Nonlinear Parabolic PDE Under Natural Structure Conditions

Year:    1999

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 1 : pp. 1–10

Abstract

In this paper, we concern the fully nonlinear parabolic equations u_t + F(x, t , u, Du, D² u) = 0. Under the natural structure conditions as that in [1], we obtain the C^{1,\alpha} estimates of the viscosity solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JPDE-5520

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 1 : pp. 1–10

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Fully nonlinear parabolic equations