C1,α Regularity of Viscosity Solutions of Fully Nonlinear Parabolic PDE Under Natural Structure Conditions

Authors

  • Ge Han

Keywords:

Fully nonlinear parabolic equations;C^{1;\alpha} regularity;viscosity solulions

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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Published

1999-12-01

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Issue

Vol. 12 No. 1 (1999)

Section

Articles

How to Cite

C1,α Regularity of Viscosity Solutions of Fully Nonlinear Parabolic PDE Under Natural Structure Conditions. (1999). Journal of Partial Differential Equations, 12(1), 1-10. https://www.global-sci.com/index.php/jpde/article/view/3897