On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition

Hitoshi Ishii, Kazuo Kobayasi

Type: Article

Publication Date: 1994-01-01

Citations: 11

DOI: https://doi.org/10.57262/die/1370267713

Abstract

Uniqueness and existence theorems are established under the Osgood type condition for viscosity solutions of the Cauchy problem for fully nonlinear degenerate parabolic partial differential equations of second order.The theorems improve the generality and applicability of standard uniqueness and existence results in the theory of viscosity solutions.

Locations

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