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

H. Ishii, Kazuo Kobayashi

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4 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)909-920
Number of pages12
JournalDifferential and Integral Equations
Issue number3-4
Publication statusPublished - 1994
Externally publishedYes


ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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