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

H. Ishii; Kazuo Kobayashi

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

H. Ishii, Kazuo Kobayashi

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	909-920
Number of pages	12
Journal	Differential and Integral Equations
Volume	7
Issue number	3-4
Publication status	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition",

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.",

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year = "1994",

language = "English",

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JF - Differential and Integral Equations

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ER -

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

Abstract

ASJC Scopus subject areas

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