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

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)909-920
Number of pages12
JournalDifferential and Integral Equations
Volume7
Issue number3-4
Publication statusPublished - 1994
Externally publishedYes

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Nonlinear Parabolic Equations
Fully Nonlinear
Viscosity Solutions
Existence and Uniqueness of Solutions
Viscosity
Existence and Uniqueness Theorem
Existence and Uniqueness Results
Parabolic Partial Differential Equations
Partial differential equations
Cauchy Problem
Theorem
Standards

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition. / Ishii, H.; Kobayashi, Kazuo.

In: Differential and Integral Equations, Vol. 7, No. 3-4, 1994, p. 909-920.

Research output: Contribution to journal › Article

Ishii, H & Kobayashi, K 1994, 'On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition', Differential and Integral Equations, vol. 7, no. 3-4, pp. 909-920.
Ishii H, Kobayashi K. On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition. Differential and Integral Equations. 1994;7(3-4):909-920.
Ishii, H. ; Kobayashi, Kazuo. / On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition. In: Differential and Integral Equations. 1994 ; Vol. 7, No. 3-4. pp. 909-920.
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