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 |
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ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
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, 7(3-4), 909-920.