Abstract
We prove the uniqueness of weak solutions and of viscosity solutions of the Cauchy problem for ut -uΔu+γ|∇ u|2 = 0 in RN × (0, T) in the class of semi-super harmonic functions. We also discuss the equivalence of these two notions of generalized solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 1231-1252 |
| Number of pages | 22 |
| Journal | Differential and Integral Equations |
| Volume | 6 |
| Issue number | 6 |
| Publication status | Published - 1993 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Fingerprint Dive into the research topics of 'Uniqueness of solutions to the cauchy problem for u<sub>t</sub> - uΔu + γ|∇u|<sup>2</sup> = 0'. Together they form a unique fingerprint.
Cite this
Fukuda, I., Ishii, H., & Tsutsumi, M. (1993). Uniqueness of solutions to the cauchy problem for ut - uΔu + γ|∇u|2 = 0. Differential and Integral Equations, 6(6), 1231-1252.