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 |
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ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Uniqueness of solutions to the cauchy problem for ut - uΔu + γ|∇u|2 = 0. / Fukuda, Isamu; Ishii, Hitoshi; Tsutsumi, Masayoshi.
In: Differential and Integral Equations, Vol. 6, No. 6, 1993, p. 1231-1252.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Uniqueness of solutions to the cauchy problem for ut - uΔu + γ|∇u|2 = 0
AU - Fukuda, Isamu
AU - Ishii, Hitoshi
AU - Tsutsumi, Masayoshi
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84972529832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84972529832&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84972529832
VL - 6
SP - 1231
EP - 1252
JO - Differential and Integral Equations
JF - Differential and Integral Equations
SN - 0893-4983
IS - 6
ER -