Uniqueness of solutions to the cauchy problem for ut - uΔu + γ|∇u|2 = 0

Isamu Fukuda; Hitoshi Ishii; Masayoshi Tsutsumi

Uniqueness of solutions to the cauchy problem for u_t - uΔu + γ|∇u|² = 0

Isamu Fukuda, Hitoshi Ishii, Masayoshi Tsutsumi

研究成果: Article › 査読

抄録

We prove the uniqueness of weak solutions and of viscosity solutions of the Cauchy problem for u_t -uΔu+γ|∇ u|² = 0 in R^N × (0, T) in the class of semi-super harmonic functions. We also discuss the equivalence of these two notions of generalized solutions.

本文言語	English
ページ（範囲）	1231-1252
ページ数	22
ジャーナル	Differential and Integral Equations
巻	6
号	6
出版ステータス	Published - 1993
外部発表	はい

ASJC Scopus subject areas

Analysis
Applied Mathematics

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引用スタイル

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