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

分析
応用数学

他のファイルとリンク

引用スタイル

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

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.",

author = "Isamu Fukuda and Hitoshi Ishii and Masayoshi Tsutsumi",

year = "1993",

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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.

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EP - 1252

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 6

ER -

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

抄録

ASJC Scopus subject areas

他のファイルとリンク

フィンガープリント

引用スタイル

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