Relaxation of Hamilton-Jacobi Equations

Hitoshi Ishii; Paola Loreti

doi:10.1007/s00205-003-0268-3

Relaxation of Hamilton-Jacobi Equations

Hitoshi Ishii^*, Paola Loreti

^*この研究の対応する著者

研究成果: Article › 査読

4 被引用数 (Scopus)

抄録

We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the following phenomenon: the pointwise supremum over a certain collection of subsolutions, in the almost everywhere sense, of a Hamilton-Jacobi equation yields a viscosity solution of the "convexified" Hamilton-Jacobi equation. This phenomenon has recently been observed in [13] in eikonal equations. We show in this paper that this relaxation is a common phenomenon for a wide range of Hamilton-Jacobi equations.

本文言語	English
ページ（範囲）	265-304
ページ数	40
ジャーナル	Archive for Rational Mechanics and Analysis
巻	169
号	4
DOI	https://doi.org/10.1007/s00205-003-0268-3
出版ステータス	Published - 2003 10月

ASJC Scopus subject areas

材料力学
計算力学
数学 (全般)
数学（その他）

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10.1007/s00205-003-0268-3

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引用スタイル

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Relaxation of Hamilton-Jacobi Equations

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