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Viscosity solutions of eikonal and Lie equations on compact manifolds

✍ Scribed by Philippe Delanoë


Publisher
Springer
Year
1989
Tongue
English
Weight
233 KB
Volume
7
Category
Article
ISSN
0232-704X

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Viscosity solutions of Eikonal and Lie e
✍ Philippe Delanoë 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 20 KB

Regarding Lie equations (Section III), Theorem 3 only should be retained since the coercivity condition (4) of Theorem 2 cannot be fulfilled on a compact manifold: indeed, integrating over M the trace of (4) in the metric h yields 0 > ch which is absurd.