Viscosity solutions of Eikonal and Lie equations on compact manifolds

✍ Scribed by Philippe Delanoë

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 20 KB
• Volume: 10
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00136872

✦ Synopsis

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.