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arXiv · 1701.08390

Scalar Reduction Tchniques for Weakly Coupled Hamilton-Jacobi Systems

Antonio Siconolfi·Sahar Zabad
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Abstract

We study a class of weakly coupled systems of Hamilton{Jacobi equations at the critical level. We associate to it a family of scalar discounted equation. Using control{theoretic tech- niques we construct an algorithm which allows obtaining a critical solution to the system as limit of a monotonic sequence of subsolutions. We moreover get a characterization of isolated points of the Aubry set and establish semiconcavity properties for critical subsolutions.

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Antonio Siconolfi, Sahar Zabad. 2017-01-29. Scalar Reduction Tchniques for Weakly Coupled Hamilton-Jacobi Systems. https://arxiv.org/abs/1701.08390

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