Abstract
This paper introduces a new representation formula for viscosity solutions of nonconvex Hamilton–Jacobi PDE using “generalized envelopes” of affine solutions. We study as well envelope and singular characteristic constructions of equivocal surfaces and discuss also differential game theoretic interpretations.
In memory of Arik A. Melikyan.
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Acknowledgments
My thanks to L. Pachter for giving me a copy of Lewin’s book, to C. Smart for helping with MATLAB, and to M. Bardi and P. Soravia for explaining some fine points of game theory to me.
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Communicated by L. Ambrosio.
Supported in part by NSF Grant DMS-1001724.