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arXiv:1303.3219 [math.AP]AbstractReferencesReviewsResources

Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method

Qiaoling Wei

Published 2013-03-13, updated 2013-10-31Version 2

For non convex Hamiltonians, the viscosity solution and the more geometric minimax solution of the Hamilton-Jacobi equation do not coincide in general. They are nevertheless related: we show that iterating the minimax procedure during shorter and shorter time intervals one recovers the viscosity solution.

Comments: 27 pages
Journal: Nonlinearity 27 (2014) 17-42
Categories: math.AP, math.DS, math.SG
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