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Documents Associated With Scientific Events Year : 2014

Propagation of singularities for semiconcave solutions of Hamilton-Jacobi equations

Abstract

Given a semiconcave solution u of an evolutionary Hamilton-Jacobi equation, we are interested in the structure of the singular set of u, i.e. the set of points of non-differentiability of u. We provide conditions on the Hamiltonian that guarantee the propagation of any singularity along the generalized characteristic starting from the point.
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Dates and versions

hal-01024745 , version 1 (18-07-2014)

Identifiers

  • HAL Id : hal-01024745 , version 1

Cite

Marco Mazzola, Piermarco Cannarsa, Carlo Sinestrari. Propagation of singularities for semiconcave solutions of Hamilton-Jacobi equations. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. ⟨hal-01024745⟩
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