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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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https://hal.inria.fr/hal-01024745
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Submitted on : Friday, July 18, 2014 - 2:06:23 PM
Last modification on : Sunday, June 26, 2022 - 5:33:00 AM
Long-term archiving on: : Monday, November 24, 2014 - 4:43:36 PM

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  • HAL Id : hal-01024745, version 1

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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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