Convergence of approximation schemes for nonlocal front propagation equations

Monteillet, Aurélien

doi:10.1090/s0025-5718-09-02270-4

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Numerical Approximations Of (23)1

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2011

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“…Remark 5. In the case of Eikonal equation with t−measurable velocity function, a similar convergence result is proved, in the recent work of A. Monteillet [27], for a particular numerical scheme.…”

Section: Numerical Approximations Of (23)supporting

confidence: 60%

Characterization of the value function of final state constrained control problems with BV trajectories

Briani¹,

Zidani²

2011

CPAA

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International audienceThis paper aims to investigate a control problem governed by differential equations with Radon measure as data and with final state constraints. By using a known reparametrization method (by Dal Maso and Rampazzo [18]), we obtain that the value function can be characterized by means of an auxiliary control problem of absolutely continuous trajectories, involving time-measurable Hamiltonian. We study the characterization of the value function of this auxiliary problem and discuss its numerical approximations

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Section: Numerical Approximations Of (23)supporting

confidence: 60%