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- W2257120458 abstract "The equivalence between logarithmic Sobolev inequalities and hypercontractivity of solutions of Hamilton-Jacobi equations has been proved in [5]. We consider a semi-Lagrangian approximation scheme for the Hamilton-Jacobi equation and we prove that the solution of the discrete problem satisfies a hypercontractivity estimate. We apply this property to obtain an error estimate of the set where the truncation error is concentrated." @default.
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- W2257120458 date "2013-12-11" @default.
- W2257120458 modified "2023-09-27" @default.
- W2257120458 title "Hypercontractivity of a semi-Lagrangian scheme for Hamilton-Jacobi equations" @default.
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