most citedParabolic bootstrap for some non-linear equations

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2022

Transport equations in Hölder space by vanishing viscosity and applications

Igor Honoré

We obtain a sharp limit Hölder continuity of the solution for the transport equations thanks to a vanishing viscosity analysis. We also derive the same control for parabolic equati…

math.AP2022★ 1 cited

Parabolic bootstrap for some non-linear equations

Igor Honoré

We obtain the well-posedness and Schauder estimates for a class of system of linear, quasi-linear and non-linear second order partial differential equations. We deduce existence an…

math.PR2017

Sharp non-asymptotic Concentration Inequalities for the Approximation of the Invariant Measure of a Diffusion

I Honoré

For an ergodic Brownian diffusion with invariant measure , we consider a sequence of empirical distributions (n) n1 associated with an approximation scheme with decreasi…