most citedParabolic bootstrap for some non-linear equations

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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…