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arXiv · 2208.10117

Parabolic bootstrap for some non-linear equations

Igor Honoré
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Abstract

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 and uniqueness of a global smooth solution of a non-linear and non-local equation that we call "semi" incompressible Navier Stokes equation in R 3 .

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Igor Honoré. 2022-08-22. Parabolic bootstrap for some non-linear equations. https://arxiv.org/abs/2208.10117

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