Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity
Résumé
We develop a general framework to describe global mild solutions to a Cauchy problem with small initial values concerning a general class of semilinear parabolic equations with a quadratic nonlinearity. This class includes the Navier–Stokes equations, the subcritical dis-sipative quasi-geostrophic equation and the parabolic–elliptic Keller-Segel system.
| Origine | Fichiers produits par l'(les) auteur(s) |
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