Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
Regularity results for solutions of the equation \(f(x,u,\partial^{\beta}u)_{| \beta | \leq m}=0,\) \(f\in C^{\infty}\), are proved either in the first order case or in the case of dimension 2. To do this the author studies in a first stage a so- called precised paradifferential calculus.
scientific article; zbMATH DE number 4107245
scientific article