Catálogo de publicaciones - libros

The solution of the equation div is performed via suitable solutions of the Poisson equation. For this purpose appropriate Sobolev spaces and a certain non-standard negative norm have to be regarded.

In this note we present a method based on Galerkin scheme that seems appropriate to provide global in time fluids flows in domains with moving boundary. Initial data are assumed to be small but not infinitesimal.

The aim of this work is to derive the time decay estimates of solutions for wave equations in ℝ with variable coefficients which are constants near the infinity of ℝ.

We describe how the Keller-Segel model can be obtained as a driftdiffusion limit of kinetic models. Three different examples with global kinetic solutions yield different chemotactical sensitivity functions, including the case of a constant coefficient, where blow up in the limit may occur, the case with density threshold and an intermediate case for which the corresponding perturbed Keller-Segel models have global solutions.

We give here a family of second order examples tailored to those by Kohn and by Christ, which are ( ) hypoelliptic and lose an arbitrarily large (fixed) number of derivatives.

We study the behavior for →∞ of the solutions to the Cauchy problem for a strictly hyperbolic second order equation with coefficients periodic in time, or oscillating with a period going to 0.

The aim of this work is to find a necessary and sufficient condition for local solvability of some classes of degenerate parabolic operators. The conditions are imposed on the right-hand side of the corresponding equation. It is well known that the operators under consideration are nonsolvable for a “massive” set of smooth functions .

The solution of the equation div is performed via suitable solutions of the Poisson equation. For this purpose appropriate Sobolev spaces and a certain non-standard negative norm have to be regarded.

This note is devoted to coercive estimates in anisotropic Hölder norms of the solution of the Cauchy—Dirichlet problem for the system of generalized Stokes equations arising in the linearization of equations of motion of a certain class of non-Newtonian liquids.

We prove local analytic hypoellipticity for a quasilinear version of □ on the Heisenberg Group. The work is joint with A. Bove, M. Derridj and L. Zanghirati.