Un Exemple Concernant le Comportement Asymptotique de la Solution Bornée de l'Équation........(u).
Unconditional stability of difference formulas
The paper concerns the solution of partial differential equations of evolution type by the finite difference method. The author discusses the general assumptions on the original equation as well as its discretization, which guarantee that the difference scheme is unconditionally stable, i.e. stable without any stability condition for the time-step. A new notion of the -acceptability of the integration formula is introduced and examples of such formulas are given. The results can be applied to ordinary...
Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques.
Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps
Unicité pour certains problèmes de Cauchy non-linéaires, complexes, du premier ordre
Uniform estimates for a class of evolution equations
Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.
We show the uniqueness of the very singular self-similar solution of the equationut - Δ pum + uq = 0.The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.