Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D
Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems.
Uniqueness and stability properties of monostable pulsating fronts
We prove the uniqueness, up to shifts, of pulsating traveling fronts for reaction-diffusion equations in periodic media with Kolmogorov–Petrovskiĭ–Piskunov type nonlinearities. These results provide in particular a complete classification of all KPP pulsating fronts. Furthermore, in the more general case of monostable nonlinearities, we also derive several global stability properties and convergence to pulsating fronts for solutions of the Cauchy problem with front-like initial data. In particular,...
Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems.
Uniqueness/nonuniqueness for nonnegative solutions of a class of second-order parabolic equations