Estimations C1 pour des problèmes paraboliques semi-linéaires
Estimations uniformes à l’explosion pour les équations de la chaleur non linéaires et applications
Étude de la conduction stationnaire dans un domaine comportant une répartition périodique d'inclusions minces de grande conductivité
Étude de l'équation d'évolution des systèmes dissipatifs standards
Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire
Euclid΄s algorithm and accelerated iterative methods
Euler schemes and half-space approximation for the simulation of diffusion in a domain
This paper is concerned with the problem of simulation of , the solution of a stochastic differential equation constrained by some boundary conditions in a smooth domain : namely, we consider the case where the boundary is killing, or where it is instantaneously reflecting in an oblique direction. Given discretization times equally spaced on the interval , we propose new discretization schemes: they are fully implementable and provide a weak error of order under some conditions. The construction...
Euler schemes and half-space approximation for the simulation of diffusion in a domain
This paper is concerned with the problem of simulation of (Xt)0≤t≤T, the solution of a stochastic differential equation constrained by some boundary conditions in a smooth domain D: namely, we consider the case where the boundary ∂D is killing, or where it is instantaneously reflecting in an oblique direction. Given N discretization times equally spaced on the interval [0,T], we propose new discretization schemes: they are fully implementable and provide a weak error of order N-1 under some conditions....
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
Évolution d'une interface par capillarité et diffusion de volume. Estimations a priori et résultats d'existence
Évolution d'une interface par capillarité et diffusion de volume. I. Existence locale en temps
Évolution d'une onde simple pour des équations non-linéaires générales
Evolution equations governed by families of weighted operators
Evolution equations governed by Lipschitz continuous non-autonomous forms
We prove -maximal regularity of the linear non-autonomous evolutionary Cauchy problem where the operator arises from a time depending sesquilinear form on a Hilbert space with constant domain We prove the maximal regularity in when these forms are time Lipschitz continuous. We proceed by approximating the problem using the frozen coefficient method developed by El-Mennaoui, Keyantuo, Laasri (2011), El-Mennaoui, Laasri (2013), and Laasri (2012). As a consequence, we obtain an invariance...
Evolution equations in non-cylindrical domains
We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..
Evolution of convex entire graphs by curvature flows
We consider the evolution of an entire convex graph in euclidean space with speed given by a symmetric function of the principal curvatures. Under suitable assumptions on the speed and on the initial data, we prove that the solution exists for all times and it remains a graph. In addition, after appropriate rescaling, it converges to a homothetically expanding solution of the flow. In this way, we extend to a class of nonlinear speeds the well known results of Ecker and Huisken for the mean curvature...
Evolution of hypersurfaces by their curvature in Riemannian manifolds.
Evolution of subsets of and parabolic problem for the Levi equation
Evolution operators for higher order abstract parabolic equations