Error estimates for Euler forward scheme related to two-phase Stefan problems
Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Error estimates of a difference approximation method for a backward heat conduction problem.
Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Error estimates on homogenization of free boundary velocities in periodic media
Esistenza ed unicità della soluzione di una disequazione variazionale associata ad un operatore ellittico del secondo ordine a coefficienti discontinui
Essential m-dissipativity of Kolmogorov operators corresponding to periodic -Navier Stokes equations
We prove the essential m-dissipativity of the Kolmogorov operator associated with the stochastic Navier-Stokes flow with periodic boundary conditions in a space where is an invariant measure
Estimates for a solution to one differential inequality.
Estimates in the Hardy-Sobolev space of the annulus and stability result
The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space ; of an annular domain. These results are considered as a continuation of a previous study in the setting of the unit disk by L. Baratchart and M. Zerner, On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk, J. Comput. Appl. Math. 46 (1993), 255–269 and by S. Chaabane and I. Feki, Optimal logarithmic estimates in Hardy-Sobolev spaces...
Estimation of a temporally and spatially varying diffusion coefficinet in a parabolic system by an augmented Lagrangian technique.
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude de l’équation où est une mesure positive
On montre que les solutions faibles de l’équation , où est une mesure positive négligeant les polaires, vérifient une inégalité de Harnack. On s’occupe également des sursolutions dont on fait la représentation intégrale a l’aide d’une fonction de Green. Comme les solutions sont discontinues, on est amené à utiliser les formules probabilistes.
Étude du nombre de solutions pour une classe d'équations elliptiques non-linéaires qui se prolongent en problèmes à frontière libre
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....
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems.
Evolution in a migrating population model
We consider a model of migrating population occupying a compact domain Ω in the plane. We assume the Malthusian growth of the population at each point x ∈ Ω and that the mobility of individuals depends on x ∈ Ω. The evolution of the probability density u(x,t) that a randomly chosen individual occupies x ∈ Ω at time t is described by the nonlocal linear equation , where φ(x) is a given function characterizing the mobility of individuals living at x. We show that the asymptotic behaviour of u(x,t)...
Evolution operators for higher order abstract parabolic equations
Exact and approximate solutions of delay differential equations with nonlocal history conditions.
Exact boundary observability for quasilinear hyperbolic systems
By means of a direct and constructive method based on the theory of semi-global C1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.