Le problème mixte des équations des ondes et applications
Les singularités des fonctions spectrales sur une variété riemannienne infiniment aplatie
Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications
This paper is divided into two parts and focuses on the linear independence of boundary traces of eigenfunctions of boundary value problems. Part I deals with second-order elliptic operators, and Part II with Stokes (and Oseen) operators. Part I: Let be an eigenvalue of a second-order elliptic operator defined on an open, sufficiently smooth, bounded domain Ω in ℝⁿ, with Neumann homogeneous boundary conditions on Γ = tial Ω. Let be the corresponding linearly independent (normalized) eigenfunctions...
Local solution of Carrier's equation in a noncylindrical domain.
Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity
The long-time behaviour of a unique regular solution to the Cahn-Hilliard system coupled with viscoelasticity is studied. The system arises as a model of the phase separation process in a binary deformable alloy. It is proved that for a sufficiently regular initial data the trajectory of the solution converges to the ω-limit set of these data. Moreover, it is shown that every element of the ω-limit set is a solution of the corresponding stationary problem.
Mechanical and thermal null controllability of thermoelastic plates and singularity of the associated mimimal energy function
Mesures de défaut de compacité, application au système de Lamé
Mesures semi-classiques et mesures de défaut
Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition
Mixed problem for semilinear hyperbolic equation of second order with the Dirichlet boundary condition (Preliminary communication)
Mixed problem with boundary integral conditions for a class of hyperbolic equations. (Problème mixte avec conditions intégrales pour une classe d'équations hyperboliques.)
Mixed problem with integral conditions for a certain class of hyperbolic equations.
Mixed problems for fully nonlinear hyperbolic equations.
Mixed problems for hyperbolic equations with a small parameter
Multi-Grid Methods for Hamiltonian-Jacobi-Bellmann Equations.
Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary
New singular solutions of Protter's problem for the 3D wave equation.
Nonclassical problems for the second order hyperbolic equations.
Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type.
Nonhomogeneous boundary value problem for a semilinear hyperbolic equation
We discuss the solvability of a nonhomogeneous boundary value problem for the semilinear equation of the vibrating string in a bounded domain and with a certain type of superlinear nonlinearity. To this end we derive a new dual variational method.