Nonlinear Elliptic Problems with Critical Exponent in Shrinking Annuli.
Nonlinear evolution PDEs in : existence and uniqueness of solutions, asymptotic and Borel summability properties
Non-linear Neumann's condition for the heat equation : a probabilistic representation using catalytic super-brownian motion
Nonnegative solutions of parabolic operators with low-order terms.
Note on the Dirichlet problem with L2-Boundary Data.
Nouvelles formulations intégrales pour les problèmes de diffraction d’ondes
We present an integral equation method for solving boundary value problems of the Helmholtz equation in unbounded domains. The method relies on the factorisation of one of the Calderón projectors by an operator approximating the exterior admittance (Dirichlet to Neumann) operator of the scattering obstacle. We show how the pseudo-differential calculus allows us to construct such approximations and that this yields integral equations without internal resonances and being well-conditioned at all frequencies....
Nouvelles formulations intégrales pour les problèmes de diffraction d'ondes
We present an integral equation method for solving boundary value problems of the Helmholtz equation in unbounded domains. The method relies on the factorisation of one of the Calderón projectors by an operator approximating the exterior admittance (Dirichlet to Neumann) operator of the scattering obstacle. We show how the pseudo-differential calculus allows us to construct such approximations and that this yields integral equations without internal resonances and being well-conditioned at all...
Noyaux élémentaires d'équations aux dérivées partielles du premier ordre
Numerical solution of a three-dimensional integral equation