On the hyperbolic linear functional equations.
On the stabilization of wave-advection coupling. (Sur la stabilisation d'un couplage ondes-advection.)
On the validity of Huygens' principle for second order partial differential equations with four independent variables. II. A sixth necessary condition
On the validity of Huygens' principle for second order partial differential equations with four independent variables. Part I : derivation of necessary conditions
On unique solvability of the periodic problem in the plane for linear hyperbolic equations.
Optimal control of systems determined by strongly nonlinear operator valued measures
In this paper we consider a class of distributed parameter systems (partial differential equations) determined by strongly nonlinear operator valued measures in the setting of the Gelfand triple V ↪ H ↪ V* with continuous and dense embeddings where H is a separable Hilbert space and V is a reflexive Banach space with dual V*. The system is given by dx + A(dt,x) = f(t,x)γ(dt) + B(t)u(dt), x(0) = ξ, t ∈ I ≡ [0,T] where A is a strongly nonlinear operator valued measure...
Partial differential equations with piecewise constant delay.
Periodic solutions of abstract differential equations: the Fourier method
Perron-Frobenius operators and the Klein-Gordon equation
For a smooth curve and a set in the plane , let be the space of finite Borel measures in the plane supported on , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on . Following [12], we say that is a Heisenberg uniqueness pair if . In the context of a hyperbola , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...
Propagation de singularités pour des problèmes aux limites d'ordre 2
Propagation of waves in a randomly stratified medium: an inverse problem.
Quelques résultats de non résolubilité locale pour des équations hyperboliques
Remarques sur la caractérisation des problèmes mixtes bien posés pour un opérateur hyperbolique
Schwinger-Fronsdal theory of abelian tensor gauge fields.
Sets of removable singularities of an equation
Sharp regularity theory for second order hyperbolic equations of Neumann type
This note provides sharp regularity results for general, time-independent, second order, hyperbolic equations with non-homogeneous data of Neumann type.
Single input controllability of a simplified fluid-structure interaction model
In this paper we study a controllability problem for a simplified one dimensional model for the motion of a rigid body in a viscous fluid. The control variable is the velocity of the fluid at one end. One of the novelties brought in with respect to the existing literature consists in the fact that we use a single scalar control. Moreover, we introduce a new methodology, which can be used for other nonlinear parabolic systems, independently of the techniques previously used for the linearized problem....
Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps
Sur un exemple d'équation linéaire hyperbolique n'ayant pas de solution