Concentrated forces. Asymptotic study
Concentration of low energy extremals
Concentration of solutions to elliptic equations with critical nonlinearity
Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients
Conformal invariance and time decay for non linear wave equations. II
Conformal invariance and time decay for non linear wave equations. I
Connections between spatial decay of initial data and time asymptotics in a supercritical parabolic equation
Connections in scalar reaction diffusion equations with Neumann boundary conditions
Constant Coefficient Differential Operators with Slowly Spreading Solutions.
Constructing universal pattern formation processes governed by reaction-diffusion systems.
Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
Construction of entire solutions for semilinear parabolic equations.
Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain.
Continuity of the quenching time for a parabolic equation with a nonlinear boundary condition and a potential.
Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
Continuous dependence for the Brinkman equations of flow in double-diffusive convection.
Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics
In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.
Contrôle et stabilisation d'ondes électromagnétiques
Contrôle et stabilisation d'ondes électromagnétiques
We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...