On the Hölder-continuity of solutions of a nonlinear parabolic variational inequality
On the NLS dynamics for infinite energy vortex configurations on the plane.
On the short time asymptotic of the stochastic Allen–Cahn equation
A description of the short time behavior of solutions of the Allen–Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit solutions move according to motion by mean curvature with an additional stochastic forcing. This extends a similar result of Funaki [Acta Math. Sin (Engl. Ser.)15 (1999) 407–438] in spatial dimension n=2 to arbitrary dimensions.
On the structure of the conformal Gaussian curvature equation on R2. II.
Ondes oscillantes simples quasilinéaires
Optimal measures for the fundamental gap of Schrödinger operators
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
Original title unknown
Periodic solutions of a weakly nonlinear hyperbolic equation in and
Periodic solutions of a weakly nonlinear wave equation
Periodic solutions of the equation
Periodic solutions of weakly nonlinear wave equations in unbounded intervals
Periodic solutions to weakly nonlinear autonomous wave equations
Periodically forced damped beams resting on nonlinear elastic bearings
Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation
Perturbation expansions for eigenvalues and eigenvectors for a rectangular membrane subject to a restorative force.
Perturbation index of linear partial differential-algebraic equations with a hyperbolic part
This paper deals with linear partial differential-algebraic equations (PDAEs) which have a hyperbolic part. If the spatial differential operator satisfies a Gårding-type inequality in a suitable function space setting, a perturbation index can be defined. Theoretical and practical examples are considered.
Perturbation of Harmonic Spaces and Construction of Semigroups.
Perturbation of mixed variational problems. Application to mixed finite element methods
Perturbation properties of the spectrum of periodic Schrödinger operators
Perturbations en théorie spectrale