On nonlinear superposition, III.
On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions.
On the S-matrix for Schrödinger operators with long-range potentials.
Potentiels sphéroïdaux pour l'équation de Schrödinger. I. Caractérisation d'un état lié
Power Series Spaces and Weighted Solution Spaces of Partial Differential Equations.
Quelques méthodes d'étude de la propagation d'oscillations hyperboliques non linéaires
Resonances for transparent obstacles
This paper is concerned with the distribution of the resonances near the real axis for the transmission problem for a strictly convex bounded obstacle in , , with a smooth boundary. We consider two distinct cases. If the speed of propagation in the interior of the body is strictly less than that in the exterior, we obtain an infinite sequence of resonances tending rapidly to the real axis. These resonances are associated with a quasimode for the transmission problem the frequency support of...
Schrödingers Operators with Singular Magnetic Vector Potentials.
Series solutions of time-fractional PDEs by homotopy analysis method.
Smooth and discrete systems -- algebraic, analytic, and geometrical representations.
Solution of parabolic equations by means of Lyapunov functionals.
Solution of Partial Differential Equations by a Modified Random Walk.
Solving heat and wave-like equations using He's polynomials.
Stabilization of Schrödinger equation in exterior domains
We prove uniform local energy estimates of solutions to the damped Schrödinger equation in exterior domains under the hypothesis of the Exterior Geometric Control. These estimates are derived from the resolvent properties.
Sur un système d'équations aux dérivées partielles à une fonction d'ensemble comme inconnue
Symmetries of connections on fibered manifolds
The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.
The decomposition method for linear, one-dimensional, time-dependent partial differential equations.
The differential form method for finding symmetries.
The extended tanh-mehtod for finding traveling wave solutions of nonlinear evolution equations.
Weak periodic solutions of the boundary value problem for nonlinear heat equation
The paper deals with the existence of periodic solutions of the boundary value problem for nonlinear heat equation, where various types of nonlinearities are considered. The proofs are based on the investigation of Liapunov-Schmidt bifurcation system via Leray-Schauder degree theory.