On the asymptotics of scattering phases for the Schrödinger equation
On the asymptotics of solutions of elliptic equations in a neighborhood of a crack with nonsmooth front.
On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.
On the asymptotics of the spectrum of a thin plate problem of elasticity.
On the Asypmptotic Behaviour of Solutions of Nonlinear Parabolic Equations.
On the average value for nonconstant eigenfunctions of the -Laplacian assuming Neumann boundary data.
On the backward heat equation
On the backward heat problem: evaluation of the norm of .
On the backward parabolic equation: a critical survey of some current methods
On the barotropic motion of compressible perfect fluids
On the base and the essential base in parabolic potential theory
On the behavior of a nonstationary Poiseuille solution as .
On the behavior of solutions of parbolic equations with unbounded coefficients
On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer.
On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
On the behaviour of generalized solutions to genuinely nonlinear first order equations for small and large values of time.
The paper deals with the asymptotic behavior of generalized solutions to nonlinear first order equations. With the aid of explicit variational representation one studies the decrease of solutions for a large time. And for the small time an asymptotic of the perturbation?s front is calculated.
On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains
The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.
On the behaviour of the generalized solution of the biharmonic equation in two dimensions near singular point of the boundary
On the behaviour of the solutions to p-Laplacian equations as p goes to 1
On the best observation of wave and Schrödinger equations in quantum ergodic billiards
This paper is a proceedings version of the ongoing work [20], and has been the object of the talk of the second author at Journées EDP in 2012.In this work we investigate optimal observability properties for wave and Schrödinger equations considered in a bounded open set , with Dirichlet boundary conditions. The observation is done on a subset of Lebesgue measure , where is fixed. We denote by the class of all possible such subsets. Let . We consider first the benchmark problem of maximizing...