Inverse scattering problem for the Maxwell equations outside moving body
Inverse scattering problems in several dimensions
Inverse scattering theory for Dirac operators
Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
Inverse spectral problem for the Schrödinger operator with periodic magnetic and electric potentials
Isolation and simplicity for the first eigenvalue of the -Laplacian with a nonlinear boundary condition.
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field and displacement...
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field and displacement...
Isoperimetric inequalities for some nonlinear eigenvalue problems.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.
Jost solution and the spectrum of the discrete Dirac systems.
diamètre de classes d’espaces de Sobolev sur associés à des opérateurs de type «Schrödinger»
Klein Paradox and Superradiance for the charged Klein-Gordon Field
-boundedness and -compactness of a class of Fourier integral operators.
-spectrum of Ornstein-Uhlenbeck operators
- theory for a class of singular elliptic differential operators, II
-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues.
La distribution des pôles de la matrice de diffusion
La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel
La géométrie de Bakry-Émery et l’écart fondamental
Cet article est une présentation rapide, d’une part de résultats de l’auteur et Z. Lu [14], et d’autre part, de la résolution de la conjecture de l’écart fondamental par Andrews et Clutterbuck [1]. Nous commençons par rappeler ce qu’est la géométrie de Bakry-Émery, nous poursuivons en montrant les liens entre valeurs propres du laplacien de Dirichlet et de Neumann. Nous démontrons ensuite un rapport entre l’écart fondamental et la géométrie de Bakry-Émery, puis nous présentons les idées principales...