Invariance of essential spectra for generalized Schrödinger operators.
Invariance of the Fredholm radius of an operator in potential theory
Invariance of the Fredholm radius of the Neumann operator
Invariant wedges for a two-point reflecting Brownian motion and the “hot spots” problem.
Invarianz des wesentlichen Spektrums bei Schrödingeroperatoren.
Inverse boundary value problems for partial differential equations.
Inverse du Laplacien discret dans le problème de Poisson-Dirichlet à deux dimensions sur un rectangle
Ce travail a pour objet l’étude d’une méthode de « discrétisation » du Laplacien dans le problème de Poisson à deux dimensions sur un rectangle, avec des conditions aux limites de Dirichlet. Nous approchons l’opérateur Laplacien par une matrice de Toeplitz à blocs, eux-mêmes de Toeplitz, et nous établissons une formule donnant les blocs de l’inverse de cette matrice. Nous donnons ensuite un développement asymptotique de la trace de la matrice inverse, et du déterminant de la matrice de Toeplitz....
Inverse eigenvalue problems for semilinear elliptic equations.
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation
MSC 2010: 35J05, 33C10, 45D05
Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation
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 source problem in a 3D ball from best meromorphic approximation on 2D slices.
Inverse spectral problem for the Schrödinger operator with periodic magnetic and electric potentials
Inverted finite elements : a new method for solving elliptic problems in unbounded domains
In this paper, we propose a new numerical method for solving elliptic equations in unbounded regions of . The method is based on the mapping of a part of the domain into a bounded region. An appropriate family of weighted spaces is used for describing the growth or the decay of functions at large distances. After exposing the main ideas of the method, we analyse carefully its convergence. Some 3D computational results are displayed to demonstrate its efficiency and its high performance.
Inverted finite elements: a new method for solving elliptic problems in unbounded domains
In this paper, we propose a new numerical method for solving elliptic equations in unbounded regions of . The method is based on the mapping of a part of the domain into a bounded region. An appropriate family of weighted spaces is used for describing the growth or the decay of functions at large distances. After exposing the main ideas of the method, we analyse carefully its convergence. Some 3D computational results are displayed to demonstrate its efficiency and its high performance.
Inverting the p-harmonic operator.
Investigation of the question of the well-posedness of diffraction problems in the case of angular domains.
Invisible obstacles
It is proved that one can choose a control function on an arbitrarilly small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called "invisible" in this case.
Ipoellitticità e buona posizione del problema di Cauchy per una classe di operatori ellittici degeneri
Isolation and simplicity for the first eigenvalue of the -Laplacian with a nonlinear boundary condition.