Internal Lifshitz tails for discrete Schrödinger operators.
Interpolation in with boundary conditions
Interpolation of function spaces and the convergence rate estimates for the finite difference method.
Interpolation of non-smooth functions on anisotropic finite element meshes
Interpolation of non-smooth functions on anisotropic finite element meshes
In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang [30] are discussed. The modified operators are defined for non-smooth functions and are suited for application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges.
Interpolation theorem for the p-harmonic transform
We establish an interpolation theorem for a class of nonlinear operators in the Lebesgue spaces arising naturally in the study of elliptic PDEs. The prototype of those PDEs is the second order p-harmonic equation . In this example the p-harmonic transform is essentially inverse to . To every vector field our operator assigns the gradient of the solution, . The core of the matter is that we go beyond the natural domain of definition of this operator. Because of nonlinearity our arguments...
Intertwining methods in the problem of inverse scattering
Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe
Introduction
Introduction aux problèmes analytiques posés par le système des équations de Yang-Mills
Invariance of Essential Spectra.
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