Interior and superconvergence estimates for mixed methods for second order elliptic problems
Interior estimates for some semilinear elliptic problem with critical nonlinearity
Interior estimates in the theory of partial differential equations and their application to initial value problems.
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets
Interior penalty discontinuous approximations of elliptic problems.
Interior regularity for the quasilinear elliptic systems with nonsmooth coefficients
Interior regularity for weak solutions of nonlinear second order elliptic systems
Internal finite element approximation in the dual variational method for the biharmonic problem
A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with -elements. The convergence of the method is proved and an algorithm described.
Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundaries
Using the stream function, some finite element subspaces of divergence-free vector functions, the normal components of which vanish on a part of the piecewise smooth boundary, are constructed. Applying these subspaces, an internal approximation of the dual problem for second order elliptic equations is defined. A convergence of this method is proved without any assumption of a regularity of the solution. For sufficiently smooth solutions an optimal rate of convergence is proved. The internal approximation...
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.