Nonuniqueness in the martingale problem and the Dirichlet problem for uniformly elliptic operators
Nonuniqueness of steady states in annular domains for Streater equations
Models introduced by R. F. Streater describe the evolution of the density and temperature of a cloud of self-gravitating particles. We study nonuniqueness of steady states in annular domains in , d ≥ 2.
Nonvariational layer potentials with respect to Hölder continuous vector fields.
Norm group convergence for singular Schrödinger operators
Norm inequalities for potential-type operators.
The purpose of this paper is to derive norm inequalities for potentials of the formTf(x) = ∫(Rn) f(y)K(x,y)dy, x ∈ Rn,when K is a Kernel which satisfies estimates like those that hold for the Green function associated with the degenerate elliptic equations studied in [3] and [4].
Normal solvability of general linear elliptic problems.
Note on an anisotropic -Laplacian equation in .
Note on an inequality
Note on infinity-superharmonic functions.
Note on operators produced by sesquilinear forms
Note on spectral theory of nonlinear operators: Extensions of some surjectivity theorems of Fučík and Nečas
Note on the Dirichlet problem with L2-Boundary Data.
Note on the Fredholm alternative for nonlinear operators
Note on the nodal line of the -Laplacian.
Note on the stability of the Dirichlet problem and the Poisson equation
Note to the paper by R. Hempel, A. M. Hinz, and H. Kalf: On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
Notes On Partial Differential Equations III: Two Dirchlet Type Problems For Poisson's Equation
Notes on partial differential equations III: Two Dirichlet type problems for Poisson's equation.
Nouvelles formulations intégrales pour les problèmes de diffraction d’ondes
We present an integral equation method for solving boundary value problems of the Helmholtz equation in unbounded domains. The method relies on the factorisation of one of the Calderón projectors by an operator approximating the exterior admittance (Dirichlet to Neumann) operator of the scattering obstacle. We show how the pseudo-differential calculus allows us to construct such approximations and that this yields integral equations without internal resonances and being well-conditioned at all frequencies....
Nouvelles formulations intégrales pour les problèmes de diffraction d'ondes
We present an integral equation method for solving boundary value problems of the Helmholtz equation in unbounded domains. The method relies on the factorisation of one of the Calderón projectors by an operator approximating the exterior admittance (Dirichlet to Neumann) operator of the scattering obstacle. We show how the pseudo-differential calculus allows us to construct such approximations and that this yields integral equations without internal resonances and being well-conditioned at all...