Sharp Bounds on the Number of Resonances for Symmertic Systems II. Non-Compactly Supported Perturbations
We extend the results in [5] to non-compactly supported perturbations for a class of symmetric first order systems.
Sharp bounds on the number of resonances for symmetric systems
Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in IRn.
Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2
We describe the asymptotic distribution of eigenvalues of self-adjoint elliptic differential operators, assuming that the first-order derivatives of the coefficients are Lipschitz continuous. We consider the asymptotic formula of Hörmander's type for the spectral function of pseudodifferential operators obtained via a regularization procedure of non-smooth coefficients.
Sharp trace asymptotics for a class of -magnetic operators
In this paper we prove a two-term asymptotic formula for the spectral counting function for a D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a semiclassical limit and with strong magnetic field. By scaling, this is equivalent to a thermodynamic limit of a D Fermi gas submitted to a constant external magnetic field.The original motivation comes from a paper by H. Kunz in which he studied, among other things, the boundary correction for the grand-canonical pressure...
Short-time asymptotes of the spectral distribution of the wave equation in R^3 for a multiply connected domain with Robin boundary conditions
Short-time Asymptotics of the two-Dimensional wave Equation for an Annular Vibrating Membrane with Piecewise smooth Boundary Conditions
Signals generated in memristive circuits
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the...
Simplicity and stability of the first eigenvalue of a nonlinear elliptic system.
Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the laplacian on thin planar domains
Singular non polynomial perturbations of
Si studia la perturbazione dello spettro deiroperatore dovuta all'introduzione di un potenziale singolare non polinomiale e si prova che la serie perturbativa del primo autovalore di tale operatore è sommabile secondo Borel.
Singular sets and number of solutions of nonlinear boundary value problems
Singularities of the scattering kernel for generic obstacles
Singularities of the scattering kernel for non convex obstacles
Singularities of the scattering kernel for trapping obstacles
Singularity and regularity -- local and global.
Ski de fond
Small data scattering for nonlinear Schrödinger wave and Klein-Gordon equations
Small data scattering for nonlinear Schrödinger equations (NLS), nonlinear wave equations (NLW), nonlinear Klein-Gordon equations (NLKG) with power type nonlinearities is studied in the scheme of Sobolev spaces on the whole space with order . The assumptions on the nonlinearities are described in terms of power behavior at zero and at infinity such as for NLS and NLKG, and for NLW.
Small eigenvalues of Riemann surfaces and graphs.
Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian