On Space-Time Means Everywhere Defined Scattering Operators for Nonlinear Klein-Gordon Equations.
On the acoustic impedence condition for ondulated boundary
On the asymptotics of scattering phases for the Schrödinger equation
On the completeness in three body scattering
On the diffraction of high-frequency waves by arbitrary shape cone. Neumann case
On the distribution of resonances for some asymptotically hyperbolic manifolds
We establish a sharp upper bound for the resonance counting function for a class of asymptotically hyperbolic manifolds in arbitrary dimension, including convex, cocompact hyperbolic manifolds in two dimensions. The proof is based on the construction of a suitable paramatrix for the absolute -matrix that is unitary for real values of the energy. This paramatrix is the -matrix for a model laplacian corresponding to a separable metric near infinity. The proof of the upper bound on the resonance...
On the distribution of scattering poles for perturbations of the Laplacian
We consider selfadjoint positively definite operators of the form (not necessarily elliptic) in , , odd, where is a second-order differential operator with coefficients of compact supports. We show that the number of the scattering poles outside a conic neighbourhood of the real axis admits the same estimates as in the elliptic case. More precisely, if are the scattering poles associated to the operator repeated according to multiplicity, it is proved that for any there exists a constant...
On the energy critical focusing non-linear wave equation
On the Existence of Wave Operators for Dirac Operators.
On the Existence of Wave Operators for The Klein-Gordon Equation.
On the Exponential Bound of the Cutoff Resolvent
A simpler proof of a result of Burq [1] is presented.
On the Lax-Phillips scattering theory for transport equation
On the long range scattering for Stark Hamiltonians.
On the nonrelativistic limit of the Dirac hamiltonian
On the poles of the scattering matrix for two convex obstacles
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics
On the real analyticity of the scattering operator for the Hartree equation
We study the real analyticity of the scattering operator for the Hartree equation . To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear...
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
On the Scattering Matrix for N-Particle Hamiltonians