On justification of Sobolev's formula for diffraction by wedge
We consider the scattering of an arbitary incident plane wave which is a tempered distribution by a two-dimensional wedge.
math-ph↗
arXiv subjects
A. E. Merzon
Publications and source records attributed to A. E. Merzon.
On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II
We establish the asymptotic completeness in the nonlinear Lamb system for hyperbolic stationary states. For the proof we construct a trajectory of a reduced equation (which is a nonlinear nonautonomous ODE) converging to a hyperbolic stationary point using the Inverse Function Theorem in a Banach space. We give the counterexamples showing nonexistence of such trajectories for nonhyperbolic stationary points.
math-ph↗