Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664902 | Acta Mathematica Scientia | 2007 | 14 Pages |
Abstract
This article discusses spherical pulse like solutions of the system of semilinear wave equations with the pulses focusing at a point and emerging outgoing in three space variables. In small initial data case, it shows that the nonlinearities have a strong effect at the focal point. Scattering operator is introduced to describe the caustic crossing. With the aid of the L∞ norms, it analyzes the relative errors in approximate solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)