Research output: Contribution to journal › Article › peer-review
Simple explicit solutions of the linear wave equation in three dimensions are presented which describe wave packets exponentially localized near a point moving with the wave speed. For large values of a certain free parameter these new solutions are localized in Gaussian manner with respect to longitudinal and transverse variables and time. This agrees with considerations by Babich-Ulin and Ralston who have presented an asymptotic description of solutions exhibiting such local behavior. Global estimates and large-time asymptotics of these solutions are given.
Original language | English |
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Pages (from-to) | 1934-1955 |
Number of pages | 22 |
Journal | Journal of Mathematical Physics |
Volume | 41 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2000 |
ID: 53453425