Asymptotic expansions of solutions of the wave equations in even dimensional spaces are obtained with the initial data of non-compact support. A relationship is proved between the vanishing order at the origin of the Fourier transform of the data and the decay rate of the corresponding solutions in semi-infinite cylinders or along rays inside the forward light cone.
|Number of pages||14|
|Publication status||Published - 1994 Aug|
ASJC Scopus subject areas
- Applied Mathematics