2024-03-28T09:05:44Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689202022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Wave propagation in even dimensional spacesOzawa, Tohru410Asymptotic 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68920info:doi/10.14943/83318https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68920/1/pre174.pdfHokkaido University Preprint Series in Mathematics1741151992-12engpublisher