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Energy distribution of the solutions of elastic wave propagation problems in stratified media $R^{3}$

1995
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Tsukuba Journal of Mathematics
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\S 1. Introduction Energy distribution of the solutions of various wave propagation problems has been studied by C. H. Wilcox ([10], [11] , [12] , [13] ). He constructed asymptotic wave functions which approximate the solutions in the sense of $L^{2}$ for large times and calculated asymptotic energy distributions of the solutions in several domain by making use of these asymptotic wave functions. The construction of asymptotic wave functions is based on an eigenfunction expansion theorem which

doi:10.21099/tkbjm/1496162879
fatcat:wrlsnuh54rcdxiilx6a7arxtze