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Wave front sets of the Riemann function of elastic interface problems
Author(s) -
Shimizu Senjo
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.461
Subject(s) - front (military) , mathematics , riemann hypothesis , riemann problem , mathematical analysis , function (biology) , wavefront , point (geometry) , interface (matter) , geometry , mechanics , physics , optics , meteorology , bubble , maximum bubble pressure method , evolutionary biology , biology
We obtain an inner and an outer estimates of wave front sets and analytic wave front sets of the Riemann function of elastic interface problems by using the localization method due to Wakabayashi. In our problem the outer estimate of wave front sets and analytic wave front sets of the Riemann function coincides with the inner estimate of those. The strong point of our results is to catch the lateral wave as well as the incident, the reflected, and the refracted waves. Copyright © 2004 John Wiley & Sons, Ltd.