Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness
复制标题
无应力边界弹性楔的衍射：存在性和唯一性
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
G. Lebeau
中科院分区：
文献类型：
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作者：
V. Kamotski;G. Lebeau
应用谱函数技术，由Croisille和Lebeau开发的，我们证明了平面和柱面波衍射问题的解的存在性与应力自由边界条件的弹性楔。我们还制定辐射条件下，唯一性举行。后者意味着在无应力边界的楔形区域中Lamé算子谱的绝对连续性。
Applying the spectral function techniques, developed by Croisille and Lebeau, we prove the existence of solutions to problems of plane and cylindrical waves diffraction by an elastic wedge with stress-free boundary conditions. We also formulate radiation conditions, under which the uniqueness holds. The latter implies absolute continuity of the spectrum of the Lamé operator in a wedge domain with stress-free boundary.