

|
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基本情報 |
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氏名 |
渡邊 道之 |
氏名(カナ) |
ワタナベ ミチユキ |
氏名(英語) |
Watanabe Michiyuki |
所属 |
理学部 応用数学科 |
職名 |
教授 |
researchmap研究者コード |
5000090098 |
researchmap機関 |
岡山理科大学 |
Asymptotic behavior of stationary solutions to elastic wave equations in a perturbed half-space in R3
Hiroshi, Isozaki; Mitsuteru, Kadowaki; Michiyuki, Watanabe
We study the stationary elastic wave equation with free boundary condition in a locally perturbed half-space in ℝ^3. Using the stationary phase method, we derive an asymptotic behavior at infinity of the resolvent of the elastic operator uniformly with respect to the direction in ?^2_+. Consequently, the body waves and the Rayleigh surface waves appear simultaneously in the expansion. From the far-field pattern of the expansion, we obtain the scattering amplitude. We also characterize the space of generalized eigenfunctions in terms of Agmon-Hörmander space B^∗ and derive their spatial asymptotics.
- Mathematical Methods in the Applied Sciences
https://doi.org/10.1002/mma.9452
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