Radiation Condition for Elastic Wave Equations in a Perturbed Half‐Space in ℝ3$$ {\mathbb{R}}^3 $$

ABSTRACT We introduce a radiation condition for the stationary elastic wave equation with a free boundary condition in a locally perturbed half space in , and prove the uniqueness of the scattering solution.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-12-12
DOI
https://doi.org/10.1002/mma.70372
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Radiation Condition for Elastic Wave Equations in a Perturbed Half‐Space in ℝ3$$ {\mathbb{R}}^3 $$

Michiyuki Watanabe, Mitsuteru Kadowaki, Hiroshi Isozaki
Mathematical Methods in the Applied Sciences
Advanced Mathematical Physics Problems
article

Radiation Condition for Elastic Wave Equations in a Perturbed Half‐Space in ℝ3$$ {\mathbb{R}}^3 $$

Michiyuki Watanabe, Mitsuteru Kadowaki, Hiroshi Isozaki
article en

Abstract

ABSTRACT We introduce a radiation condition for the stationary elastic wave equation with a free boundary condition in a locally perturbed half space in , and prove the uniqueness of the scattering solution.

Mathematical Methods in the Applied Sciences
Okayama University of Science (JP), University of Shiga Prefecture (JP), University of Tsukuba (JP)
Openalex Percentile: Top 56%
Advanced Mathematical Physics Problems
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