Method of analysis for scattering of elastic surface waves on boundaries with corners

弹性表面波在有角边界上的散射分析方法

• 批准号: 19540183
• 负责人: KAWASHITA Mishio
• 金额: $ 2.91万
• 依托单位: Hiroshima University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540183/
• 关键词: 散乱理論; 弾性表面波; 角を持つ領域; 漸近解析

The following research themes which seemed to be related to the present research project were investigated :(1) Study for the inverse boundary value problems for the heat equation in multi- dimensional space.(2) On the decay estimates of the local energy for the solutions of the wave equations. For these subjects, new results were obtained. These were summarized as research papers.About the main subject of the research project, the results expected in the original plan were not obtained. Even in the case that there is no corner, previous studies had to be rearranged and reconsidered. About this case, as a result, complete results were obtained. In any case, it must be admitted that this research task was a remarkable adventure.

主要研究内容包括：(1)多维空间中热方程逆边值问题的研究。(2)波动方程解的局部能量衰减估计。对于这些受试者，获得了新的结果。这些都被总结为研究论文。关于研究项目的主要主题，没有得到原计划中预期的结果。即使在没有角落的情况下，以前的研究也不得不重新安排和重新考虑。对于这一案例，结果得到了完整的结果。无论如何，必须承认，这项研究任务是一次非凡的冒险。

项目成果

Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces

扰动半空间中瑞利波散射核的奇异支持

• 期刊: Methods and Applications of Analysis (掲載決定)
• 作者: M. Kawashita;H. Soga
• 通讯作者: H. Soga

Scattering for the Rayleigh waves in perturbed half-spaces

扰动半空间中瑞利波的散射

• 发表时间: 2010
• 作者: Shimomura;Shun;Kawashita Mishio
• 通讯作者: Kawashita Mishio

Rayleigh波の散乱逆問題について

关于瑞利波散射反问题

• 发表时间: 2007
• 作者: 藤解和也;Laine Ilpo;Tropical Nevanlinna;川下美潮
• 通讯作者: 川下美潮

The enclosure method for the heat equations

热方程的封闭法

• 发表时间: 2009
• 期刊: Inverse problem 25
• 作者: M. Ikehata;M. Kawashita
• 通讯作者: M. Kawashita

Weighted energy estimates for wave equations in exterior domains

外部域波动方程的加权能量估计

• 期刊: orum Math (掲載決定)
• 作者: M. Kawashita;H. Sugimoto
• 通讯作者: H. Sugimoto