Asymptotic analysis and inverse problems for linear and non-linear Helmholtz type equations
Asymptotic analysis and inverse problems for linear and non-linear Helmholtz type equations
线性和非线性亥姆霍兹型方程的渐近分析和反问题
批准号：
23740104
负责人：
WATANABE Michiyuki
金额：
$1.75万
依托单位：
依托单位国家：
日本
项目类别：
Grant-in-Aid for Young Scientists (B)
财政年份：
2011
资助国家：
日本
项目状态：
已结题
起止时间：
2011 至 2013
中文摘要
翻译
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英文摘要
An elastic wave equation in a homogeneous, isotropic, elastic half-space with a free boundary and with a constant density and constant body-wave velocities has been investigated as a simple model of the equation describing the seismic wave propagation. We study a relation between asymptotic behavior of a generalized eigenfunction to the stationary elastic wave equation and the Fourier transform associated with the elastic wave equation. In this research, we obtained that the set of solutions can be described by the Fourier transform and the asymptotic expansion of the solution can be evaluated for all direction.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
[O.Hatori, Y.Iida, S.Stevic, S.Ueki, 野津裕史, 梅原守道, H. Notsu, A.K. Sharma and S. Ueki, 羽鳥理, Ege Fujikawa, Ege Fujikawa, Ege Fujikawa, Michiyuki Watanabe, 野津裕史，田端正久, 渡邊 道之]
通讯作者：
渡邊 道之
Inverse Scattering for the Stationary Wave equation with a Friction Term in Two Dimensions
具有二维摩擦项的稳态波动方程的逆散射
具有二维摩擦项的稳态波动方程的逆散射
DOI：
10.4171/prims/100
发表时间：
2013
期刊：
Publications of Research Institute for Mathematical Sciences
影响因子：
--
作者：
[O.Hatori, Y.Iida, S.Stevic, S.Ueki, 野津裕史, 梅原守道, H. Notsu, A.K. Sharma and S. Ueki, 羽鳥理, Ege Fujikawa, Ege Fujikawa, Ege Fujikawa, Michiyuki Watanabe]
通讯作者：
Michiyuki Watanabe
On reconstruction problems in inverse problems of determining unknown coefficients for non-linear partial differential equations
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批准号：20740078
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项目类别：Grant-in-Aid for Young Scientists (B)
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资助金额：$1.33万
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财政年份：2008
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负责人：WATANABE Michiyuki
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依托单位：
海外基金
