期刊论文详细信息
Proceedings of the Japan Academy, Series A. Mathematical Sciences | |
Determination of a nonlinearity from blow-up time | |
article | |
Yutaka Kamimura1  Hiroyuki Usami2  | |
[1] Department of Ocean Sciences, Tokyo University of Marine Science and Technology;Faculty of Engineering, Gifu University | |
关键词: Inverse problem; blow-up time; multiplicative Wiener-Hopf.; | |
DOI : 10.3792/pjaa.90.127 | |
学科分类:数学(综合) | |
来源: Japan Academy | |
【 摘 要 】
We study an inverse problem to determine a nonlinearity of an autonomous equation from a blow-up time of solutions of the equation. A local well-posedness of the inverse problem near a nonlinearity of the type $u^{1+\sigma}$, $\sigma>0$, is established. The paper also suggests that the inverse problem has a good, mathematical structure from a viewpoint of the Wiener-Hopf theory in integral equations.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000421ZK.pdf | 227KB | download |