Department of Mathematics, College of Arts and Sciences, University of Tokyo|Department of Applied Mathematics, Faculty of Engineering Kobe University
抄録
In this paper, we consider initial value-boundary value problems for partial differential equations of hyperbolic type whose coefficients are all independent of time t. We show a necessary and sufficient condition on initial values guaranteeing that values of the corresponding solutions over the whole spatial domain and t≧t$F_0$ (given time), uniquely determine coefficients in the equation. Moreover for any given initial values, we specify a spatial subdomain where all coefficients can be determined from the above-mentioned values of the solutions. Finally we prove : in the case of the one spatial dimension, such a domain is maximal among subdomains where coefficients can be uniquely determined.
雑誌名
Scientific papers of the College of Arts and Sciences, the University of Tokyo
巻
42
ページ
33 - 62
発行年
1992
ISSN
02897520
書誌レコードID
AA10538733
フォーマット
application/pdf
日本十進分類法
410
出版者
The University of Tokyo
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Identification Problems for Partial Differential Equations of Hyperbolic Type
scp042002.pdf
(1.95MB)
