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
Identification Problems for Partial Differential Equations of Hyperbolic Type
scp042002.pdf
(1.95MB)
