MONOTONICITY AND INVERTIBILITY OF COEFFICIENT-TO-DATA MAPPINGS FOR PARABOLIC INVERSE PROBLEMS

Authors
DUCHATEAU P
Citation
P. Duchateau, MONOTONICITY AND INVERTIBILITY OF COEFFICIENT-TO-DATA MAPPINGS FOR PARABOLIC INVERSE PROBLEMS, SIAM journal on mathematical analysis, 26(6), 1995, pp. 1473-1487
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
26
Issue
6
Year of publication
1995
Pages
1473 - 1487
Database
ISI
SICI code
0036-1410(1995)26:6<1473:MAIOCM>2.0.ZU;2-Y
Abstract
This paper considers the coefficient-to-data mappings associated with unknown coefficient inverse problems for nonlinear parabolic partial d ifferential equations. Integral identities are derived that show the c oefficient-to-data mapping is monotone and invertible in the case of a single unknown coefficient and the mapping is invertible in the case of simultaneous determination of two unknown coefficients.