UNIQUE RECOVERY OF A COEFFICIENT IN AN ELLIPTIC EQUATION FROM INPUT SOURCES

Authors
LOWE BD RUNDELL W
Citation
Bd. Lowe et W. Rundell, UNIQUE RECOVERY OF A COEFFICIENT IN AN ELLIPTIC EQUATION FROM INPUT SOURCES, Inverse problems, 11(1), 1995, pp. 211-215
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
11
Issue
1
Year of publication
1995
Pages
211 - 215
Database
ISI
SICI code
0266-5611(1995)11:1<211:UROACI>2.0.ZU;2-C
Abstract
We consider the problem of determining the coefficient q(x) from the e quation -Delta uj + quj = fj on a bounded domain Omega subset of R(n) subject to Dirichlet boundary conditions. The non-homogeneous terms {f (j)}(infinity)(1) form a complete set in L(2)(Omega). We prove that, u nder suitable conditions, a unique determination is possible from the net flux data [GRAPHICS] A numerical scheme to reconstruct the coeffic ient is suggested.