ON UNIQUENESS OF RECOVERY OF THE DISCONTINUOUS CONDUCTIVITY COEFFICIENT OF A PARABOLIC EQUATION

Authors
ELAYYAN A ISAKOV V
Citation
A. Elayyan et V. Isakov, ON UNIQUENESS OF RECOVERY OF THE DISCONTINUOUS CONDUCTIVITY COEFFICIENT OF A PARABOLIC EQUATION, SIAM journal on mathematical analysis, 28(1), 1997, pp. 49-59
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
1
Year of publication
1997
Pages
49 - 59
Database
ISI
SICI code
0036-1410(1997)28:1<49:OUOROT>2.0.ZU;2-F
Abstract
We prove uniqueness of a discontinuous principal coefficient of a seco nd-order parabolic equation of the form alpha(0) + chi(Q)b with known smooth alpha(0) and unknown b = b(x) from all possible lateral bounda ry measurements of solutions of this equation. In the proofs, we make use of singular solutions of parabolic equations.