DETERMINATION OF THE COEFFICIENT OF UX IN A LINEAR PARABOLIC EQUATION

Authors
CANNON JR PEREZESTEVA S
Citation
Jr. Cannon et S. Perezesteva, DETERMINATION OF THE COEFFICIENT OF UX IN A LINEAR PARABOLIC EQUATION, Inverse problems, 10(3), 1994, pp. 521-531
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
10
Issue
3
Year of publication
1994
Pages
521 - 531
Database
ISI
SICI code
0266-5611(1994)10:3<521:DOTCOU>2.0.ZU;2-C
Abstract
We investigate the local existence, uniqueness and continuous dependen ce of a pair (u(x, 1), p(t)) satisfying u(t) = u(xx) + p(t)u(x) on (0, 1) x (0, T], u(x, 0) = u0(x), u(0, t) = f1(t), u(1, t) = f2(t) and m( t) = integral-b(t)/0 u(x, t) dx. The problem is reduced to finding a f ixed point of a nonlinear operator in a closed subset of a Banach spac e.