TY - JOUR
T1 - Continuous Dependence for a Backward Parabolic Problem
JO - Journal of Partial Differential Equations
VL - 3
SP - 211
EP - 222
PY - 2003
DA - 2003/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5420.html
KW - Parabolic equation
KW - inverse problem
KW - stability
KW - 
AB -  We consider a backward parabolic problem arising in the description of the behavior of the toroidal part of the magenetic field in a dynamo problem. In our backward time problem, the media parameters are spatial distributed and the boundary conditions are of the Robin type. For this ill-posed problem, we prove that the solution depends continuously on the initial-time geometry.