Continuous Dependence for a Backward Parabolic Problem

Continuous Dependence for a Backward Parabolic Problem

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 211–222

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5420

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 211–222

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Parabolic equation