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Volume 16, Issue 3
Continuous Dependence for a Backward Parabolic Problem

Jijun Liu

J. Part. Diff. Eq., 16 (2003), pp. 211-222.

Published online: 2003-08

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  • 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.
  • Keywords

Parabolic equation inverse problem stability

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@Article{JPDE-16-211, author = {Jijun Liu }, title = {Continuous Dependence for a Backward Parabolic Problem}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5420.html} }
TY - JOUR T1 - Continuous Dependence for a Backward Parabolic Problem AU - Jijun Liu 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.
Jijun Liu . (2003). Continuous Dependence for a Backward Parabolic Problem. Journal of Partial Differential Equations. 16 (3). 211-222. doi:
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