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Stability estimate for a partial data inverse problem for the convection-diffusion equation

  • *Corresponding author: Manmohan Vashisth

    *Corresponding author: Manmohan Vashisth
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  • In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equation, from partial boundary measurements. For dimension $ n\ge 2 $, we show the convection term (modulo the gauge term) admits log-log stability, whereas log-log-log stability estimate is obtained for the density coefficient.

    Mathematics Subject Classification: 35R30, 35K20.


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