A partial data inverse problem for the convection-diffusion equation

Suman Kumar Sahoo; Manmohan Vashisth

doi:10.3934/ipi.2019063

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2020, Volume 14, Issue 1: 53-75. Doi: 10.3934/ipi.2019063

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A partial data inverse problem for the convection-diffusion equation

Suman Kumar Sahoo^1, and
Manmohan Vashisth^2, ,

1.
TIFR Centre for Applicable Mathematics, Bangalore 560065, India
2.
Beijing Computational Science Research Center, Beijing 100193, China

^* Corresponding author: Manmohan Vashisth
^* Corresponding author: Manmohan Vashisth

Received: January 31, 2019

Revised: August 31, 2019

Published: November 2019

First author is supported by Matrics grant MTR/2017/000837. The work of second author is supported by NSAF grant (No. U1930402)

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Abstract

In this article we study the inverse problem of determining the convection term and the time-dependent density coefficient appearing in the convection-diffusion equation. We prove the unique determination of these coefficients from the knowledge of solution measured on a subset of the boundary.

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Mathematics Subject Classification: 35R30, 35K20.

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