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<p>We consider a nonlinear inverse problem for determining the unknown x-dependent coefficient at u<sub>x</sub> in a uniformly parabolic equation with one spatial variable and the additional condition of final observation. We obtain a sufficient condition for the existence and uniqueness of a solution. We give some examples of inverse problems for which the obtained results hold.</p>

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Inverse Problem of Determining Coefficient at Lower Derivative in Parabolic Equations Under Final Observation

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • V. L. Kamynin

摘要

We consider a nonlinear inverse problem for determining the unknown x-dependent coefficient at ux in a uniformly parabolic equation with one spatial variable and the additional condition of final observation. We obtain a sufficient condition for the existence and uniqueness of a solution. We give some examples of inverse problems for which the obtained results hold.