Stable Determination of the Initial Data in an IBVP for the Wave Equation Outside a Non-trapping Obstacle

Mourad Choulli

doi:10.1007/s42967-024-00407-9

Communications on Applied Mathematics and Computation ›› : 1 -7. DOI: 10.1007/s42967-024-00407-9

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Stable Determination of the Initial Data in an IBVP for the Wave Equation Outside a Non-trapping Obstacle

Mourad Choulli ¹^,a

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Abstract

We establish a double logarithmic stability inequality for the problem of determining the initial data in an IBVP for the wave equation outside a non-trapping obstacle from two localized measurements.

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Mourad Choulli. Stable Determination of the Initial Data in an IBVP for the Wave Equation Outside a Non-trapping Obstacle. Communications on Applied Mathematics and Computation 1-7 DOI:10.1007/s42967-024-00407-9