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

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.

Keywords

Wave equation / Non-trapping obstacle / Initial data / Speed of sound / Double logarithmic stability inequality / 35R30

References

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RIGHTS & PERMISSIONS

Shanghai University