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

doi:10.1007/s42967-024-00407-9

Communications on Applied Mathematics and Computation ›› 2026, Vol. 8 ›› Issue (1): 87-93.doi: 10.1007/s42967-024-00407-9

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

Mourad Choulli

Université de Lorraine, Nancy, France

收稿日期:2024-01-04 修回日期:2024-03-25 出版日期:2026-02-20 发布日期:2026-02-11
通讯作者: Mourad Choulli,E-mail:mourad.choulli@univ-lorraine.fr E-mail:mourad.choulli@univ-lorraine.fr

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

Mourad Choulli

Université de Lorraine, Nancy, France

Received:2024-01-04 Revised:2024-03-25 Online:2026-02-20 Published:2026-02-11
Contact: Mourad Choulli,E-mail:mourad.choulli@univ-lorraine.fr E-mail:mourad.choulli@univ-lorraine.fr

摘要/Abstract

摘要： 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.

关键词: Wave equation, Non-trapping obstacle, Initial data, Speed of sound, Double logarithmic stability inequality

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.

Key words: Wave equation, Non-trapping obstacle, Initial data, Speed of sound, Double logarithmic stability inequality

中图分类号:

35R30

Mourad Choulli. Stable Determination of the Initial Data in an IBVP for the Wave Equation Outside a Non-trapping Obstacle[J]. Communications on Applied Mathematics and Computation, 2026, 8(1): 87-93.

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

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

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