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

• ORIGINAL PAPERS • Previous Articles     Next Articles

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

Mourad Choulli   

  1. 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

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

CLC Number: