An Inverse Problem for a Nonlinear Stochastic Wave Equation

Abstract

An inverse problem for a nonlinear stochastic wave equation is studied. The shape and the reflectivity coefficient of a part of the boundary of an initial boundary-value problem (with mixed boundary conditions) are determined by optimal control techniques.

Key Words:

• Inverse problem
• Non linear stochastic wave equation
• Sharp control
• Optimal control

Mathematics Subject Classification:

• 35 L 70
• 35 K 05
• 35 R 30
• 49 K 20
• 60 H 15

Acknowledgments