An inverse boundary value problem arising in nonlinear acoustics. (English) Zbl 1515.35358
Authors’ abstract: We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at the boundary of the medium encoded in the Dirichlet-to-Neumann map and we show that these measurements determine the nonlinearity.
Reviewer: Giovanni S. Alberti (Genova)
MSC:
| 35R30 | Inverse problems for PDEs |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35L72 | Second-order quasilinear hyperbolic equations |
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