On an inverse boundary value problem for a nonlinear elastic wave equation

2019/12/26 by Uhlmann, Gunther, Zhai, Jian · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.11756

Abstract

We consider an inverse boundary value problem for a nonlinear elastic wave equation which was studied in [de Hoop, Uhlmann, Wang. Math. Ann. (2019) doi:10.1007/s00208-018-01796-y]. We show that all the parameters appearing in the equation can be uniquely determined from boundary measurements under certain geometric assumptions. The proof is based on second order linearization and Gaussian beams.

Cited by

• Inverse problem for connections in semi-linear wave equations on Lorentzian manifolds
• Recovery of a Null Form in the Wave Equation from Scattering Data

Related

• Determination of the density in a nonlinear elastic wave equation
• Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations
• An inverse boundary value problem arising in nonlinear acoustics
• Determination of the density in the linear elastic wave equation
• Nonlinear interaction of waves in elastodynamics and an inverse problem