Determination of the density in a nonlinear elastic wave equation
摘要
This is a continuation of our study (Uhlmann and Zhai in J Math Pures Appl 153:114–136, 2021) on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinear coefficients can be recovered from the displacement-to-traction map, including the density, under some natural geometric conditions on the wavespeeds.