对“抽象发展方程的反问题II：粘弹性的高阶可微性”的勘误
Corrigendum to "Inverse Problems for abstract evolution equations II: higher order differentiability for viscoelasticity
摘要：
在我们的论文[SIAM J.申请~数学。79-6（2019），https：//doi.org/10.1137/19M1269403]我们考虑了粘弹性状态下的全波形反演（FWI）。FWI需要从反射波场的部分测量恢复粘弹性波动方程的参数函数的非线性反问题。我们得到了基本参数-解映射的一阶和二阶Fréchet导数及其伴随（伴随波动方程）的显式解析表达式。在本手稿中，我们纠正了一个错误，这发生在一个基本的结果，从而影响了其他几个声明，我们也纠正。
英文摘要：
In our paper [SIAM J.\ Appl.~Math.\ 79-6 (2019), https://doi.org/10.1137/19M1269403] we considered full waveform inversion (FWI) in the viscoelastic regime. FWI entails the nonlinear inverse problem of recovering parameter functions of the viscoelastic wave equation from partial measurements of reflected wave fields. We have obtained explicit analytic expressions for the first and second order Fréchet derivatives and their adjoints (adjoint wave equations) of the underlying parameter-to-solution map. In the present manuscript we correct an error which occurred in a basic result and thus affected several other statements, which we have also corrected.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
