论文标题
与“抽象进化方程的反问题II：粘弹性的高阶不同性能
Corrigendum to "Inverse Problems for abstract evolution equations II: higher order differentiability for viscoelasticity
论文作者
论文摘要
在我们的论文[Siam J. \ Appl。 FWI需要从反射波场的部分测量中恢复粘弹性波方程的参数函数的非线性反问题。我们已经获得了基础参数到测得的映射的第一阶和二阶Fréchet衍生物及其伴随（伴随波方程）的明确分析表达式。在本手稿中，我们纠正了一个错误，该错误发生在基本结果中，从而影响了其他几个陈述，我们也纠正了这些陈述。
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.
