Reconstruction of Discontinuities from Backscattering Data in Two Dimensions
Reconstruction of Discontinuities from Backscattering Data in Two Dimensions
复制标题
二维反向散射数据的不连续性重建
DOI：
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发表时间：
2013
影响因子：
2
通讯作者：
A. Vargas
中科院分区：
文献类型：
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作者：
J. Barceló;Daniel Faraco;A. Ruiz;A. Vargas
本文证明了薛定谔哈密顿量$-Delta+q$中n=2$维非紧支撑势$q$的非光滑部分包含在背散射数据的玻恩近似$q_B$中：给定$q$在$W^{alpha，2}$中，差$q-q_B$在保持器类$Lambda^中eta$对于任何$eta<alpha.$
We prove that the nonsmooth part of a noncompactly supported potential $q$ in the Schrodinger Hamiltonian $-Delta+q$, in dimension $n=2$, is contained in its Born approximation $q_B$ for backscattering data in a precise sense in terms of continuity: Given $q$ in $W^{alpha,2}$ the difference $q-q_B$ is in the Holder class $Lambda^eta$ for any $eta<alpha.$