Hölder stability of quantitative photoacoustic tomography based on partial data
题目: Hölder stability of quantitative photoacoustic tomography based on partial data.
报告时间:2023年7月26日 10:00-11:00
报告地点:海纳苑2幢210报告厅
摘要: The talk is related to the inverse problem of reconstructing the diffusion and absorption coefficients of the diffusion equation from internal data in photo-acoustic imaging. I will show that the problem is Hölder stable in subregions close to the boundary where the internal information is available. The
Hölder exponent converges to a positive constant independent of the subregion as the subregion contracts towards the boundary. I will also present several numerical tests that illustrate the theoretical results.
报告人: Professor Faouzi Triki (University Grenoble Alpes)