演講公告

演講主題：Inverse Problems in Partial Differential Equations
主講人：Bastian von Harrach 教授 (法蘭克福歌德大學)
演講日期：2023年5月16日 14:00 – 15:00
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract

Several novel noninvasive imaging methods lead to the problem of determining the coefficient in a partial differential equation (PDE) from (partial) knowledge of its solutions. A prominent example is the emerging technique of electrical impedance tomography (EIT), where electrical currents are driven through a patient to image its interior, which leads to the famous mathematical Calderón problem.
In our talk, we will describe recent mathematical advances on inverse problems for elliptic PDEs. Specifically, we show how to overcome the problem of non-linearity by using monotonicity relations and the concept of localized potentials. We also point out a new connection to semidefinite convex optimization that may yield globally convergent reconstruction algorithms.
相關檔案：Talkl_1120516.pdf

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