My research focuses on the area of Inverse Problems for Partial Differential Equations.
The main question in the area of Inverse Problems I am studying is how to reconstruct some coefficients or source terms of partial differential equations from the information of the solutions to those equations. These data are measured far away from regions under considerations. Since the solutions of Inverse Problems represent the physical parameters of the media occupied in those regions, Inverse Problems serve crucial roles of identifying or detecting hidden objects such as malignant tumors inside living tissues, explosive-like object buried under the ground, etc.
Besides Inverse Problems, I am interested in the areas of nonlinear analysis and singular nonlinear Partial Differential Equations.
- Ecole Normale Superieure Paris, France, 2011-2013.
- Ecole Polytechnique Federale de Lausanne, Switzerland, 2013-2015.
- University of North Carolina Charlotte, USA, 2015-present.
- Qitong Li;
- Alexey Smirnov (with M. Klibanov);
- Thuy Le.