Inverse boundary problems: toward a unified theory
Main funder
Funder's project number: 309963
Funds granted by main funder (€)
- 564 000,00
Funding program
Project timetable
Project start date: 01/09/2017
Project end date: 31/08/2021
Summary
This proposal is concerned with the mathematical theory of inverse problems. This is a vibrant research field in the intersection of pure and applied mathematics, drawing techniques from several different areas and generating new research questions. Prominent questions include the Calder'on problem related to electrical imaging, the Gel'fand problem related to seismic imaging, and geometric inverse problems such as inversion of the geodesic X-ray transform. Recently, exciting new connections between these different topics have begun to emerge. This project intends to explore the possibility of a unified point of view to several inverse boundary problems and related consequences.
Principal Investigator
Primary responsible unit
Related publications and other outputs
- Inverse problems for elliptic equations with power type nonlinearities (2021) Lassas, Matti; et al.; A1; OA
- Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems (2021) Covi, Giovanni; et al.; A1; OA
- Applications of Microlocal Analysis in Inverse Problems (2020) Salo, Mikko; A2; OA
- Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations (2020) Rakesh; et al.; A1; OA
- Fourier Analysis of Periodic Radon Transforms (2020) Railo, Jesse; A1; OA
- Limiting Carleman weights and conformally transversally anisotropic manifolds (2020) Angulo, Pablo; et al.; A1; OA
- Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2 (2020) Meroño, Cristóbal J,; et al.; A1; OA
- The Calderón Problem for a Space-Time Fractional Parabolic Equation (2020) Lai, Ru-Yu; et al.; A1; OA
- The Calderón problem for the fractional Schrödinger equation (2020) Ghosh, Tuhin; et al.; A1; OA
- The Calderón problem for the fractional Schrödinger equation with drift (2020) Cekić, Mihajlo; et al.; A1; OA
