250096 SE Joint Seminar with Fudan University and RICAM (2025W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Registration is open from Mo 01.09.2025 00:00 to Su 21.09.2025 23:59
Deregistration possible until Fr 31.10.2025 23:59

Details

max. 25 participants

Language: English

Lecturers

Otmar Scherzer

Classes

First seminar is online on Oct. 15th at 1:00pm. Link will be provided later.

Title: Stable inversion of potential in nonlinear wave equations with cubic nonlinearity
Abstract: This talk investigates inverse potential problems of wave equations with cubic nonlinearity. We develop a methodology for establishing stability estimates for inversion of lower order coefficients. The new ingredients of our approach include trilinear approximations of nonlinear response operators, symbol estimates of distorted plane waves, and lower order symbol calculus. It is a joint work with X. Chen and S. Lu from Fudan University.

While the current focus of this talk is theoretical, our ongoing objective is to develop a robust numerical inversion framework for its practical implementation.

Information

Aims, contents and method of the course

Goal is to hear about recent progress in imaging and inverse problems.

Assessment and permitted materials

We do not allow any AI support. We check whether the text is AI generated. If so then the report is not accepted.

Minimum requirements and assessment criteria

Positive evaluation of the report.

Examination topics

as mentioned above

Reading list

The text provided by the presenters of the seminar.

Association in the course directory

MAMS; MSE; MEL

Last modified: Th 02.10.2025 10:07