Unique continuation for waves, Carleman estimates, and applications
- Date: Wednesday 14 February 2018, 16:30 – 17:30
- Location: Mathematics Level 8, MALL 2, School of Mathematics
- Type: Analysis and Applications, Seminars, Pure Mathematics
- Cost: Free
Arick Shao, Queen Mary University London. Part of the analysis and applications seminar series
In this talk, we survey some recent unique continuation results for wave equations in "degenerate" settings for which the classical theory fails to apply. Examples include unique continuation results from portions of "infinity". We also discuss the novel geometric Carleman estimates used to prove these results, and we discuss further applications of these estimates to other problems in PDEs, such as in control theory and inverse problems.