Heat kernel estimates for Schrödinger operators
Event details
| Date | 11.09.2024 |
| Hour | 16:00 › 17:00 |
| Speaker | Xin Chen (Shanghai Jiao Tong University) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
We will introduce some probabilistic methods to study heat kernel estimates for Schrödinger operators L = −∆ + V and fractional Schrödinger operators L = −∆α/2 + V , based on which the interaction between the behaviors of underlined process {Xt}t≥0 and the potential V will be applied. Our results include the case that V is unbounded or V is decaying to 0 at infinity. Moreover, two-sided Green’s function estimates are also obtained. The talk is based on some joint work with Kamil Kaleta and Jian Wang.
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