Magnetic interpolation inequalities in dimensions 2 and 3

Maria Esteban (Paris)
Tuesday 19 May 2020 16:15 Zoom
Mathematics Seminar

In this talk I will present various results concerning interpolation inequalities, best constants and information about the extremal functions concerning Schrödinger magnetic operators in dimensions 2 and 3. The particular, and physical interesting cases of constant and of Aharonov-Bohm magnetic fields will be discussed in detail.

These works have been made in collaboration with D. Bonheure, J. Dolbeault, A. Laptev and M. Loss.