Magnetic interpolation inequalities

Abstract: In this talk I will present various results concerning interpolation inequalities, best constants and information about the extremal functions involving Schrödinger magnetic operators in dimensions 1, 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.

analysis of PDEs

Audience: researchers in the topic

Rio de Janeiro webinar on analysis and partial differential equations

Series comments: Talks are held twice a month; start time and day of the week may vary, according to the speaker time zone. A link to join each webinar will be made available in due time here and at sites.google.com/view/webinarpde/home