The next meeting of the Differential Equations and Mathematical Physics Seminar will be held online via Zoom on  January 20, 2021, at 2:15 p.m. A talk on: Intersecting Null Cones and Mathematical Modeling of GPS, GLONASS Intersatellite Communications in the Gravitational Field of Near-Earth Space with Account of General Relativity Theory will be delivered by Dr. Bogdan Dimitrov, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences. Join Zoom Meeting: https://us02web.zoom.us/j/87368542312?pwd=ZkRZTkp6aTl0U0o0UlZ2L0h3Q0lBZz09 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on  June 17, 2020, at 2:00 p.m. in Room 478 of IMI-BAS. Acad. Peter Popivanov and Prof. Anjela Slavova will deliver lectures on: THE NOBEL PRIZE IN PHYSICS FOR 2019 THE ABEL PRIZE IN MATHEMATICS FOR 2020 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on  March 11, 2020, at 2:00 p.m. in Room 478 of IMI-BAS. Acad. Peter Popivanov will deliver a lecture in memory of Louis Nirenberg (1925 - 2020). An overview of some outstanding results of Prof. Nirenberg in the field of partial differential equations will be made.   Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on February 11, 2020, at 2:00 p.m. in Room 478 of IMI-BAS.  Dr. Mirko Tarulli, will deliver a lecture on: DECAY AND SCATTERING IN ENERGY SPACE FOR THE SOLUTION OF GENERALIZED HARTREE EQUATION Abstract. We prove decay with respect some Lebesgue norms for a class of Schrödinger equations with non-local nonlinearities by showing new Morawetz inequalities and estimates. As a straightforward product we obtain large-data scattering in the energy space for the solutions to the defocusing generalized Hartre equations with mass-energy intercritical nonlinearities in any space dimensions. Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on December 9, 2019, at 2:00 p.m. in Room 478 of IMI-BAS.  Prof. Nicola Visciglia (University of Pisa), will deliver a lecture on: GROWTH PHENOMENA FOR DISPERSIVE EQUATIONS Abstract. We present a series of joint works with N. Tzvetkov. We shall discuss the growth of Sobolev norms in the periodic setting and the growth of moments in the Euclidean setting. In this last case we also get the precise asymptotic behavior for large times. Department of Differential Equations and Mathematical hysics