Invited by Prof. Chunyou Sun of School of Mathematics and Statistics,

Prof.A. A. Shkalikov of Lomonosov Moscow State University will visit our school and give a lecture during his staying from June 30th to July 6th in 2019.

Title: Multipliers in Sobolev spaces and their applications in the theory of differential operators

Time：10: 20 am, July 3rd, 2019

Location：Lecture Room, Mingdao Building, Medical Compus of Lanzhou Univerisity

Abstract: We will show that the description of the Bessel potential spaces of multipliers plays an important role in solving the problem, which was raised up by L. Faddev, F. Berezin and R. Minlos. The problem is connected with correct definition of elliptic operators with distribution coefficients. The talk is based on the joint papers with Alexey A. Belyaev.

Curriculum Vitae: Prof. A.A.Shkalikov is currently teaching at the Moscow State University. He is the Chairman of Function Theory and Functional Analysis and the Director of the Laboratory of Operator Models and Spectral Analysis. In 1972, he graduated from the Department of Mechanics and Mathematics of the Moscow State University. In 1977, he obtained a Ph.D. in functional analysis from the Moscow State University. In 1987, he obtained a second Ph.D. in functional analysis from the Moscow State University. He won the Moscow Young Scientist Award in 1983 and the first degree award of Lomonosov in 2001.

Prof. A.A.Shkalikov did lots of excellent works in the area of singularity (distribution) coefficient, operator matrix theory, inverse Sturm-Liouville problem, operator theory in Kerin space, quasi-classical approximation in non-self-adjoint Sturm-Liouville problem, in the differential operator theory, the Sobolev problem of viscous liquid stability. He has published more than 120 papers in important international academic journals such as Mat. Zametki、Math. Notes、Amer. Math. Soc. Transl. Ser.、Proc. Steklov Inst. Math. and so on.

Provincial Key Laboratory of Applied Mathematics and Complex Systems, Gansu Province

School of mathematics and statistics

CuiyingHonors College

July 1st, 2019