Институт математики и математического моделирования

“Analysis and Applied Mathematics” Еженедельный онлайн семинар 24

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Date: Tuesday, February 27, 2024

Time: 14.00-15.00 (Istanbul) = 12.00-13.00 (Ghent) = 17.00-18.00 (Almaty)

Zoom link: https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,

Conference ID: 667 827 0445, Access code: 1

Speaker: Prof. Dr. Tohru Ozawa
Waseda University, Tokyo, Japan

IMU Activities: Chair of Japan's National Committee (2012-2020)
SCJ Activities: Chair of Mathematical Science Committee (2021-)

Title: Basic inequalities in the framework of equalities

Abstract: Basic inequalities such as the Cauchy-Schwarz, Poincaré, and Poincaré - Wirt-inger inequalities are discussed in the framework of equalities, thereby obtaining a simple and direct approach to the proof, the optimal constant, the existence of nontrivial extremiz-ers, and their characterization.

References:
[1] T. Ozawa, D. Suragan, Sharp remainder of the Poincaré inequality, Proc. Amer. Math. Soc., 148 (2020), no. 10, 4235-4239.
[2] T. Ozawa, D. Suragan, Poincaré inequalities with exact missing terms on homogeneous groups, J. Math. Soc. Japan, 73 (2021), no. 2, 497-503.
[3] T. Ozawa, D. Suragan, Poincaré - Wirtinger inequality in the framework of equalities, Analysis and PDE in Latin America - ICMAM 2022 Latin America, Springer, (in press)
[4] T. Ozawa, K. Yuasa, Uncertainty relations in the framework of equalities, J. Math. Anal. Appl., 445 (2017), no. 1, 998-1012.

Biography:
Tohru Ozawa has been a Professor of Mathematics at Waseda University in Tokyo, Tokyo, Japan, since 2008. He graduated with honors from the Department of Physics at Waseda University in 1984. He received a M.S. degree in 1986 and Ph.D. degree in 1990 from RIMS, Kyoto University. He held a Full Professor position from 1995 to 2008 at Hokkaido Univer-sity in Sapporo. In 1998, he was awarded a Spring Prize from the Mathematical Society of Japan for his pioneering work on the nonlinear Schrödinger equation. His research interests include nonlinear partial differential equations in mathematical physics and related subjects in analysis.

Kazakh Mathematical Journal

“Analysis and Applied Mathematics” Еженедельный онлайн семинар 24

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