Some results on the constrained variational problem

• 主讲人：Wenming Zou (Tsinghua University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2024-11-28 20:00 - 2024-11-28 21:00
• 地点： Online

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Recording: https://disk.pku.edu.cn/link/AAEE6EE3DCAB384FE79258F879CF21499C

 

Abstract: This survey talk mainly involves two parts: The normalized solution and the stability of inequality. The first part will focus on the existence of solutions to some Schrodinger systems or equation satisfying the normalization constraint, including the normalized solutions to the BEC-type systems with a wider range of parameters and the existence of normalized solutions of nonlinear Schrodinger equations with combined nonlinearities in large bounded domains. The second part of the talk is concerned with the quantitative stability for several inequality, such as Sobolev trace inequality and CKN-inequality.

 

Bio: Wenming Zou is a professor at the Math Department, Tsinghua University. He obtained PhD in 1998 from the Institute of Mathematics, Chinese Academy of Sciences; Conducted postdoc research at Stockholm University from 1998 to 1999; Visiting assistant professor and lecturer at the University of California, Irvine from 2001 to 2004; Published over 170 research articles and two monographs in Springer-NY, including journals as Math Ann; ARMA; Adv Math; JMPA; ComPDE; AIHP; TransAMS; JFA; SIAM-JMA; Ann. Scuola Normale Pisa; CVPDE; etc. MathSciNet shows that the works have been cited over 4200 times, sparking and inspiring a series of subsequent research by others.