The 33rd KMGS will be held on May 2nd, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Eunchan Jeon from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
Slot (AM 11:50~PM 12:30)
[Speaker] 전은찬 (Eunchan Jeon) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 변재형, Jaeyoung Byeon
[Title] The Hardy type inequality on the bounded domain with mean zero condition
[Discipline] Analysis, PDE
[Abstract]
This talk aims to consider the attainability of the Hardy-type inequality in the bounded smooth domain with average-zero type constraint. Since the criteria of the attainability depends to the concentration-compactness type arguments, we will briefly introduce the results for some classical Hardy-type inequalities and the concentration-compactness arguments. Subsequently, we propose new function spaces that well define the new inequalities. Finally, we will discuss the attainability of the optimal constant of the inequality in the general smooth domain.
[Language] Korean