SMS scnews item created by Daniel Hauer at Tue 19 May 2020 2048
Type: Seminar
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Distribution: World
Expiry: 29 Mar 2021
Calendar1: 29 Mar 2021 1500-1600
CalLoc1: Zoom webinar
CalTitle1: Some sharp null-form type estimates for the Klein--Gordon equation
Auth: dhauer@203.54.1.27 (dhauer) in SMS-WASM

Asia-Pacific Analysis and PDE Seminar

Some sharp null-form type estimates for the Klein--Gordon equation

Shobu Shiraki

Dear friends and colleagues,

on Monday, 29 March 2021 at 3 pm, Dr Shobu Shiraki from Saitama University, Japan, is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

           Some sharp null-form type estimates for the Klein--Gordon equation .

Abstract:

Strichartz estimates are very powerful tools in the theory of dispersive and wave-like PDE, and have significant interest to harmonic analysts. In recent years, the study of best constants and extremisers for Strichartz estimates has emerged. Here, we establish some sharp Strichartz estimates for the Klein--Gordon equation in special cases via a bilinear estimate, inspired by analogous results for the wave equation due to Bez--Jeavons--Ozawa in 2016. In the spirit of their paper, we also consider a null-form type operator and, consequently, recover some known results by Quilodrán and Jeavons. In addition, a new refined sharp Strichartz estimate in four spatial dimensions is obtained.

The talk in based on joint work with Jayson Cunanan.

 More information and how to attend this talk can be found at the seminar webpage .

Best wishes,

Daniel

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Webinar Speaker

Shobu Shiraki
Postdoctoral Fellow @ Saitama University, Japan.

Shobu Shiraki earned his master's degree @ Saitama University, Japan, in 2019 and pursuing a PhD under the supervision of Neal Bez. As part of Overseas Challenge program for Young Researchers, he is planning to visit University of Birmingham in the autumn of 2021.
 

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