Introduction to the Free Klein-Gordon Evolution Group

Edited by Leun Kim

In this post, we introduce the factorization technique to analyze nonlinear Klein-Gordon equation proposed by N. Hayashi which is similar to the nonlinear Schrodinger equation. For this purpose we reduce the original problem by the certain way and we decompose the free Klein-Gordon evolution group using various operators to get some useful estimates.



I was born and raised in Daegu, S. Korea. I majored in electronics and math in Seoul from 2007 to 2012. I've had a great interest in math since freshman year, and I studied PDE in Osaka, Japan from 2012-2014. I worked at a science museum and HUFS from 2014 in Seoul. Now I'm studying PDE in Tokyo, Japan. I also developed an interest in music, as I met a great piano teacher Oh in 2001, and joined an indie metal band in 2008. In my spare time, I enjoy various things, such as listening music, blogging, traveling, taking photos, and playing Go and Holdem. Please do not hesitate to contact me with comments, email, guestbook, and social medias.