Special Session 93: 

On the impulse response for solutions of two-dimensional Liouville type equations

Hiroshi Ohtsuka
Kanazawa University
Japan
Co-Author(s):    Tadatsugu Hatori, Yuichi Yatsuyanagi
Abstract:
Motivated by the experimental facts observed in confined non-neutral plasma, we are interested in the impulse response for solutions of two-dimensional Liouville type equations, that is, the asymptotic behavior for solutions of Liouville type equations with one singular source as the singularity vanishes. In this talk, we observe some basic facts on the exact solution for singular Liouville type equation in ${\bf R}^2$ established by Prajapat and Tarantello (2001) and try to generalize some of them.