15:00 - 16:00, October 14, 2025 (Tuesday) R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Refinement of Asymptotic Behavior of the Eigenvalues for the Linearized Liouville–Gel'fand Problem Hiroshi Ohtsuka (Kanazawa University)
Abstract
We determine the second term of the asymptotic expansions for the first eigenvalues and eigenfunctions of the linearized Liouville–Gel'fand problem associated with solutions that blowup at points. Our problem is the case with an inhomogeneous coefficient in a two-dimensional domain and we extend the previous studies for the problem with a homogeneous coefficient. We also discuss in detail the required regularity of the coefficient necessary to reach the conclusion. The talk is a joint works with T. Sato (Nihon Univ.).
