吴轲:Monotonicity of the second Neumann eigenfunction in symmetry domain
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
吴轲,武汉大学
Inviter:
孙黎明
Title:
Monotonicity of the second Neumann eigenfunction in symmetry domain
Language:
Chinese
Time & Venue:
2023.03.16 09:00-10:00 腾讯会议: 30033754440
Abstract:
In 1974, Jeffrey Rauch proposed the hot spot conjecture for the second eigenfunctions of the Neumann eigenvalue problems. We will recall some of its development and related studies in recent years. We will also introduce our recent results concerning monotonicity properties of symmetric Neumann eigenfunctions of the Laplacian of convex planar domains with one line of symmetry.