中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Prof. André Martinez（Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 40126 Bologna, Italy）
题 目：Optimal estimates on the width of resonances for a Helmholtz resonator (I)(II)
时 间：07.08(星期二), 15:00--17:30
地 点：晨兴数学中心410室
摘 要：We consider a 2 dimensional Helmholtz resonator consisting of a cavity connected to an exterior domain through a thin tube. Under a geometric assumption on the end part of this tube, we prove an optimal exponential lower bound on the widths of the resonances as the size of the tube's section goes to zero. An extension to larger dimensions is obtained, too. The proof is based on Carleman estimates up to the boundary, and on connection formulas at the contact region between the tube and the exterior domain. This is a joint work with L. Nédélec.
附件：