月曜解析セミナー： Construction of a domain which fails the global boundary Harnack principle via the Helmholtz equation

2015年 　 4月 27日 14時 45分 ～ 2015年 　 4月 27日 16時 15分

We show the sharpness of the modulus of continuity of a function $f$ for which the domain lying above the graph of $f$ satisfies the global boundary Harnack principle, with the aid of precise estimates of the Poisson integrals with respect to the Helmholtz equation in the half space.