Monday Analysis Seminar: Construction of a domain which fails the global boundary Harnack principle via the Helmholtz equation

2015-4-27 14:45 - 2015-4-27 16:15
Faculty of Science Buliding #3 Room 210
Hiroaki Aikawa (Hokkaido Univeristy)
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.