Speaker
Norisuke Ioku
(Tohoku University)
Description
This lecture begins with the observation that isolated singularities of harmonic functions naturally arise from the law of universal gravitation. In the first part, we review the classical theory, including the fundamental solution of the Laplace equation, the mean value property, and Harnack’s inequality, and apply these tools to classify isolated singularities of harmonic functions. In the second part, after a brief overview of distribution theory, we present an alternative approach to isolated singularities due to Brezis and Lions, which is based on the support of distributions.
Primary author
Norisuke Ioku
(Tohoku University)
