Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities

Proof of the Brezis-Gallouet inequality via heat semigroup

Tohru Ozawa
Waseda University
Japan
Co-Author(s):    Yi Huang, Chenmin Sun, Taiki Takeuchi
Abstract:
Proof of the Brezis-Gallouet inequality is given by means of the heat semigroup in two space dimensions. This talk is based on my recent joint-work with Yi Huang (Nanjing Normal University), Chenmin Sun (Universit\`{e} Paris-Est Cr\`{e}teil), and Taiki Takeuchi (Kyushu University).