Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

The Cauchy problem for the Hardy-Hénon parabolic equation is studied in the critical and subcritical regime in weighted Lebesgue spaces on the Euclidean space ${\mathbb{R}}^d$. Well-…