no code implementations • 28 Dec 2020 • Avy Soffer, Yifei Wu, Xiaohua Yao
In this paper, we consider the global Cauchy problem for the $L^2$-critical semilinear heat equations $ \partial_t h=\Delta h\pm |h|^{\frac4d}h, $ with $h(0, x)=h_0$, where $h$ is an unknown real function defined on $ \R^+\times\R^d$.
Analysis of PDEs 35K05, 35B40, 35B65
