TY - JOUR
TI - Biharmonic heat equation with gradient non-linearity on Lp space
AU - Can Nguyen Huu
AU - Long Le Dinh
AU - Binh Ho Duy
AU - Luc Nguyen Hoang
JN - Thermal Science
PY - 2021
VL - 25
IS - 102
SP - 359
EP - 365
PT - Article
AB - In this paper, we deal with the biharmonic heat equation with gradient non-linearity. Under the suitable condition of the initial datum, we show that the global unique existence of the mild solution. The main technique in the paper is to use Banach's fixed point theorem in combination with the Lp-Lq evaluation of biharmonic operator.