Open AccessBiharmonic heat equation with gradient non-linearity on Lp space
Author(s) -
Nguyen Huu Can,
Le Dinh Long,
Ho Duy Binh,
Nguyen Hoang Luc
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2359c
Subject(s) - biharmonic equation , linearity , banach space , mathematics , heat equation , mathematical analysis , geodetic datum , space (punctuation) , physics , computer science , boundary value problem , geology , geodesy , quantum mechanics , operating system
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.