THERMAL SCIENCE
International Scientific Journal
BIHARMONIC HEAT EQUATION WITH GRADIENT NON-LINEARITY ON LP SPACE
ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2021-07-18
PAPER REVISED: 2021-07-25
PAPER ACCEPTED: 2021-07-28
PUBLISHED ONLINE: 2021-12-18
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