International Scientific Journal


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.
PAPER REVISED: 2021-07-25
PAPER ACCEPTED: 2021-07-28
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THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [359 - 365]
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