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
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2359C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [359 - 365]
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© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence