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GLOBAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY.

Authors :
CÖMERT, TUGRUL
PIŞKIN, ERHAN
Source :
Miskolc Mathematical Notes. 2022, Vol. 23 Issue 2, p595-605. 11p.
Publication Year :
2022

Abstract

This paper deals with the initial boundary value problem for a higher-order parabolic equation with logarithmic source term ... . By employing the potential wells technique we show the global existence of the weak solution. Also, we obtain the exponential decay for the weak solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17872405
Volume :
23
Issue :
2
Database :
Academic Search Index
Journal :
Miskolc Mathematical Notes
Publication Type :
Academic Journal
Accession number :
161263578
Full Text :
https://doi.org/10.18514/MMN.2022.3894