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

Bibliographic Details
Title: GLOBAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY.
Authors: CÖMERT, TUGRUL1 tugrulcomertt@gmail.com, PIŞKIN, ERHAN1 episkin@dicle.edu.tr
Source: Miskolc Mathematical Notes. 2022, Vol. 23 Issue 2, p595-605. 11p.
Subject Terms: *EXISTENCE theorems, *EXPONENTIAL decay law, *DEGENERATE parabolic equations, *BOUNDARY value problems, *NONLINEAR theories
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]
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Database: Academic Search Complete
More Details
ISSN:17872405
DOI:10.18514/MMN.2022.3894
Published in:Miskolc Mathematical Notes
Language:English