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BLOW-UP OF WEAK SOLUTIONS FOR A HIGHER-ORDER HEAT EQUATION WITH LOGARITHMIC NONLINEARITY.
- Source :
-
Miskolc Mathematical Notes . 2023, Vol. 24 Issue 2, p749-762. 14p. - Publication Year :
- 2023
-
Abstract
- This paper deal with the initial boundary value problem for a higher-order heat equation with logarithmic source term ut + (−∆)mu − ∆ut = uk−2u ln |u| . We obtain blow-up of weak solutions in the finite time, by employing potential well technique and concave technique. In addition, the upper bound of blow-up time is considered. This improves and extends some previous studies. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HEAT equation
*INTEGERS
*LOGARITHMS
*ALGEBRA
*BOUNDARY value problems
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 24
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 170068741
- Full Text :
- https://doi.org/10.18514/MMN.2023.4014