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BLOW-UP PROBLEMS FOR FUJITA-TYPE PARABOLIC SYSTEM INVOLVING TIME-DEPENDENT COEFFICIENTS ON GRAPHS.
- Source :
-
Fractals . 2023, Vol. 31 Issue 4, p1-9. 9p. - Publication Year :
- 2023
-
Abstract
- In this paper, we deal with the blow-up problems for Fujita-type parabolic system involving time-dependent coefficients on graphs. Under appropriate conditions, we prove that the nonnegative solution of the parabolic system blows up in a finite time on finite graphs and locally finite graphs, respectively. The results obtained extend some previous results of [Y. Lin and Y. Wu, Blow-up problems for nonlinear parabolic equations on locally finite graphs, Acta Math. Sci. Ser. B 38(3) (2018) 843–856; Y. Wu, Local existence and blow-up of solutions to Fujita-type equations involving general absorption term on finite graphs, Fractals 30(2) (2022) 2240053]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BLOWING up (Algebraic geometry)
*NONLINEAR equations
*FRACTALS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 31
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 164820576
- Full Text :
- https://doi.org/10.1142/S0218348X23400443