Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential

Erhan Pişkin; Ayşe Fidan; Jorge Ferreira; Mohammad Shahrouzi

doi:10.56754/0719-0646.2801.079

DOI:

https://doi.org/10.56754/0719-0646.2801.079

Abstract

In this work, we consider the higher-order reaction-diffusion parabolic problem with time dependent coefficient. We prove the blow-up of solutions and obtain a lower and an upper bound for the blow-up time. Finally, we investigate the existence of a global weak solution to the problem.

Keywords

Blow-up , higher-order , singular potential , global existence , reaction-diffusion

Mathematics Subject Classification:

35B44 , 35K25 , 35K67

Erhan Pişkin Dicle University, Department of Mathematics Diyarbakır, Turkey. https://orcid.org/0000-0001-6587-4479
Ayşe Fidan Dicle University, Institute of Natural and Applied Sciences Department of Mathematics Diyarbakır, Turkey. https://orcid.org/0000-0001-6988-8333
Jorge Ferreira Federal Fluminense University, Department of Exact Sciences Volta Redonda, Brazil. https://orcid.org/0000-0002-3209-7439
Mohammad Shahrouzi Jahrom University, Department of Mathematics, Jahrom, Iran. https://orcid.org/0000-0001-9308-0115

Pages: 79–97
Date Published: 2026-01-22
Vol. 28 No. 1 (2026)

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