Threshold results of blow-up solutions to Kirchhoff equations with variable sources
DOI:
https://doi.org/10.24193/subbmath.2025.3.09Keywords:
Kirchhoff, potential well method, arbitrary initial energy, blow-up, bounds of the blow-up time, Lp(.)(Ω) Sobolev spaceAbstract
This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper bounds for blow-up time across various initial energy cases.
Mathematics Subject Classification (2010): 35B40, 35B44, 35K55
Received 17 February 2025; Accepted 01 June 2025.
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