Abstract
For a class of semilinear parabolic equations, we prove both global existence and finite-time blow-up depending on the initial datum. The proofs involve tools from the potential-well theory, from the critical-point theory, and from classical comparison principles.
Citation
Filippo Gazzola. "Finite-time blow-up and global solutions for some nonlinear parabolic equations." Differential Integral Equations 17 (9-10) 983 - 1012, 2004. https://doi.org/10.57262/die/1356060311
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