Author

Y. Fujishima

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Preprint Oct 2026

Nondegeneracy and asymptotic behavior of type I blow-up for semilinear heat equations with general nonlinearities

We study the local asymptotic behavior of nonnegative type I blow-up solutions to semilinear heat equations with nonlinearities that need not be scale invariant. Using a quasi-similarity transformation adapted to the associated ordinary differential equation, we establish locally uniform convergence to a constant profi...

Y. Fujishima, Ryoto Ichiya, Norisuke Ioku · 0 citations