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20162026
most citedExistence and nonexistence of solutions for the heat equation with a superlinear source term

3 citations · 7 across the 12 of their papers we have counts for

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math.AP2026

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

Yohei Fujishima, Ryoto Ichiya, Norisuke Ioku

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-simi…