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

Fujishima, Yohei et al.
arXiv (All) · Papers
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analysis-of-pdes
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
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