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Critical norm blow-up rates for the energy supercritical nonlinear heat equation

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  • UserTobias Barker (University of Bath) Speaker website
  • ClockMonday 09 June 2025, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Giacomo Ageno .

We study the behavior of the scaling critical Lebesgue norm for blow-up solutions to the nonlinear heat equation (the Fujita equation). For the energy supercritical nonlinearity, we give estimates of the blow-up rate for the critical norm. This is based on joint work with Jin Takahashi (Institute of Science Tokyo) and Hideyuki Miura (Institute of Science Tokyo).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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