| Abstract: |
| We study the behavior of the scaling critical Lebesgue norm for blow-up solutions to a nonlinear heat equation (the Fujita equation). For the Sobolev supercritical nonlinearity, we show that the critical norm also blows up. Moreover, we give estimates of the blow-up rate for the critical norm. This talk is based on a joint work with Tobias Barker (University of Bath) and Hideyuki Miura (Institute of Science Tokyo). |
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