Special Session 123: Nonlinear phenomena in elliptic and parabolic equations
Critical norm blow-up rates for the energy supercritical nonlinear heat equation
Tobias Barker
University of Bath England
Co-Author(s): Hideyuki Miura and Jin Takahashi
Abstract:
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.