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We consider a nonlocal parabolic PDE, which may be regarded as the standardsemilinear heat equation with power nonlinearity, where the nonlinear term isdivided by some Sobolev norm of the solution. In this paper, we are interestedin constructing blowup solutions under some critical regimes. We had a completenew phenomenon of the blowup speed with a log correction term.

Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters