In this paper of Carmen Cortazar, Manuel del Pino, Monica Musso they studied the profile of solutions which blow-up in in-finite time of the critical nonlinear heat equation

in a bounded domain with .

The solutions are shown to have *bubbling type *of behaviour, that means, there exist points in which are the only blow-up points of such a solution.

Moreover, such a solution can be constructed approximately by: let be the *bubble points*, then

where and as .

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Lecturer
School of Applied Mathematics and Informatics
Hanoi University of Science and Technology
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