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Nonradial type II blow up for the energy-supercritical semilinear heat equation

Nonradial type II blow up for the energy-supercritical semilinear heat equation

We consider the semilinear heat equation in large dimension d 11 @ t u D u C juj p 1 u; p D 2q C 1; q 2 ‫;ގ‬ on a smooth bounded domain ‫ޒ‬ d with Dirichlet boundary condition.In the supercritical range p p.d / > 1 C 4 …