Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

We study the behaviour of nonnegative solutions to the quasilinear heat equation with a reaction localized in a ball $$ u_t=\Delta u^m+a(x)u^p, $$ for $m>0$, $0

Keywords:

• Heat equation
• Bounded function
• Mathematical analysis
• Pure mathematics
• Mathematics

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