F. Cortez

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20152020

most citedBlowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms

6 citations · 8 across the 3 of their papers we have counts for

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math.AP2019★ 6 cited

Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms

Lorenzo Brandolese, Fernando Cortez

We consider the Cauchy problem of the nonlinear heat equation $u_{t} - Δ u = u^{b}, u (0, x) = u_{0}$ , with $b \geq 2$ and $b \in N$ . We prove that initial data $u_0\in \mathcal{S}(\m…