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.AP2015

Slowly Oscillating Solution of the Cubic Heat Equation

Fernando Cortez

In this paper, we are considering the Cauchy problem of the nonlinear heat equation $u_t - Δ u = u^{3}, u (0, x) = u_0$ . After extending Y. Meyer's result establishing the existence o…