F. Cortez

activity

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

collaborators

3 papers

math.AP2020★ 2 cited

On the local regularity theory for the MHD equations

D. Chamorro, F. Cortez, Jiao He +1

Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions…

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…

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…