P. Martinez

activity

20152024

most citedAnalysis of a two-layer energy balance model: long time behaviour and greenhouse effect

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

collaborators

Showing 2018 · math.OCShow all

2 papers · 2 filters

math.OC2018

Null controllability of parabolic equations with interior degeneracy and one-sided control

Piermarco Cannarsa, Roberto Ferretti, Patrick Martinez

For $α \in (0, 2)$ we study the null controllability of the parabolic operator $P u = u_{t} - (∣ x ∣^{α} u_{x})_{x} (1 < x < 1),$ which degenerates at the interior point $x = 0$ , for…

math.OC2018

The cost of controlling strongly degenerate parabolic equations

Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble

We consider the typical one-dimensional strongly degenerate parabolic operator $P u = u_{t} - (x^{α} u_{x})_{x}$ with $0 < x < ℓ$ and $α \in (0, 2)$ , controlled either by a boundary control actin…