J. Vancostenoble

activity

20172020

most citedExistence and cost of boundary controls for a degenerate/singular parabolic equation

16 citations · 16 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2020★ 16 cited

Existence and cost of boundary controls for a degenerate/singular parabolic equation

Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble

In this paper, we consider the following degenerate/singular parabolic equation $u_{t} - (x^{α} u_{x})_{x} - \frac{μ}{x ^{2 - α}} u = 0, x \in (0, 1), t \in (0, T),$ where $0 \leq α < 1$ …

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…

math.OC2017

Precise estimates for biorthogonal families under asymptotic gap conditions

Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble

A classical and useful way to study controllability problems is the moment method developed by Fattorini-Russell, based on the construction of suitable biorthogonal families. Sever…