16 citations · 23 across the 5 of their papers we have counts for
6 papers
Comparison principles and long time behavior for a diffusive Energy Balance Model with vertical resolution
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer one-dimensional energy balance model, which allows for vertical energy exchanges between a surface layer and the atmosphere, as well as meridional energy trans…
Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the…
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 where …
The cost of controlling strongly degenerate parabolic equations
Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble
We consider the typical one-dimensional strongly degenerate parabolic operator with and , controlled either by a boundary control actin…
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…
The cost of controlling degenerate parabolic equations by boundary controls
Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble
We consider the one-dimensional degenerate parabolic equation controlled by a boundary force acting at the degeneracy poin…