133 citations · 479 across the 74 of their papers we have counts for
82 papers
On the cut locus of Hamilton--Jacobi equations I: structure and propagation via the touching approach
Piermarco Cannarsa, Wei Cheng, Jiahui Hong \and Wenxue Wei
For a semiconcave function with linear modulus, we introduce the cut locus through a touching approach and prove that it coincides with the variational cut locus defined via the La…
Obstacles and Singularities of Riemannian Distance Functions
Paolo Albano, Piermarco Cannarsa, Carlo Sinestrari
We study the distance function from a point target in the complement of a compact obstacle endowed with a smooth Riemannian metric. We prove that the obstacle necessarily generates…
Uniform stabilization for relatively bounded perturbations of generators of semigroup
Shri Lal Raghudev Ram Singh, Piermarco Cannarsa, Roberto Guglielmi
In this paper, we study the robustness of exponential stability for semigroups generated by linear operators under perturbations. Extending a classical result of Gibson's Stability…
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…
Global propagation of singularities for magnetic mechanical systems
Piermarco Cannarsa, Wei Cheng, Jiahui Hong +1
We prove that singularities propagate globally for viscosity solutions of Hamilton-Jacobi equations related to magnetic mechanical systems on closed Riemannian manifolds. Our main…
Reconstruction of degeneracy region and power for parabolic equations and systems
Piermarco Cannarsa, Veronica Danesi, Anna Doubova
We address the inverse problem of recovering a degeneracy point within the diffusion coefficient of a one-dimensional complex parabolic equation by observing the normal derivative…