316 citations · 353 across the 12 of their papers we have counts for
6 papers · 1 filter
Reconstruction of degenerate conductivity region for parabolic equations
Piermarco Cannarsa, Anna Doubova, Masahiro Yamamoto
We consider an inverse problem of reconstructing a degeneracy point in the diffusion coefficient in a one-dimensional parabolic equation by measuring the normal derivative on one s…
Topological and control theoretic properties of Hamilton-Jacobi equations via Lax-Oleinik commutators
Piermarco Cannarsa, Wei Cheng, Jiahui Hong
In the context of weak KAM theory, we discuss the commutators and of Lax-Oleinik operators. We characteriz…
Stability for backward problems in time for degenerate parabolic equations
Piermarco Cannarsa, Masahiro Yamamoto
For solution to degenearte parabolic equations in a bounded domain with homogenous boundary condition, we consider backward problems in time: determine …
Well-posedness of 2D and 3D swimming models in incompressible fluids governed by Navier--Stokes equations
Alexandre Khapalov, Piermarco Cannarsa, Fabio S. Priuli +1
We introduce and investigate the wellposedness of two models describing the self-propelled motion of a "small bio-mimetic swimmer" in the 2D and 3D incompressible fluids modeled by…
Homoclinic orbits and critical points of barrier functions
Piermarco Cannarsa, Wei Cheng
We interpret the close link between the critical points of Mather's barrier functions and minimal homoclinic orbits with respect to the Aubry sets on . We also prove…
Global Propagation of Singularities for Time Dependent Hamilton-Jacobi Equations
Piermarco Cannarsa, Marco Mazzola, Carlo Sinestrari
We investigate the properties of the set of singularities of semiconcave solutions of Hamilton-Jacobi equations of the form \begin{equation*} u_t(t,x)+H(\nabla u(t,x))=0, \qquad\te…