1 citations · 1 across the 8 of their papers we have counts for
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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…
An interpolation problem in the Denjoy-Carleman classes
Paolo Albano, Marco Mughetti
Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regularity) of a solution of a linear partial differential equation with real-analytic…
On the extension problem for semiconcave functions with fractional modulus
Paolo Albano, Vincenso Basco, Piermarco Cannarsa
Consider a locally Lipschitz function on the closure of a possibly unbounded open subset of with boundary. Suppose is semiconcave on $\overline…
Generation of singularities from the initial datum for Hamilton-Jacobi equations
Paolo Albano, Piermarco Cannarsa, Carlo Sinestrari
We study the generation of singularities from the initial datum for a solution of the Cauchy problem for a class of Hamilton-Jacobi equations of evolution. For such equations, we g…
Analytic Hypoellipticity for Sums of Squares and the Treves Conjecture
Paolo Albano, Antonio Bove, Marco Mughetti
We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this…
Singular gradient flow of the distance function and homotopy equivalence
Paolo Albano, Piermarco Cannarsa, Khai Tien Nguyen +1
It is a generally shared opinion that significant information about the topology of a bounded domain of a riemannian manifold is encoded into the properties of the distance…
Analytic Hypoellipticity in the Presence of Lower Order Terms
Paolo Albano, Antonio Bove, David S. Tartakoff
We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly to order two on a symplectic real analytic manifold. We assume that the first…