9 papers
Sharp regularity results for eikonal equations in Banach spaces
Trí Minh Lê, Sebastián Tapia-García
Viscosity solutions of eikonal equations need not enjoy regularity beyond Lipschitz continuity. In contrast, differentiable solutions exhibit stronger structural properties. In the…
Invariant subspaces for free linearizations of Lipschitz maps
Clément Coine, Pedro L. Kaufmann, Colin Petitjean +1
We consider the invariant subspace problem for operators induced by Lipschitz self-maps on Lipschitz-free spaces. Besides the usual free linearizations of basepoint-pr…
Determination of (unbounded) convex functions via Crandall-Pazy directions
Aris Daniilidis, David Salas, Sebastián Tapia-García
It has been recently discovered that a convex function can be determined by its slopes and its infimum value, provided this latter is finite. The result was extended to nonconvex f…
On (discounted) global Eikonal equations in metric spaces
Trí Minh Lê, Sebastián Tapia-García
Eikonal equations in metric spaces have strong connections with the local slope operator (or the De Giorgi slope). In this manuscript, we explore and delve into an analogous model…
A slope generalization of Attouch theorem
Aris Daniilidis, David Salas, Sebastián Tapia-García
A classical result of variational analysis, known as Attouch theorem, establishes the equivalence between epigraphical convergence of a sequence of proper convex lower semicontinuo…
Recurrence and vectors escaping to infinity for Lipschitz operators
Sebastián Tapia-García
We investigate dynamical properties of linear operators that are obtained as the linearization of Lipschitz self-maps defined on a pointed metric space. These operators are known a…
Cyclicity of composition operators on the Fock space
Frédéric Bayart, Sebastián Tapia-García
In this paper we provide a full characterization of cyclic composition operators defined on the d-dimensional Fock space in terms of their symbol. Also, w…
Desingularization of the Sweeping Process Mapping
Aris Daniilidis, Sebastián Tapia-García
In [9], the celebrated KŁ-inequality has been extended from definable functions to definable multivalued maps $S:\mathbb{R}\rightrightarrow…
An epsilon-hypercyclicity criterion and its application on classical Banach spaces
Sebastián Tapia-García
We provide a criterion for -hypercyclicity. Also, we extend the ideas of Badea, Grivaux, Müller and Bayart to construct -hypercyclic operators which are n…