5 citations · 6 across the 6 of their papers we have counts for
6 papers
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells
Arick Shao, Bruno Vergara
We consider heat operators on a bounded domain , with a critically singular potential diverging as the inverse square of the distance to . Whil…
Pointwise decay for radial solutions of the Schrödinger equation with a repulsive Coulomb potential
Adam Black, Ebru Toprak, Bruno Vergara +1
We study the long-time behavior of solutions to the Schrödinger equation with a repulsive Coulomb potential on for spherically symmetric initial data. Our approach i…
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates
Alberto Enciso, Arick Shao, Bruno Vergara
We consider heat operators on a convex domain , with a critically singular potential that diverges as the inverse square of the distance to the boundary of . We establish a g…
Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials
Alberto Enciso, Arick Shao, Bruno Vergara
We establish a new family of Carleman inequalities for wave operators on cylindrical spacetime domains containing a potential that is critically singular, diverging as an inverse s…
Convexity of Whitham's highest cusped wave
Alberto Enciso, Javier Gómez-Serrano, Bruno Vergara
We prove the existence of a periodic traveling wave of extreme form of the Whitham equation that has a convex profile between consecutive stagnation points, at which it is known to…
Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces
Alberto Enciso, María del Mar González, Bruno Vergara
We show that the fractional wave operator, which is usually studied in the context of hypersingular integrals but had not yet appeared in mathematical physics, can be constructed a…