2 papers
math.AP2019
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…
math.AP2018
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…