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math.AP2023
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…
math.AP2023
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…