Bruno Vergara
bruno_vergara_biggio[at]brown.edu
Welcome! I am Tamarkin Assistant Professor in the Math Department at Brown University
Research
My research interests lie in partial differential equations, with an emphasis on problems in fluid mechanics, dispersive and elliptic equations, geometric analysis and mathematical physics.
Publications and preprints
Publications and preprints
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells, with A. Shao. Nonlinear Anal. 248 113624 (2024).
Pointwise decay for radial solutions of the Schrödinger equation with a repulsive Coulomb potential, with A. Black, E. Toprak and J. Zou. ArXiv preprint: 2309.01313 (2023).
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates, with A. Enciso and A. Shao. ArXiv preprint: 2112.04457 (2021).
Carleman estimates with sharp weights and boundary observability for wave equations with critically singular potentials, with A. Enciso and A. Shao. JEMS 23 3459-3495 (2021).
Convexity of Whitham's highest cusped wave, with A. Enciso and J. Gómez-Serrano. ArXiv preprint: 1810.10935 (2018).
Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces, with A. Enciso and M. del Mar González. J. Funct. Anal. 273 2144-2166 (2017).
Seminars
I co-organize the PDE Seminar at Brown.
Teaching
Spring 2024: Math 1120 (Partial Differential Equations) at Brown University
Fall 2023: Math 0180 (Multivariable Calculus) at Brown University
Math 1610 (Probability) at Brown UniversitySpring 2023: Math 0180 (Multivariable Calculus) at Brown University
Fall 2022: Math 0200 (Multivariable Calculus) at Brown University
Math 1610 (Probability) at Brown University