Bruno Vergara

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

• 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).

• Spring 2024: Math 1120 (Partial Differential Equations) at Brown University

• Fall 2023: Math 0180 (Multivariable Calculus) at Brown University
  Math 1610 (Probability) at Brown University

• Spring 2023: Math 0180 (Multivariable Calculus) at Brown University

• Fall 2022: Math 0200 (Multivariable Calculus) at Brown University
  Math 1610 (Probability) at Brown University