Tomás Sanz Perela
I was born in Barcelona in 1993. I obtained my Bachelor’s degree in Mathematics in 2015 at the Universitat Politècnica de Catalunya (UPC). My thesis was about the modeling of a piano string with PDEs and the application of some results to piano tuning. This work was under the supervision of Xavier Gràcia (UPC) and it complemented my studies in music (piano and percussion) at the Conservatori Municipal de Barcelona.
On July 2016, I finished my Master’s degree in Advanced Mathematics and Mathematical Engineering at UPC with a thesis on the regularity of stable solutions to nonlinear equations with fractional diffusion in radial domains, supervised by Xavier Cabré (ICREA-UPC).
On September 2016 I started my PhD at the Universitat Politècnica de Catalunya under the supervision of Xavier Cabré. Currently I am working on the regularity of stable solutions to nonlocal equations.
Stable solutions of nonlinear fractional elliptic problems
J.C. Felipe-Navarro and T. Sanz-Perela, Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation (2018).
T. Sanz-Perela, Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian. Commun. Pure Appl. Anal. 17 (2018), 2547-2575.
X. Gràcia and T. Sanz-Perela, The wave equation for stiff strings and piano tuning. Rep. @SCM 3 (2017), 1-16.