About Me

Tomás Sanz-Perela

PhD Student at UPC

I was born in Barcelona. On September 2016, I started my PhD at the Universitat Politècnica de Catalunya (UPC) under the supervision of Xavier Cabré. I will defend my PhD thesis in June of 2019.

My research interests are elliptic partial differential equations (PDEs) and related topics. In particular, I am interested in
- Reaction-diffusion equations and phase transitions.
- Integro-differential equations.
- Variational problems and regularity of stable solutions.
- Local and nonlocal minimal surfaces.
- Mathematical modeling with PDEs.

For my complete CV, click here.

Research articles

Semilinear integro-differential equations II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation

J.C. Felipe-Navarro and T. Sanz-Perela

Preprint (2019). PDF

Semilinear integro-differential equations I: odd solutions with respect to the Simons cone

J.C. Felipe-Navarro and T. Sanz-Perela

Preprint (2019). PDF

Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation

J.C. Felipe-Navarro and T. Sanz-Perela

Preprint (2018). PDF

Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian

T. Sanz-Perela

Commun. Pure Appl. Anal. 17 (2018), 2547-2575. PDF

The wave equation for stiff strings and piano tuning

X. Gràcia and T. Sanz-Perela

Rep. @SCM 3 (2017), 1-16. PDF

Articles in preparation

L^∞ and BMO estimates for stable solutions to fractional semilinear elliptic equations

X. Cabré and T. Sanz-Perela

“It's still magic even if you know how it's done.”

Terry Pratchett, A Hat Full of Sky

© 2019 Tomás Sanz-Perela