Juan Carlos Felipe Navarro
I was born in Albacete (Spain) in 1993.
I obtained my Bachelor’s double degree in Mathematics and Aerospace Engineering from Centre de Formació Interdisciplinària Superior (CFIS) at Universitat Politècnica de Catalunya (UPC) in 2016. During this stage, I focused my interests on Partial Differential Equations (PDE). Then, I started working on this topic in my Bachelor's Thesis: "Periodic solutions to PDEs with fractional diffusion", advised by Prof. Xavier Cabré (ICREA-UPC).
One year later, I obtained my Master’s degree in Advanced Mathematics and Mathematical Engineering at UPC, and I continued working on PDEs in my Master's Thesis "A Liouville type result for fractional Schrödinger operators in 1D".
Since May 2017, I am PhD student at UPC under the supervision of Prof. Xavier Cabré. My research is mainly focused on the study of qualitative properties of solutions to integro-differential equations.
J.C. Felipe-Navarro and T. Sanz-Perela, Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation. (2018)