Browsing by Author "Sanz Perela, Tomás"
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De l'equació d'ones a l'afinació del piano: un model basat en la teoria de la dissonància
Sanz Perela, Tomás (Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open AccessEls objectius principals d'aquest treball són l'estudi de les equacions d'ones en cordes i membranes i l'aplicació dels resultats obtinguts a l'afinació del piano. Les cordes del piano tenen un cert grau de rigidesa que ... -
Regularity of radial stable solutions to semilinear elliptic equations for the fractional laplacian
Sanz Perela, Tomás (2018-11-01)
Article
Open Access -
Stable and periodic solutions to nonlinear equations with fractional diffusion
Sanz Perela, Tomás (Universitat Politècnica de Catalunya, 2016-07)
Master thesis
Open AccessThe aim of this thesis is to study stable solutions to nonlinear elliptic equations involving the fractional Lapacian. More precisely, we study the extremal solution for the problem $(\Delta )^s u = \lambda f(u)$ in $\Omega$, ... -
Stable solutions of nonlinear fractional elliptic problems
Sanz Perela, Tomás (Universitat Politècnica de Catalunya, 2019-06-18)
Doctoral thesis
Open AccessThis thesis is devoted to study integro-differential equations. This type of equations constitutes nowadays a very active field of research which has important applications in modeling real-life phenomena where nonlocal ... -
The wave equation for stiff strings and piano tuning
Gràcia Sabaté, Francesc Xavier; Sanz Perela, Tomás (2017)
Article
Open AccessWe study the wave equation for a string with stiffness. We solve the equation and provide a uniqueness theorem with suitable boundary conditions. For a pinned string we compute the spectrum, which is slightly inharmonic. ...