Exploració per autor "Sanz Perela, Tomás"
Ara es mostren els items 1-7 de 7
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A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations
Cabré Vilagut, Xavier; Sanz Perela, Tomás (2022-04-25)
Article
Accés restringit per política de l'editorialWe study stable solutions to the equation , posed in a bounded domain of . For nonnegative convex nonlinearities, we prove that stable solutions are smooth in dimensions . This result, which was known only for , follows ... -
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)
Treball Final de Grau
Accés obertEls 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 ... -
Eigenvalue curves for generalized MIT bag models
Arrizabalaga, Naiara; Mas Blesa, Albert; Sanz Perela, Tomás; Vega González, Luis (Springer Nature, 2022-11-22)
Article
Accés obertWe study spectral properties of Dirac operators on bounded domains O¿R3 with boundary conditions of electrostatic and Lorentz scalar type and which depend on a parameter t¿R; the case t=0 corresponds to the MIT bag model. ... -
Regularity of radial stable solutions to semilinear elliptic equations for the fractional laplacian
Sanz Perela, Tomás (2018-11-01)
Article
Accés obert -
Stable and periodic solutions to nonlinear equations with fractional diffusion
Sanz Perela, Tomás (Universitat Politècnica de Catalunya, 2016-07)
Projecte Final de Màster Oficial
Accés obertThe 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)
Tesi
Accés obertThis 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
Accés obertWe 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. ...