Exploració per autor "Urtiaga Erneta, Iñigo"
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A Weierstrass extremal field theory for the fractional Laplacian
Cabré Vilagut, Xavier; Urtiaga Erneta, Iñigo; Felipe Navarro, Juan Carlos (De Gruyter, 2023-10-27)
Article
Accés restringit per política de l'editorialIn this paper, we extend, for the first time, part of the Weierstrass extremal field theory in the Calculus of Variations to a nonlocal framework. Our model case is the energy functional for the fractional Laplacian (the ... -
ADVANCED COURSE IN PARTIAL DIFFERENTIAL EQUATIONS (Examen final, 2n quadrimestre)
Mas Blesa, Albert; Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2022-06-07)
Examen
Accés obert -
Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory
Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2023-07-04)
Tesi
Accés obert(English) This PhD dissertation deals with qualitative questions from the theory of elliptic Partial Differential Equations (PDE) and integro-differential equations. We are primarily interested in a distinguished class of ... -
Geometric mechanics and Hamilton-Jacobi theory
Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2017-01)
Treball Final de Grau
Accés obertA review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. ...