Now showing items 1-10 of 10

• #### A model in price formation ﻿

(Universitat Politècnica de Catalunya, 2014-07)
Master thesis
Open Access
In this thesis a particular example of a price formation model was studied. The model consist of a (large) group of buyers and a (large) group of vendors trading a particular good at a certain price. The model is given by ...
• #### Constant sigma_2-curvature metrics with non isolated singularities ﻿

(Universitat Politècnica de Catalunya, 2016-10)
Master thesis
Restricted access - author's decision
The aim of this thesis is to give a method to produce families of complete Riemannian metrics with positive constant $\sigma_k$-curvature equal to $2^{-k}\binom{n}{k}$ on $M\setminus \Lambda^p$, where $M$ is a Riemannian ...
• #### Equacions de difusió no local: laplacià fraccionari i operadors convolutius ﻿

(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open Access
L objectiu d aquest treball de fi de grau és estudiar dues generalitzacions de l equació de la calor, la primera enlloc d un laplacià té un laplacià fraccionari i la segona un operador de la forma \$Lu = J &#8727; u &#8722; ...
• #### From probability to PDEs : Stochastic differential equations and applications ﻿

(Universitat Politècnica de Catalunya, 2014-07)
Master thesis
Open Access
The goal of this project is to give probabilistic representations of solution of different types of PDEs. In particular, we study the Brownian motion and relate this concept with the solution of linear PDEs. Moreover, we ...
• #### Un Model de formació de preus ﻿

(Universitat Politècnica de Catalunya, 2013-07)
Master thesis (pre-Bologna period)
Open Access
Estudi d'un model de formació de preus mitjançant una equació de difusió amb una frontera lliure desconeguda.. Farem un estudi d'un model proposat per estudiar l'evolució d'un preu en el mercat. És una ecuació de reacció-difusió ...
• #### On the fractional Yamabe problem with isolated singularities and related issues ﻿

(Universitat Politècnica de Catalunya, 2016-12-19)
Doctoral thesis
Open Access
My research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some of the classical local ...
• #### On the Schrödinger’s equation ﻿

(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open Access
In this article we derive the solution to the Schrödinger's equation in one dimension for a simple example, also the solution to the eigenvalue problem in a three dimensional ball, and then apply the results to deduce the ...
• #### Some ODE solutions for the fractional Yamabe problem ﻿

(Universitat Politècnica de Catalunya, 2013-11)
Master thesis
Open Access
We construct some ODE solutins for the fractional Yamabe problem in conformal geometry. The fractional curvature, which is a generalization of the usual scalar curvature, is defined from the conformal fractional Laplacian, ...
• #### The mathematical model of a soap film. Theory of minimal surfaces ﻿

(Universitat Politècnica de Catalunya, 2014-07)
Bachelor thesis
Open Access
This thesis is an introduction to the theory of minimal surfaces. After introducing the basic concepts of functional analysis, variational calculus and theory of surfaces, a theorem existence of nonparametric minimal ...
• #### The Stefan problem ﻿

(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open Access
This bachelor thesis deals with the Stefan problem, from its historical background to the existence and uniqueness of solution to the problem. The physical background is presented at the beginning. Afterwards there are ...