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We prove existence and uniqueness of entropy solutions for the Cauchy problem for the quasilinear parabolic equation $u_t = \div \, \a(u,Du)$, where $\a(z,\xi) = \nabla_\xi f(z,\xi)$, and $f$ is a… (More)
We summarize in this paper some of our recent results about the Minimizing Total Variation Flow, which have been mainly motivated by problems arising in Image Processing. First, we recall the role… (More)
We introduce a new concept of solution for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. Using Kruzhkov's method of… (More)
En este trabajo se han estudiado, mediante la tecnica FTIR/HATR (espectroscopia de infrarrojo con transformada de Fourier utilizando un accesorio horizontal de Reflexion Total Atenuada), los cambios… (More)
El objetivo del estudio es determinar la influencia del antioxidante IPPD (N-isopropil-N�-fenil-p-fenilendiamina) en elastomeros NBR, cuando se someten a procesos de degradacion termooxidativa a 140… (More)
We summarize in this paper some of our recent results on limited flux diffusion equations. These equations have been introduced to correct the infinite speed of propagation predicted by the classical… (More)