Search results for "perro"
showing 10 items of 18 documents
Perron type integral on compact zero-dimensional Abelian groups
2008
Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.
Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
2018
In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.
Perron's method for the porous medium equation
2016
O. Perron introduced his celebrated method for the Dirichlet problem for harmonic functions in 1923. The method produces two solution candidates for given boundary values, an upper solution and a lower solution. A central issue is then to determine when the two solutions are actually the same function. The classical result in this direction is Wiener’s resolutivity theorem: the upper and lower solutions coincide for all continuous boundary values. We discuss the resolutivity theorem and the related notions for the porous medium equation ut −∆u = 0
Testing the stationarity of interest rates using a SUR approach
1998
Abstract Using data on average yields to maturity of German bonds with different time to maturity it is shown that the time series contain a unit root if the standard augmented Dickey–Fuller test is applied separately to each series. To improve the power of the test we carried out a recently developed approach, estimating the regressions for each time to maturity jointly using a seemingly unrelated regressions approach.
Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space
2011
ABSTRACT A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved that it covers the Lebesgue integral.
Medicina animal en la Baja Edad Media hispánica y su relación con la medicina humana: aves, perros y caballos
2013
The high economic and social value of falcons, hounds and horses in the late Middle Ages led to the development of a specialized medical practice to keep them healthy and treat their diseases. A parallel production of technical works coded this medical knowledge, generating a specific doctrinal body. From the analysis of these treatises it is possible to fi nd close relationships with the current medical doctrine –galenism–, that go beyond the sharing of theories on humors and qualities. The importance of maintaining health and the conceptual instruments to achieve this aim, the precedence of diet as a therapeutic tool over drugs or surgery, treating by applying opposite, techniques of humo…
Le «Facezie» di Poggio nel teatro spagnolo del “Siglo de oro”
2022
Un capitolo della fortuna europea del «Liber facetiarum» di Poggio Bracciolini riguarda le rielaborazioni e le riscritture di alcune di esse nelle commedie spagnole del secolo XVII (il cosiddetto “Siglo de oro”). In questo studio, dopo una preliminare ricognizione bibliografica sull’attuale status della ricerca sul «Liber facetiarum», vengono analizzati i modi di riscrittura di tre racconti del Bracciolini (fac. 157, 172, 203) in tre scene di commedie spagnole del XVII secolo, «La dama boba» ed «El perro del hortelano» di Lope de Vega e «Don Gil de las calzas verdes» di Tirso de Molina. A chapter of the European fortune of Poggio Bracciolini’s «Liber facetiarum» concerns the re-elaborations…
Multidimensional dyadic Kurzweil–Henstock- and Perron-type integrals in the theory of Haar and Walsh series
2015
Abstract The problem of recovering the coefficients of rectangular convergent multiple Haar and Walsh series from their sums, by generalized Fourier formulas, is reduced to the one of recovering a function (the primitive) from its derivative with respect to the appropriate derivation basis. Multidimensional dyadic Kurzweil–Henstock- and Perron-type integrals are compared and it is shown that a Perron-type integral, defined by major and minor functions having a special continuity property, solves the coefficients problem for series which are convergent everywhere outside some uniqueness sets.
Nonlinear balayage on metric spaces
2009
We develop a theory of balayage on complete doubling metric measure spaces supporting a Poincaré inequality. In particular, we are interested in continuity and p-harmonicity of the balayage. We also study connections to the obstacle problem. As applications, we characterize regular boundary points and polar sets in terms of balayage. Original Publication:Anders Björn, Jana Björn, Tero Mäkäläinen and Mikko Parviainen, Nonlinear balayage on metric spaces, 2009, Nonlinear Analysis, (71), 5-6, 2153-2171.http://dx.doi.org/10.1016/j.na.2009.01.051Copyright: Elsevier Science B.V., Amsterdam.http://www.elsevier.com/
Comparison of the P-integral with Burkill's integrals and some applications to trigonometric series
2023
It is proved that the $P_r$-integral [9] which recovers a function from its derivative defined in the space $L^r$, 1 ≤r<∞, is properly included in Burkill’s trigonometric CP-and SCP-integrals. As an application to harmonic analysis, a de La Vallée-Poussin-type theorem for the $P_r$-integral is obtained: convergence nearly everywhere of a trigonometric series to a $P_r$-integrable function f implies that this series is the Pr-Fourier series of f.