1,720,960 research outputs found
Inverse Tensor Variational Inequalities and Applications
Full text linkThe paper aims to introduce inverse tensor variational inequalities and analyze their application to an economic control equilibrium model. More precisely, some existence and uniqueness results are established and the well-posedness analysis is investigated. Moreover, the Tikhonov regularization method is extended to tensor inverse problems to study them when they are ill-posed. Lastly, the policymaker's point of view for the oligopolistic market equilibrium problem is introduced. The equivalence between the equilibrium conditions and a suitable inverse tensor variational inequality is established
Operators with gaussian kernel bounds on mixed morrey spaces
Full text linkLet L be an analytic semigroup on L2 (Rn ) with Gaussian kernel bound, and let L− α2 be the fractional operator associated to L for 0 < α < n. In this paper, we prove some boundedness properties for the commutator [b, L− α2 ] on Mixed Morrey spaces Lq,μ(0, T, Lp,λ (Rn )), when b belongs to BMO(Rn ) or to suitable homogeneous Lipschitz spaces
Harnack inequality and asymptotic lower bounds for the relativistic Fokker–Planck operator
Full text linkWe consider a class of second-order degenerate kinetic operators L in the framework of special relativity. We first describe L as a Hörmander operator which is invariant with respect to Lorentz transformations. Then we prove a Lorentz-invariant Harnack type inequality, and we derive accurate asymptotic lower bounds for positive solutions to L f = 0. As a consequence, we obtain a lower bound for the density of the relativistic stochastic process associated with L
Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficients
Full text linkWe prove Lloc∞ estimates for positive solutions to the following degenerate second order partial differential equation of Kolmogorov type with measurable coefficients of the form ∑i,j=1m0∂xjavax.xml.bind.JAXBElement@14c7905daij(x,t)∂xjavax.xml.bind.JAXBElement@41a3b5feu(x,t)+∑i,j=1Nbijxj∂xjavax.xml.bind.JAXBElement@21dceba6u(x,t)−∂tu(x,t)++∑i=1m0bi(x,t)∂iu(x,t)−∑i=1m0∂xjavax.xml.bind.JAXBElement@638b72d3ai(x,t)u(x,t)+c(x,t)u(x,t)=0 where (x,t)=(x1,...,xN,t)=z is a point of RN+1, and 1≤m0≤N. (aij) is a uniformly positive symmetric matrix with bounded measurable coefficients, (bij) is a constant matrix. We apply the Moser's iteration method to prove the local boundedness of the solution u under minimal integrability assumption on the coefficients
partial regularity result for elliptic systems with discontinuous coefficients and Orlicz growth
No full textThis paper is devoted to the study of C0,α-regularity for weak solutions to elliptic systems in divergence form. The model of our interest is −div(μ(x)A(x,Du))=B(x,Du), where the coefficient μ is discontinuous and x∈Ω, with Ω a bounded open subset of Rn. In particular, we assume the matrix A satisfies a G growth condition in Orlicz spaces, and the inhomogeneity B satisfies a controllable, or a critical, growth
Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift
No full textWe consider Kolmogorov-Fokker-Planck equations with unbounded drift terms which are only measurable in time and locally Hölder continuous in space. In particular, we extend the parametrix method to this setting and we prove existence and uniqueness of measure solutions to the associated Cauchy problem, as well as the equivalence with the corresponding stochastic formulation
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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