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Regularity results for singular elliptic problems
Loredana Caso
Journal of Function Spaces and Applications , 2006, DOI: 10.1155/2006/797560
Abstract: Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.
Procedural meaning and definite descriptions
Caso,Ramiro;
An??lisis filos?3fico , 2009,
Abstract: the present work explores the possibility of conciliating the truth-conditional relevance of referential uses of definite descriptions with the assignment of a univocal linguistic meaning to these constructions. it is argued that conciliation is possible if we reject the thesis, central to the debate between russellians and ambiguity theorists, according to which referential uses are truth-conditionally relevant if and only if they constitute referential meanings. we sketch a framework within which the denial of that thesis has theoretical content, by drawing on the conceptual resources of relevance theory and on a pragmatic conception of reference, following strawson (1950). the linguistic meaning of definite descriptions is analyzed as a procedural meaning (blakemore 1987) that is semantically underdetermined with respect to both referential and attributive readings, and a pragmatic strategy for understanding this ambiguity is sketched.
Bounds for elliptic operators in weighted spaces
Caso Loredana
Journal of Inequalities and Applications , 2006,
Abstract: Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.
Uniqueness results for elliptic problems with singular data
Caso Loredana
Boundary Value Problems , 2006,
Abstract: We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set without the cone property, and with data depending on appropriate weight functions. The leading coefficients of the elliptic operator are VMO functions. The hypotheses on the other coefficients involve the weight function.
Uniqueness results for elliptic problems with singular data
Loredana Caso
Boundary Value Problems , 2006, DOI: 10.1155/bvp/2006/98923
Abstract: We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set without the cone property, and with data depending on appropriate weight functions. The leading coefficients of the elliptic operator are VMO functions. The hypotheses on the other coefficients involve the weight function.
Tratando de Cambiar Nuestra Manera de Ense ar: Reflexiones Sobre el Aprendizaje en el Aula
Francisco Caso,Susana Sampelayo
Investiga??es em Ensino de Ciências , 1996,
Abstract: This study carried out in the context of a junior high school in the surroundings of Buenos Aires, intended to evaluate the implementation of a meaningful learning model. Such a model assumes that through appropriate instructional strategies it is possible to generate condition that favor students conceptual development, from their own conceptions to conceptually enriched conceptions. The particulate model of a gas, within the air subject, was the topic selected for the students after instruction are presented and discussed.
Cuello blanco, corbata roja
Luis Rius Caso
El Cotidiano , 2006,
Abstract:
Deconstructing the Antlia cluster core
J. P. Caso,T. Richtler
Physics , 2015, DOI: 10.1051/0004-6361/201527136
Abstract: The present literature does not give a satisfactory answer to the question about the nature of the "Antlia galaxy cluster". The radial velocities of galaxies found in the region around the giant ellipticals NGC 3258/3268 range from about 1000 km/s to 4000 km/s. We characterise this region and its possible kinematical and population substructure. We have obtained VLT--VIMOS multi-object spectra of the galaxy population in the inner part of the Antlia cluster and measure radial velocities for 45 potential members. We supplement our galaxy sample with literature data, ending up with 105 galaxy velocities. We find a large radial velocity dispersion for the entire sample as reported in previous papers. However, we find three groups at about 1900 km/s, 2800 km/s, and 3700 km/s, which we interpret as differences in the recession velocities rather than peculiar velocities. The high radial velocity dispersion of galaxies in the Antlia region reflects a considerable extension along the line of sight.
Some Remarks on Spaces of Morrey Type
Loredana Caso,Roberta D'Ambrosio,Sara Monsurrò
Abstract and Applied Analysis , 2010, DOI: 10.1155/2010/242079
Abstract: We deepen the study of some Morrey type spaces, denoted by , defined on an unbounded open subset of . In particular, we construct decompositions for functions belonging to two different subspaces of , which allow us to prove a compactness result for an operator in Sobolev spaces. We also introduce a weighted Morrey type space, settled between the above-mentioned subspaces. 1. Introduction Let be an unbounded open subset of . For and , we consider the space of the functions in such that where is the open ball with center and radius . This space of Morrey type, defined by Transirico et al. in [1], is a generalization of the classical Morrey space and strictly contains when . Its introduction is related to the solvability of certain elliptic problems with discontinuous coefficients in the case of unbounded domains (see e.g., [1–3]). In the first part of this work, we deepen the study of two subspaces of , denoted by and , that can be seen, respectively, as the closure of and in .We start proving some characterization lemmas that allow us to construct suitable decompositions of functions in and . This is done in the spirit of the classical decomposition , proved in [4] by Calderón and Zygmund for , where a given function in is decomposed, for any , in the sum of a part (whose norm can be controlled by and a remaining one . Analogous decompositions can be found also for different functional spaces (see e.g., [5, 6] for decompositions , , and ). The idea of our decomposition, both for a in and , is the following: for any the function can be written as the sum of a “good” part , which is more regular, and of a “bad” part , whose norm can be controlled by means of a continuity modulus of the function itself. Decompositions are useful in different contexts as the proof of interpolation results, norm inequalities and a priori estimates for solutions of boundary value problems. For instance, in the study of several elliptic problems with solutions in Sobolev spaces, it is sometimes necessary to establish regularity results and a priori estimates for a fixed operator . These results often rely on the boundedness and possibly on the compactness of the multiplication operator which entails the estimate where depends on the regularity properties of and on the summability exponents, and is a given function in a normed space satisfying suitable conditions. In some particular cases, this cannot be done for the operator itself, but there is the need to introduce a suitable class of operators , whose coefficients, more regular, approximate the ones of . This “deviation” of
Dysregulation of CXCL9 and reduced tumor growth in Egr-1 deficient mice
Giuseppe Caso, Catherine Barry, Gerald Patejunas
Journal of Hematology & Oncology , 2009, DOI: 10.1186/1756-8722-2-7
Abstract: We injected 106 Lewis lung carcinoma (LLC1) cells subcutaneously in the flank of wild type and Egr-1 knockout mice. The average mass of tumors from wild type mice at 12 days after implantation was 413 +/- 128 mg, while those from Egr-1-/- mice was 219 +/- 81 mg (p = 0.001, mean +/- SD). However, sectioning the tumors and staining with anti-CD31 antibodies revealed no difference in the vascularity of the tumors and there was no difference in angiogenic growth factor expression. Expression of the chemokine Mig (CXCL9) was increased 2.8-fold in tumors from knockout mice, but no increase was found in serum levels of Mig. Natural killer cells have a 1.7-fold greater prevalence in the CD45+ cells found in tumors from Egr-1-/- mice compared to those from wild type mice. Immunohistochemical staining suggests that Mig expression in the tumors comes from invading macrophages.Mice deficient in Egr-1 exhibit reduced growth of LLC1 tumors, and this phenomenon is associated with overexpression of Mig locally within the tumor. There are no obvious differences in tumor vascularity in the knockout mice. Natural killer cells accumulate in the tumors grown in Egr-1-/- mice, providing a potential mechanism for the reduction in growth.Growth of a tumor can be significantly influenced by its interactions with the surrounding stromal tissue. Endothelial and immune system cells that invade the tumor affect its rate of proliferation. Chemokines can act to attract cells of the immune system to the site of tumor growth. Monokine induced by interferon-γ (Mig) [1], also known as CXCL9, is a chemokine that attracts T-cells and natural killer (NK) cells [2]. Mig also has angiostatic properties [3]. Overexpression of Mig in tumors can lead to T-cell accumulation, vascular damage, and tumor regression [4,5].Egr-1 is a zinc-finger transcription factor that is inducible by radiation [6], serum [7], shear stress [8], and other stimuli in a variety of cell types, including tumor cells [9,10]. Previous
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