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    Various functional inequalities and their applications to the variational problems

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    我々の主要な研究目的は、Sobolev型不等式およびそれらに付随する変分問題を考察することである。具体的な研究成果の1つとして、Adachi-Tanakaによって得られた全空間における斉次Trudinger-Moser型不等式に対し、その最大化関数の存在を示した。一方、全空間におけるTrudinger-Moser型不等式として非斉次の不等式が知られている。Ishiwata (2010)では、同不等式の最大化関数の存在、非存在を考察し、それは次元に大きく影響されることが示された。我々はより一般的なSobolev型汎関数を考え、不等式が持つ斉次性と最大化関数の存在の関係を明らかにした。Our main purpose of the research lies in studying Sobolev type inequalities and the corresponding variational problems. Especially, we concern the critical embeddings which appear in Trudinger-Moser type inequalities, Gagliardo-Nirenberg type interpolation inequalities and so on. In a period of this fund, we investigated the existence of maximizer associated with the Trudinger-Moser type inequalities of the scaling invariant form obtained by Adachi-Tanaka in 1999, and actually proved the existence of a maximizer. On the other hand, it was known that the similar type Trudinger-Moser inequalities on the whole space which do not satisfy the scaling invariance. Ishiwata (2010) proved that the existence of maximizers for this inequality heavily depends on the dimension. Based on this fact, we considered the variational structure and clarified the relation between the scaling invariance and the existence of a maximizer.研究課題/領域番号:24840024, 研究期間(年度):2012-08-31 - 2014-03-31出典:研究課題「実解析学に現れる種々の関数不等式と付随する変分問題への応用」課題番号24840024 (KAKEN:科学研究費助成事業データベース(国立情報学研究所)) (https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-24840024/24840024seika/)を加工して作成research repor

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The 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

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    “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

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    We 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

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    臨界型関数不等式に付随する楕円型偏微分方程式の変分解析

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    (1)応募者のこれまでの主要な研究内容である、(*)Sobolev型埋蔵定理に関連する種々の関数不等式の構築、(**)関数不等式に付随するEuler-Lagrange方程式(楕円型偏微分方程式)の解構造の研究の各々において、具体的な問題解決に取り組んだ。(2)関数不等式を数学的研究対象の基軸として(1) の(*)、(**)は密接に関連することを踏まえ、(*)、(**)の各々において、これまでの研究方法、成果等を見直し、統一的観点から相互的な研究手法を見出すことができた。上記(1)、(2)を主要な研究目的として本研究課題に取り組み、本研究課題の研究機関において、いくつかの論文を執筆した。(1)One of applicant's main research is (*) to establish several functional inequalities concerning Sobolev's embedding theorem, and (**) to investigate the solutions of Euler-Lagrange equations (elliptic partial differential equations) associated with functional inequalities. (2)Another one is to re-consider the relations between themes (*) and (**), and to give a systematic approach for those themes (*) and (**). As a result, applicant succeeded in publishing several academic papers related on the themes (1) and (2).研究課題/領域番号:16K21056, 研究期間(年度)2016-04-01 - 2020-03-31出典:「臨界型関数不等式に付随する楕円型偏微分方程式の変分解析」研究成果報告書 課題番号16K21056 (KAKEN:科学研究費助成事業データベース(国立情報学研究所)) (https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-16K21056/16K21056seika/)を加工して作成金沢大学理工研究域機械工学系research repor

    Author Index

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    koamabayili/VECTRON-author-checklist: VECTRON author checklist

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    We have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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