Tohoku University · Faculty of Science / Graduate School of Science

Research keywordsHardy inequalities・Sobolev inequalities・Moser-Trudinger inequality・partial differential equations・functional analysis

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• Global in time solvability for a semilinear heat equation without the self-similar structureYohei Fujishima, Norisuke Ioku
• A Scale Invariant Form of a Critical Hardy InequalityNorisuke Ioku, Michinori Ishiwata
• Structure of radial solutions to Hénon type equation on the hyperbolic spaceNorisuke Ioku, Akira Toyoshima
• Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroupsNorisuke Ioku, Kazuhiro Ishige, Eiji Yanagida

• 非線形放物型偏微分方程式の解の特異性と定常問題内藤 雄基, 猪奥 倫左
• 対数型特異性を伴う臨界問題の解析手法開発猪奥 倫左
• 実解析的関数空間で機能する未開拓変分原理の探索高橋 太, 猪奥 倫左, 和田出 秀光, 石渡 通徳
• q-指数関数と一般化三角関数を繋ぐオイラー型関係式猪奥 倫左

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