## Ioku, Norisuke

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 Author ID: ioku.norisuke Published as: Ioku, Norisuke
 Documents Indexed: 22 Publications since 2009 Co-Authors: 14 Co-Authors with 16 Joint Publications 375 Co-Co-Authors
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### Co-Authors

 6 single-authored 5 Ishiwata, Michinori 3 Fujishima, Yohei 2 Ishige, Kazuhiro 2 Ogawa, Takayoshi 2 Ozawa, Tohru 2 Ruf, Bernhard 2 Terraneo, Elide 2 Yanagida, Eiji 1 Cianchi, Andrea 1 Haque, Md. Rabiul 1 Metafune, Giorgio 1 Sato, Ryuichi 1 Sobajima, Motohiro 1 Spina, Chiara
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### Serials

 3 Differential and Integral Equations 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 1 Archiv der Mathematik 1 Mathematische Annalen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 SN Partial Differential Equations and Applications
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### Fields

 16 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 6 Real functions (26-XX) 2 Operator theory (47-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 183 times in 123 Documents Cited by Year
Sharp remainder of a critical Hardy inequality. Zbl 1347.26035
Ioku, Norisuke; Ishiwata, Michinori; Ozawa, Tohru
2016
The Cauchy problem for heat equations with exponential nonlinearity. Zbl 1233.35108
Ioku, Norisuke
2011
A scale invariant form of a critical Hardy inequality. Zbl 1326.26035
Ioku, Norisuke; Ishiwata, Michinori
2015
Existence and nonexistence of solutions for the heat equation with a superlinear source term. Zbl 1397.35128
Fujishima, Yohei; Ioku, Norisuke
2018
Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in $$\mathbb R^2$$. Zbl 1334.35144
Ioku, Norisuke; Ruf, Bernhard; Terraneo, Elide
2015
Hardy type inequalities in $$L^{p}$$ with sharp remainders. Zbl 1354.26025
Ioku, Norisuke; Ishiwata, Michinori; Ozawa, Tohru
2017
Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups. Zbl 1405.35026
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2015
Sharp decay estimates of $$L^q$$-norms for nonnegative Schrödinger heat semigroups. Zbl 1295.47043
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2013
Sharp Sobolev inequalities in Lorentz spaces for a mean oscillation. Zbl 1312.46039
Ioku, Norisuke
2014
Attainability of the best Sobolev constant in a ball. Zbl 1439.46026
Ioku, Norisuke
2019
A note on the scale invariant structure of critical Hardy inequalities. Zbl 1357.35010
Ioku, Norisuke; Ishiwata, Michinori
2016
$$L^p-L^q$$ estimates for homogeneous operators. Zbl 1334.47043
Ioku, Norisuke; Metafune, Giorgio; Sobajima, Motohiro; Spina, Chiara
2016
Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations. Zbl 1422.35112
Ioku, Norisuke; Ogawa, Takayoshi
2019
Brezis-Merle type inequality for a weak solution to the $$N$$-Laplace equation in Lorentz-Zygmund spaces. Zbl 1240.35209
Ioku, Norisuke
2009
Non-uniqueness for a critical heat equation in two dimensions with singular data. Zbl 1427.35096
Ioku, Norisuke; Ruf, Bernhard; Terraneo, Elide
2019
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2017
Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Zbl 1474.35404
Haque, Md. Rabiul; Ioku, Norisuke; Ogawa, Takayoshi; Sato, Ryuichi
2021
Brezis-Merle type inequality for a heat equation in two dimensions. Zbl 1249.35129
Ioku, Norisuke
2011
Solvability of a semilinear heat equation via a quasi scale invariance. Zbl 1473.35341
Fujishima, Yohei; Ioku, Norisuke
2021
Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Zbl 1474.35404
Haque, Md. Rabiul; Ioku, Norisuke; Ogawa, Takayoshi; Sato, Ryuichi
2021
Solvability of a semilinear heat equation via a quasi scale invariance. Zbl 1473.35341
Fujishima, Yohei; Ioku, Norisuke
2021
Attainability of the best Sobolev constant in a ball. Zbl 1439.46026
Ioku, Norisuke
2019
Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations. Zbl 1422.35112
Ioku, Norisuke; Ogawa, Takayoshi
2019
Non-uniqueness for a critical heat equation in two dimensions with singular data. Zbl 1427.35096
Ioku, Norisuke; Ruf, Bernhard; Terraneo, Elide
2019
Existence and nonexistence of solutions for the heat equation with a superlinear source term. Zbl 1397.35128
Fujishima, Yohei; Ioku, Norisuke
2018
Hardy type inequalities in $$L^{p}$$ with sharp remainders. Zbl 1354.26025
Ioku, Norisuke; Ishiwata, Michinori; Ozawa, Tohru
2017
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2017
Sharp remainder of a critical Hardy inequality. Zbl 1347.26035
Ioku, Norisuke; Ishiwata, Michinori; Ozawa, Tohru
2016
A note on the scale invariant structure of critical Hardy inequalities. Zbl 1357.35010
Ioku, Norisuke; Ishiwata, Michinori
2016
$$L^p-L^q$$ estimates for homogeneous operators. Zbl 1334.47043
Ioku, Norisuke; Metafune, Giorgio; Sobajima, Motohiro; Spina, Chiara
2016
A scale invariant form of a critical Hardy inequality. Zbl 1326.26035
Ioku, Norisuke; Ishiwata, Michinori
2015
Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in $$\mathbb R^2$$. Zbl 1334.35144
Ioku, Norisuke; Ruf, Bernhard; Terraneo, Elide
2015
Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups. Zbl 1405.35026
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2015
Sharp Sobolev inequalities in Lorentz spaces for a mean oscillation. Zbl 1312.46039
Ioku, Norisuke
2014
Sharp decay estimates of $$L^q$$-norms for nonnegative Schrödinger heat semigroups. Zbl 1295.47043
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2013
The Cauchy problem for heat equations with exponential nonlinearity. Zbl 1233.35108
Ioku, Norisuke
2011
Brezis-Merle type inequality for a heat equation in two dimensions. Zbl 1249.35129
Ioku, Norisuke
2011
Brezis-Merle type inequality for a weak solution to the $$N$$-Laplace equation in Lorentz-Zygmund spaces. Zbl 1240.35209
Ioku, Norisuke
2009
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### Cited by 146 Authors

 14 Ioku, Norisuke 10 Nguyen Tuan Duy 8 Ruzhansky, Michael V. 7 Ishige, Kazuhiro 7 Lam, Nguyen 7 Sano, Megumi 6 Ishiwata, Michinori 6 Suragan, Durvudkhan 6 Takahashi, Futoshi 6 Terraneo, Elide 5 Ozawa, Tohru 5 Ruf, Bernhard 5 Saanouni, Tarek 4 Fujishima, Yohei 4 Phi, Le Long 4 Sobajima, Motohiro 4 Suzuki, Masamitsu 3 Boulaaras, Salah Mahmoud 3 Kawakami, Tatsuki 3 Machihara, Shuji 3 Miyamoto, Yasuhito 3 Yang, Dachun 2 Abdelhakim, Ahmed A. 2 Biernat, Paweł 2 Furioli, Giulia 2 Gesztesy, Fritz 2 Liu, Jun 2 Lu, Guozhen 2 Michael, Isaac B. 2 Nguyen Anh Triet 2 Nguyen Huy Tuan 2 Nguyen, Anh-Tuan 2 Pang, Michael M. H. 2 Sani, Federica 2 Tateishi, Yujiro 2 Wadade, Hidemitsu 2 Wakasugi, Yuta 2 Xu, Huiyang 2 Yanagida, Eiji 2 Yessirkegenov, Nurgissa A. 2 Yin, Weijia 2 Yuan, Wen 2 Zhang, Lu 1 Abdalla, Mohamed 1 Alharbi, Asma Olyan M. 1 Allahem, Ali 1 Altybay, Arshyn 1 Angiuli, Luciana 1 Bez, Neal 1 Bidaut-Veron, Marie-Françoise 1 Byeon, Jaeyoung 1 Caraballo Garrido, Tomás 1 Cassano, Biagio 1 Castillo, Ricardo 1 Chen, Hua 1 Cheri, Bahri-Belkacem 1 Cherniha, Roman M. 1 Choucha, Abdelbaki 1 Cossetti, Lucrezia 1 Dai, Huiya 1 de Freitas, Luciana Roze 1 Donninger, Roland 1 Fabricant, Alexander 1 Fanelli, Luca 1 Fang, Zhongbo 1 Fino, Ahmad Z. 1 Ghergu, Marius 1 Giacomoni, Jacques 1 Giraudon, Théo 1 Habibi, Sadaf 1 Hao, Zhiwei 1 He, Ziyi 1 Hisa, Kotaro 1 Horiuchi, Toshio 1 Ibrahim, Slim 1 Iwabuchi, Tsukasa 1 Kikuchi, Hiroaki 1 Kirane, Mokhtar 1 Kubo, Hideo 1 Kutev, Nikolai D. 1 Laister, Robert 1 Laptev, Ari 1 Le Long Phi 1 Li, Libo 1 Littlejohn, Lance L. 1 Liu, Cuncai 1 Liu, Gongwei 1 Loayza, Miguel 1 Lorenzi, Luca 1 Luo, Peng 1 Ma, Lingwei 1 Ma, Shiguang 1 Majdoub, Mohamed 1 Mallick, Arka 1 Matsuyama, Tokio 1 Meng, Fengjuan 1 Metafune, Giorgio 1 Mezouar, Nadia 1 Mizuta, Yoshihiro 1 Mliki, Ezzedine ...and 46 more Authors
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### Cited in 64 Serials

 8 Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 5 Calculus of Variations and Partial Differential Equations 5 Communications in Contemporary Mathematics 5 SN Partial Differential Equations and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical Inequalities & Applications 4 Journal of Evolution Equations 3 Archiv der Mathematik 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems 2 Applicable Analysis 2 Nonlinearity 2 Integral Equations and Operator Theory 2 Mathematische Annalen 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Inequalities and Applications 2 Revista Matemática Complutense 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics Letters 1 Sugaku Expositions 1 Stochastic Processes and their Applications 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Journal of Fourier Analysis and Applications 1 Mathematical Physics, Analysis and Geometry 1 Fractional Calculus & Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Cubo 1 Boundary Value Problems 1 Operators and Matrices 1 Journal of Mathematical Inequalities 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Symmetry 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Evolution Equations and Control Theory 1 Analysis and Geometry in Metric Spaces 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Electronic Research Archive
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### Cited in 17 Fields

 96 Partial differential equations (35-XX) 45 Functional analysis (46-XX) 44 Real functions (26-XX) 7 Topological groups, Lie groups (22-XX) 7 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 4 Potential theory (31-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)