Edit Profile (opens in new tab) Fujie, Kentaro Co-Author Distance Author ID: fujie.kentaro Published as: Fujie, Kentarou; Fujie, Kentaro; Fujie, Kantarou more...less Further Spellings: 藤江 健太郎 Homepage: http://www.math.tohoku.ac.jp/~fujie/main_eng.html External Links: ORCID · ResearchGate Documents Indexed: 28 Publications since 2014 Co-Authors: 9 Co-Authors with 23 Joint Publications 172 Co-Co-Authors all top 5 Co-Authors 4 single-authored 8 Senba, Takasi 8 Yokota, Tomomi 4 Cieślak, Tomasz 4 Jiang, Jie 3 Winkler, Michael 2 Ito, Akio 1 Bieganowski, Bartosz 1 Ishida, Sachiko 1 Nishiyama, Chihiro all top 5 Serials 3 Nonlinearity 3 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Advances in Mathematical Sciences and Applications 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Mathematica Bohemica 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Mathematics in Engineering Fields 28 Partial differential equations (35-XX) 27 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 674 times in 308 Documents Cited by ▼ Year ▼ Boundedness in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1310.35144Fujie, Kentarou 98 2015 Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou 96 2016 Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1297.35051Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi 54 2014 Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi 51 2015 Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120Fujie, Kentarou; Senba, Takasi 45 2017 Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity. Zbl 1383.35102Fujie, Kentarou; Senba, Takasi 44 2016 Global existence for a kinetic model of pattern formation with density-suppressed motilities. Zbl 1440.35330Fujie, Kentarou; Jiang, Jie 41 2020 Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051Senba, Takasi; Fujie, Kentarou 37 2016 Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044Fujie, Kentarou; Jiang, Jie 32 2021 A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122Fujie, Kentarou; Senba, Takasi 29 2018 Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110Fujie, Kentarou; Ito, Akio; Yokota, Tomomi 28 2014 Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity. Zbl 1354.92009Fujie, Kentarou; Yokota, Tomomi 25 2014 Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149Fujie, Kentarou; Senba, Takasi 23 2019 Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities. Zbl 1478.35035Fujie, Kentaro; Jiang, Jie 18 2021 Large time behavior in a chemotaxis model with nonlinear general diffusion for tumor invasion. Zbl 1423.92021Fujie, Kentarou; Ishida, Sachiko; Yokota, Tomomi 12 2018 Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions. Zbl 1491.35066Fujie, Kentaro; Senba, Takasi 6 2022 Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity \(v^{-1}S(u)\). Zbl 1381.35076Fujie, Kentarou; Nishiyama, Chihiro; Yokota, Tomomi 6 2015 Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475Fujie, Kentaro; Senba, Takasi 5 2022 Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity. Zbl 1349.35005Fujie, Kentarou; Yokota, Tomomi 5 2014 Some remarks on well-posedness of the higher-dimensional chemorepulsion system. Zbl 1437.35116Cieślak, Tomasz; Fujie, Kentarou 4 2019 Global existence and boundedness in a fully parabolic 2D attraction-repulsion system: chemotaxis-dominant case. Zbl 1470.35180Fujie, Kantarou; Suzuki, Takashi 4 2019 No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system. Zbl 1437.35426Cieślak, Tomasz; Fujie, Kentarou 3 2018 Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system. Zbl 1414.35106Bieganowski, Bartosz; Cieślak, Tomasz; Fujie, Kentarou; Senba, Takasi 3 2019 Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity. Zbl 1439.35098Cieślak, Tomasz; Fujie, Kentarou 2 2020 Global asymptotic stability in a chemotaxis-growth model for tumor invasion. Zbl 1439.35059Fujie, Kentarou 2 2020 A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller-Segel systems. Zbl 1496.35076Fujie, Kentaro; Jiang, Jie 1 2022 Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions. Zbl 1491.35066Fujie, Kentaro; Senba, Takasi 6 2022 Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475Fujie, Kentaro; Senba, Takasi 5 2022 A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller-Segel systems. Zbl 1496.35076Fujie, Kentaro; Jiang, Jie 1 2022 Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044Fujie, Kentarou; Jiang, Jie 32 2021 Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities. Zbl 1478.35035Fujie, Kentaro; Jiang, Jie 18 2021 Global existence for a kinetic model of pattern formation with density-suppressed motilities. Zbl 1440.35330Fujie, Kentarou; Jiang, Jie 41 2020 Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity. Zbl 1439.35098Cieślak, Tomasz; Fujie, Kentarou 2 2020 Global asymptotic stability in a chemotaxis-growth model for tumor invasion. Zbl 1439.35059Fujie, Kentarou 2 2020 Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149Fujie, Kentarou; Senba, Takasi 23 2019 Some remarks on well-posedness of the higher-dimensional chemorepulsion system. Zbl 1437.35116Cieślak, Tomasz; Fujie, Kentarou 4 2019 Global existence and boundedness in a fully parabolic 2D attraction-repulsion system: chemotaxis-dominant case. Zbl 1470.35180Fujie, Kantarou; Suzuki, Takashi 4 2019 Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system. Zbl 1414.35106Bieganowski, Bartosz; Cieślak, Tomasz; Fujie, Kentarou; Senba, Takasi 3 2019 A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122Fujie, Kentarou; Senba, Takasi 29 2018 Large time behavior in a chemotaxis model with nonlinear general diffusion for tumor invasion. Zbl 1423.92021Fujie, Kentarou; Ishida, Sachiko; Yokota, Tomomi 12 2018 No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system. Zbl 1437.35426Cieślak, Tomasz; Fujie, Kentarou 3 2018 Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120Fujie, Kentarou; Senba, Takasi 45 2017 Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou 96 2016 Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity. Zbl 1383.35102Fujie, Kentarou; Senba, Takasi 44 2016 Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051Senba, Takasi; Fujie, Kentarou 37 2016 Boundedness in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1310.35144Fujie, Kentarou 98 2015 Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi 51 2015 Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity \(v^{-1}S(u)\). Zbl 1381.35076Fujie, Kentarou; Nishiyama, Chihiro; Yokota, Tomomi 6 2015 Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1297.35051Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi 54 2014 Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110Fujie, Kentarou; Ito, Akio; Yokota, Tomomi 28 2014 Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity. Zbl 1354.92009Fujie, Kentarou; Yokota, Tomomi 25 2014 Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity. Zbl 1349.35005Fujie, Kentarou; Yokota, Tomomi 5 2014 all cited Publications top 5 cited Publications all top 5 Cited by 227 Authors 44 Winkler, Michael 21 Fujie, Kentaro 15 Yokota, Tomomi 15 Zheng, Pan 12 Jin, Haiyang 12 Lankeit, Johannes 12 Mu, Chunlai 11 Liu, Bin 10 Jiang, Jie 10 Ren, Guoqiang 10 Wang, Liangchen 10 Wang, Zhian 10 Xiang, Tian 9 Tao, Youshan 8 Mizukami, Masaaki 7 Wang, Wei 7 Zhao, Xiangdong 7 Zheng, Jiashan 6 Zhang, Wenji 5 Black, Tobias 5 Dai, Feng 5 Ishida, Sachiko 5 Ito, Akio 5 Li, Dan 5 Liu, Suying 5 Lyu, Wenbin 5 Senba, Takasi 5 Wang, Yifu 5 Wu, Sainan 5 Yoon, Changwook 5 Zheng, Sining 4 Ahn, Jaewook 4 Chiyo, Yutaro 4 Laurençot, Philippe 4 Lin, Ke 4 Liu, Ji 4 Liu, Zhengrong 4 Qiu, Shuyan 4 Shen, Wenxian 4 Shi, Shijie 4 Tu, Xinyu 4 Viglialoro, Giuseppe 4 Xiang, Zhaoyin 4 Zhao, Jie 3 Bellomo, Nicola 3 Cieślak, Tomasz 3 Ding, Mengyao 3 Fuest, Mario 3 Jia, Zhe 3 Kim, Yongjung 3 Kurt, Halil Ibrahim 3 Lee, Jihoon 3 Trescases, Ariane 3 Wang, Yulan 3 Wu, Boying 3 Wu, Jie 3 Xiang, Ailing 3 Xiang, Yuting 3 Xing, Jie 3 Yang, Zuodong 2 Arumugam, Gurusamy 2 Bai, Xueli 2 Bellouquid, Abdelghani 2 Chu, Jiawei 2 Dai, Binxiang 2 Desvillettes, Laurent 2 Dong, Ying 2 Fu, Shengmao 2 Hu, Xuegang 2 Jin, Chunhua 2 Kang, Kyungkeun 2 Karthikeyan, Shanmugasundaram 2 Ke, Yuanyuan 2 Lankeit, Elisa 2 Li, Jing 2 Li, Xie 2 Li, Yan 2 Li, Zhongping 2 Liu, Aichao 2 Liu, Meng 2 Nagai, Toshitaka 2 Negreanu, Mihaela 2 Niu, Pengcheng 2 Pang, Peter Y. H. 2 Peng, Yingping 2 Sathishkumar, Govindharaju 2 Seki, Yukihiro 2 Shangerganesh, Lingeshwaran 2 Shi, Junping 2 Wang, Jianping 2 Wang, Mingxin 2 Wang, Qi 2 Willie, Robert 2 Wu, Chun 2 Wu, Chunyan 2 Xie, Jianing 2 Xie, Li 2 Yamada, Tetsuya 2 Ye, Xiaobing 2 Yin, Jingxue ...and 127 more Authors all top 5 Cited in 71 Serials 47 Journal of Differential Equations 30 Journal of Mathematical Analysis and Applications 25 Nonlinear Analysis. Real World Applications 22 Discrete and Continuous Dynamical Systems. Series B 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Nonlinearity 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Acta Applicandae Mathematicae 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Applied Mathematics Letters 8 Calculus of Variations and Partial Differential Equations 8 Discrete and Continuous Dynamical Systems 6 Applicable Analysis 6 Journal of Mathematical Physics 6 Discrete and Continuous Dynamical Systems. Series S 4 Mathematical Biosciences and Engineering 3 Computers & Mathematics with Applications 3 European Journal of Applied Mathematics 3 Communications in Partial Differential Equations 3 Journal of Evolution Equations 3 Electronic Research Archive 2 Mathematical Methods in the Applied Sciences 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 SIAM Journal on Mathematical Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications on Pure and Applied Analysis 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hokkaido Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 SIAM Journal on Applied Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Communications in Contemporary Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems 1 Kinetic and Related Models 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Journal of Mathematical Research with Applications 1 Advances in Nonlinear Analysis 1 Journal of Applied Nonlinear Dynamics 1 East Asian Journal on Applied Mathematics 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 La Matematica 1 Communications in Mathematical Analysis and Applications all top 5 Cited in 11 Fields 302 Partial differential equations (35-XX) 279 Biology and other natural sciences (92-XX) 10 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) Citations by Year