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Author ID: senba.takasi Recent zbMATH articles by "Senba, Takasi"
Published as: Senba, Takasi

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 1,174 times in 685 Documents Cited by Year
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Zbl 0901.35104
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
401
1997
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010
Nagai, Toshitaka; Senba, Takasi
77
1998
Parabolic system of chemotaxis: Blowup in a finite and the infinite time. Zbl 1056.92007
Senba, Takasi; Suzuki, Takashi
75
2001
Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
64
2000
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
47
2001
Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity. Zbl 1383.35102
Fujie, Kentarou; Senba, Takasi
42
2016
A quasi-linear parabolic system of chemotaxis. Zbl 1134.35059
Senba, Takasi; Suzuki, Takasi
40
2006
Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120
Fujie, Kentarou; Senba, Takasi
39
2017
Weak solutions to a parabolic-elliptic system of chemotaxis. Zbl 1005.35026
Senba, Takasi; Suzuki, Takashi
34
2002
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
33
2016
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
32
2000
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122
Fujie, Kentarou; Senba, Takasi
26
2018
Blowup behavior of radial solutions to Jäger-Luckhaus system in high dimensional domains. Zbl 1116.35065
Senba, Takasi
22
2005
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014
Nagai, Toshitaka; Senba, Takasi
22
1997
Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
20
1997
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149
Fujie, Kentarou; Senba, Takasi
19
2019
Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains. Zbl 1114.35090
Senba, Takasi
16
2007
Applied analysis. Mathematical methods in natural science. Zbl 1053.00001
Senba, Takasi; Suzuki, Takashi
14
2004
Type-II blowup of solutions to an elliptic-parabolic system. Zbl 1147.35013
Mizoguchi, Noriko; Senba, Takasi
13
2007
Applied analysis. Mathematical methods in natural science. 2nd ed. Zbl 1228.00004
Suzuki, Takashi; Senba, Takasi
12
2011
Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131
Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi
11
2011
On some nonlinear evolution equation. Zbl 0627.35045
Senba, Takasi
11
1986
Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis. Zbl 0877.35022
Senba, Takasi
10
1997
Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces. Zbl 1172.35003
Senba, Takasi
9
2009
Local and norm behavior of blowup solutions to a parabolic system of chemotaxis. Zbl 0967.35011
Senba, Takasi; Suzuki, Takashi
8
2000
Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis. Zbl 1009.35043
Harada, Go; Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
7
2001
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
6
2011
Blowup in infinite time in the simplified system of chemotaxis. Zbl 1145.35039
Ohtsuka, Hiroshi; Senba, Takasi; Suzuki, Takashi
6
2007
Grow-up rate of a radial solution for a parabolic-elliptic system in \(\mathbb{R}^2\). Zbl 1182.35054
Senba, Takasi
6
2009
A sufficient condition for type I blowup in a parabolic-elliptic system. Zbl 1218.35049
Mizoguchi, Noriko; Senba, Takasi
5
2011
A fast blowup solution to an elliptic-parabolic system related to chemotaxis. Zbl 1154.35058
Senba, Takasi
5
2006
Dirichlet problem for a semilinear elliptic equation with singular coefficient. Zbl 0711.35048
Senba, Takasi; Ebihara, Yukiyoshi; Furusho, Yasuhiro
5
1990
Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space. Zbl 1267.35049
Naito, Yūki; Senba, Takasi
5
2013
Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains. Zbl 1248.35029
Naito, Yūki; Senba, Takasi
4
2012
Blowup behavior of solutions to the rescaled Jäger-Luckhaus system. Zbl 1035.35007
Senba, Takasi; Suzuki, Takashi
4
2003
Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state. Zbl 1411.35175
Naito, Yūki; Senba, Takasi
3
2019
Behavior of solutions to a system related to chemotaxis. Zbl 1042.35556
Senba, Takasi; Suzuki, Takashi
3
2001
Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system. Zbl 1414.35106
Bieganowski, Bartosz; Cieślak, Tomasz; Fujie, Kentarou; Senba, Takasi
2
2019
On the support properties of solutions for some degenerate quasilinear parabolic systems. Zbl 0707.35008
Senba, Takasi
2
1990
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0957.92500
Senba, Takasi; Suzuki, Takashi
2
1999
Time global solutions to a parabolic-elliptic system modelling chemotaxis. Zbl 1060.92016
Senba, Takasi; Suzuki, Takashi
2
2002
Concentration behavior of blow-up solutions for a simplified system of chemotaxis. Zbl 0985.35507
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
2
2001
Self-similar blow-up for a chemotaxis system in higher dimensional domains. Zbl 1196.35059
Naito, Yūki; Senba, Takasi
2
2009
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions. Zbl 1491.35066
Fujie, Kentaro; Senba, Takasi
2
2022
On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1348.35036
Efendiev, Messoud; Zhigun, Anna; Senba, Takasi
1
2014
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0931.35185
Nagai, Toshitaka; Senba, Takasi
1
1996
Chemotactic collapse of radial solutions to Jäger-Luckhaus system. Zbl 1065.35066
Senba, Takasi; Suzuki, Takashi
1
2004
Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475
Fujie, Kentaro; Senba, Takasi
1
2022
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions. Zbl 1491.35066
Fujie, Kentaro; Senba, Takasi
2
2022
Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475
Fujie, Kentaro; Senba, Takasi
1
2022
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149
Fujie, Kentarou; Senba, Takasi
19
2019
Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state. Zbl 1411.35175
Naito, Yūki; Senba, Takasi
3
2019
Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system. Zbl 1414.35106
Bieganowski, Bartosz; Cieślak, Tomasz; Fujie, Kentarou; Senba, Takasi
2
2019
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122
Fujie, Kentarou; Senba, Takasi
26
2018
Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120
Fujie, Kentarou; Senba, Takasi
39
2017
Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity. Zbl 1383.35102
Fujie, Kentarou; Senba, Takasi
42
2016
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
33
2016
On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1348.35036
Efendiev, Messoud; Zhigun, Anna; Senba, Takasi
1
2014
Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space. Zbl 1267.35049
Naito, Yūki; Senba, Takasi
5
2013
Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains. Zbl 1248.35029
Naito, Yūki; Senba, Takasi
4
2012
Applied analysis. Mathematical methods in natural science. 2nd ed. Zbl 1228.00004
Suzuki, Takashi; Senba, Takasi
12
2011
Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131
Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi
11
2011
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
6
2011
A sufficient condition for type I blowup in a parabolic-elliptic system. Zbl 1218.35049
Mizoguchi, Noriko; Senba, Takasi
5
2011
Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces. Zbl 1172.35003
Senba, Takasi
9
2009
Grow-up rate of a radial solution for a parabolic-elliptic system in \(\mathbb{R}^2\). Zbl 1182.35054
Senba, Takasi
6
2009
Self-similar blow-up for a chemotaxis system in higher dimensional domains. Zbl 1196.35059
Naito, Yūki; Senba, Takasi
2
2009
Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains. Zbl 1114.35090
Senba, Takasi
16
2007
Type-II blowup of solutions to an elliptic-parabolic system. Zbl 1147.35013
Mizoguchi, Noriko; Senba, Takasi
13
2007
Blowup in infinite time in the simplified system of chemotaxis. Zbl 1145.35039
Ohtsuka, Hiroshi; Senba, Takasi; Suzuki, Takashi
6
2007
A quasi-linear parabolic system of chemotaxis. Zbl 1134.35059
Senba, Takasi; Suzuki, Takasi
40
2006
A fast blowup solution to an elliptic-parabolic system related to chemotaxis. Zbl 1154.35058
Senba, Takasi
5
2006
Blowup behavior of radial solutions to Jäger-Luckhaus system in high dimensional domains. Zbl 1116.35065
Senba, Takasi
22
2005
Applied analysis. Mathematical methods in natural science. Zbl 1053.00001
Senba, Takasi; Suzuki, Takashi
14
2004
Chemotactic collapse of radial solutions to Jäger-Luckhaus system. Zbl 1065.35066
Senba, Takasi; Suzuki, Takashi
1
2004
Blowup behavior of solutions to the rescaled Jäger-Luckhaus system. Zbl 1035.35007
Senba, Takasi; Suzuki, Takashi
4
2003
Weak solutions to a parabolic-elliptic system of chemotaxis. Zbl 1005.35026
Senba, Takasi; Suzuki, Takashi
34
2002
Time global solutions to a parabolic-elliptic system modelling chemotaxis. Zbl 1060.92016
Senba, Takasi; Suzuki, Takashi
2
2002
Parabolic system of chemotaxis: Blowup in a finite and the infinite time. Zbl 1056.92007
Senba, Takasi; Suzuki, Takashi
75
2001
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
47
2001
Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis. Zbl 1009.35043
Harada, Go; Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
7
2001
Behavior of solutions to a system related to chemotaxis. Zbl 1042.35556
Senba, Takasi; Suzuki, Takashi
3
2001
Concentration behavior of blow-up solutions for a simplified system of chemotaxis. Zbl 0985.35507
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
2
2001
Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
64
2000
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
32
2000
Local and norm behavior of blowup solutions to a parabolic system of chemotaxis. Zbl 0967.35011
Senba, Takasi; Suzuki, Takashi
8
2000
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0957.92500
Senba, Takasi; Suzuki, Takashi
2
1999
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010
Nagai, Toshitaka; Senba, Takasi
77
1998
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Zbl 0901.35104
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
401
1997
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014
Nagai, Toshitaka; Senba, Takasi
22
1997
Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
20
1997
Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis. Zbl 0877.35022
Senba, Takasi
10
1997
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0931.35185
Nagai, Toshitaka; Senba, Takasi
1
1996
Dirichlet problem for a semilinear elliptic equation with singular coefficient. Zbl 0711.35048
Senba, Takasi; Ebihara, Yukiyoshi; Furusho, Yasuhiro
5
1990
On the support properties of solutions for some degenerate quasilinear parabolic systems. Zbl 0707.35008
Senba, Takasi
2
1990
On some nonlinear evolution equation. Zbl 0627.35045
Senba, Takasi
11
1986
all top 5

Cited by 579 Authors

61 Winkler, Michael
29 Mu, Chunlai
21 Liu, Bin
21 Ren, Guoqiang
19 Fujie, Kentaro
19 Yokota, Tomomi
16 Jin, Haiyang
16 Wang, Wei
16 Zheng, Sining
15 Lankeit, Johannes
15 Lin, Ke
14 Ogawa, Takayoshi
14 Shen, Wenxian
14 Xiang, Tian
13 Senba, Takasi
13 Tao, Youshan
13 Zheng, Pan
11 Sugiyama, Yoshie
11 Suzuki, Takashi
11 Zheng, Jiashan
10 Cieślak, Tomasz
10 Jiang, Jie
10 Laurençot, Philippe
10 Mizoguchi, Noriko
10 Wang, Zhian
10 Zhao, Jie
9 Ishida, Sachiko
9 Mizukami, Masaaki
9 Wang, Liangchen
8 Fuest, Mario
8 Nagai, Toshitaka
8 Qiu, Shuyan
8 Salako, Rachidi Bolaji
8 Xiang, Zhaoyin
7 Ding, Mengyao
7 Li, Dan
7 Li, Zhongping
7 Perthame, Benoît
6 Akagi, Goro
6 Biler, Piotr
6 Black, Tobias
6 Kang, Kyungkeun
6 Tu, Xinyu
6 Wang, Qi
6 Wu, Sainan
6 Yu, Hao
6 Zhang, Wenji
6 Zhao, Xiangdong
5 Baghaei, Khadijeh
5 Cao, Xinru
5 Hillen, Thomas
5 Kozono, Hideo
5 Kurokiba, Masaki
5 Liu, Suying
5 Osaki, Koichi
5 Pan, Xu
5 Stinner, Christian
5 Xing, Jie
4 Ahn, Jaewook
4 Bonheure, Denis
4 Castéras, Jean-baptiste
4 He, Siming
4 Horstmann, Dirk
4 Jin, Chunhua
4 Khelghati, Ali
4 Lee, Jihoon
4 Li, Xie
4 Li, Yan
4 Seki, Yukihiro
4 Wakui, Hiroshi
4 Wang, Yulan
4 Yamada, Tetsuya
4 Yamamoto, Masakazu
4 Yi, Hong
4 Zhigun, Anna
4 Zhong, Hua
3 Blanchet, Adrien
3 Braukhoff, Marcel
3 Chen, Hua
3 Chen, Li
3 Chiyo, Yutaro
3 Dai, Feng
3 Dong, Ying
3 Efendiev, Messoud
3 Freitag, Marcel
3 Giorgini, Andrea
3 Guo, Shangjiang
3 Hong, Liang
3 Karch, Grzegorz
3 Kurt, Halil Ibrahim
3 Li, Yuxiang
3 Liu, Ji
3 Liu, Zhengrong
3 Liu, Zuhan
3 Miranville, Alain M.
3 Negreanu, Mihaela
3 Niu, Pengcheng
3 Ohtsuka, Hiroshi
3 Shangerganesh, Lingeshwaran
3 Shi, Junping
...and 479 more Authors
all top 5

Cited in 124 Serials

86 Journal of Differential Equations
74 Journal of Mathematical Analysis and Applications
38 Nonlinear Analysis. Real World Applications
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Discrete and Continuous Dynamical Systems. Series B
31 ZAMP. Zeitschrift für angewandte Mathematik und Physik
31 Discrete and Continuous Dynamical Systems
20 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Nonlinearity
16 Acta Applicandae Mathematicae
15 SIAM Journal on Mathematical Analysis
14 Calculus of Variations and Partial Differential Equations
12 Mathematical Methods in the Applied Sciences
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Journal of Mathematical Physics
8 Applicable Analysis
8 Journal of Functional Analysis
8 Journal of Evolution Equations
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Communications on Pure and Applied Analysis
8 Discrete and Continuous Dynamical Systems. Series S
7 Computers & Mathematics with Applications
7 Journal of Mathematical Biology
6 Archive for Rational Mechanics and Analysis
6 Communications in Partial Differential Equations
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 NoDEA. Nonlinear Differential Equations and Applications
5 Boundary Value Problems
4 Applied Mathematics Letters
4 European Journal of Applied Mathematics
3 Journal of Computational Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Japan Journal of Industrial and Applied Mathematics
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Communications in Contemporary Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Communications in Mathematical Physics
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Funkcialaj Ekvacioj. Serio Internacia
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Physica D
2 SIAM Journal on Applied Mathematics
2 Bulletin of the Polish Academy of Sciences, Mathematics
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Electronic Journal of Differential Equations (EJDE)
2 Journal of Convex Analysis
2 Abstract and Applied Analysis
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Analysis and Applications (Singapore)
2 Séminaire Laurent Schwartz. EDP et Applications
2 Mathematics in Engineering
1 Computers and Fluids
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Czechoslovak Mathematical Journal
1 Hiroshima Mathematical Journal
1 Hokkaido Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Numerische Mathematik
1 Siberian Mathematical Journal
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Economics
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Applications of Mathematics
1 Numerical Algorithms
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Russian Journal of Mathematical Physics
1 Applicationes Mathematicae
1 St. Petersburg Mathematical Journal
1 Journal of Mathematical Chemistry
1 Discrete Dynamics in Nature and Society
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Annales Mathematicae Silesianae
1 Qualitative Theory of Dynamical Systems
1 Mathematical Modelling and Analysis
1 Kragujevac Journal of Mathematics
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Advanced Nonlinear Studies
...and 24 more Serials

Citations by Year