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Senba, Takasi

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Author ID: senba.takasi Recent zbMATH articles by "Senba, Takasi"
Published as: Senba, Takasi
Documents Indexed: 60 Publications since 1986, including 3 Books

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 874 times in 501 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
277
1997
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010
Nagai, Toshitaka; Senba, Takasi
59
1998
Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
57
2000
Parabolic system of chemotaxis: Blowup in a finite and the infinite time. Zbl 1056.92007
Senba, Takasi; Suzuki, Takashi
54
2001
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
40
2001
A quasi-linear parabolic system of chemotaxis. Zbl 1134.35059
Senba, Takasi; Suzuki, Takasi
31
2006
Weak solutions to a parabolic-elliptic system of chemotaxis. Zbl 1005.35026
Senba, Takasi; Suzuki, Takashi
29
2002
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
27
2000
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
26
2016
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
22
2016
Blowup behavior of radial solutions to Jäger-Luckhaus system in high dimensional domains. Zbl 1116.35065
Senba, Takasi
18
2005
Applied analysis. Mathematical methods in natural science. Zbl 1053.00001
Senba, Takasi; Suzuki, Takashi
18
2004
Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
17
1997
Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120
Fujie, Kentarou; Senba, Takasi
16
2017
Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains. Zbl 1114.35090
Senba, Takasi
16
2007
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014
Nagai, Toshitaka; Senba, Takasi
16
1997
Type-II blowup of solutions to an elliptic-parabolic system. Zbl 1147.35013
Mizoguchi, Noriko; Senba, Takasi
13
2007
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122
Fujie, Kentarou; Senba, Takasi
12
2018
Applied analysis. Mathematical methods in natural science. 2nd ed. Zbl 1228.00004
Suzuki, Takashi; Senba, Takasi
11
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
10
2011
Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis. Zbl 0877.35022
Senba, Takasi
10
1997
On some nonlinear evolution equation. Zbl 0627.35045
Senba, Takasi
10
1986
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
Local and norm behavior of blowup solutions to a parabolic system of chemotaxis. Zbl 0967.35011
Senba, Takasi; Suzuki, Takashi
7
2000
Grow-up rate of a radial solution for a parabolic-elliptic system in \(\mathbb{R}^2\). Zbl 1182.35054
Senba, Takasi
6
2009
Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces. Zbl 1172.35003
Senba, Takasi
6
2009
Blowup in infinite time in the simplified system of chemotaxis. Zbl 1145.35039
Ohtsuka, Hiroshi; Senba, Takasi; Suzuki, Takashi
6
2007
Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space. Zbl 1267.35049
Naito, Yūki; Senba, Takasi
5
2013
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
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149
Fujie, Kentarou; Senba, Takasi
4
2019
Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains. Zbl 1248.35029
Naito, Yūki; Senba, Takasi
4
2012
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
4
2011
Blowup behavior of solutions to the rescaled Jäger-Luckhaus system. Zbl 1035.35007
Senba, Takasi; Suzuki, Takashi
4
2003
Behavior of solutions to a system related to chemotaxis. Zbl 1042.35556
Senba, Takasi; Suzuki, Takashi
3
2001
Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state. Zbl 1411.35175
Naito, Yūki; Senba, Takasi
2
2019
Self-similar blow-up for a chemotaxis system in higher dimensional domains. Zbl 1196.35059
Naito, Yūki; Senba, Takasi
2
2009
Time global solutions to a parabolic-elliptic system modelling chemotaxis. Zbl 1060.92016
Senba, Takasi; Suzuki, Takashi
2
2002
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0957.92500
Senba, Takasi; Suzuki, Takashi
2
1999
On the support properties of solutions for some degenerate quasilinear parabolic systems. Zbl 0707.35008
Senba, Takasi
2
1990
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
1
2019
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
Chemotactic collapse of radial solutions to Jäger-Luckhaus system. Zbl 1065.35066
Senba, Takasi; Suzuki, Takashi
1
2004
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0931.35185
Nagai, Toshitaka; Senba, Takasi
1
1996
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension. Zbl 1406.35149
Fujie, Kentarou; Senba, Takasi
4
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
2
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
1
2019
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system. Zbl 1397.35122
Fujie, Kentarou; Senba, Takasi
12
2018
Application of an Adams type inequality to a two-chemical substances chemotaxis system. Zbl 1364.35120
Fujie, Kentarou; Senba, Takasi
16
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
26
2016
Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051
Senba, Takasi; Fujie, Kentarou
22
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
11
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
10
2011
A sufficient condition for type I blowup in a parabolic-elliptic system. Zbl 1218.35049
Mizoguchi, Noriko; Senba, Takasi
5
2011
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
4
2011
Grow-up rate of a radial solution for a parabolic-elliptic system in \(\mathbb{R}^2\). Zbl 1182.35054
Senba, Takasi
6
2009
Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces. Zbl 1172.35003
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
31
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
18
2005
Applied analysis. Mathematical methods in natural science. Zbl 1053.00001
Senba, Takasi; Suzuki, Takashi
18
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
29
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
54
2001
Chemotactic collapse in a parabolic-elliptic system of mathematical biology. Zbl 0999.92005
Senba, Takasi; Suzuki, Takashi
40
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
Chemotactic collapse in a parabolic system of mathematical biology. Zbl 0984.35079
Nagai, Toshitaka; Senba, Takasi; Suzuki, Takashi
57
2000
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
27
2000
Local and norm behavior of blowup solutions to a parabolic system of chemotaxis. Zbl 0967.35011
Senba, Takasi; Suzuki, Takashi
7
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
59
1998
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Zbl 0901.35104
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
277
1997
Global existence of solutions to the parabolic systems of chemotaxis. Zbl 0931.92005
Nagai, Toshitaka; Senba, Takasi; Yoshida, Kiyoshi
17
1997
Behavior of radially symmetric solutions of a system related to chemotaxis. Zbl 0891.35014
Nagai, Toshitaka; Senba, Takasi
16
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
10
1986
all top 5

Cited by 485 Authors

48 Winkler, Michael
21 Mu, Chunlai
14 Fujie, Kentarou
14 Lin, Ke
14 Wang, Wei
14 Yokota, Tomomi
14 Zheng, Sining
12 Lankeit, Johannes
12 Senba, Takasi
11 Jin, Hai-Yang
11 Ogawa, Takayoshi
11 Shen, Wenxian
11 Sugiyama, Yoshie
11 Suzuki, Takashi
11 Xiang, Tian
10 Cieślak, Tomasz
10 Mizoguchi, Noriko
10 Tao, Youshan
9 Mizukami, Masaaki
8 Ishida, Sachiko
8 Nagai, Toshitaka
8 Salako, Rachidi Bolaji
7 Wang, Liangchen
7 Wang, Zhian
6 Akagi, Goro
6 Biler, Piotr
6 Laurençot, Philippe
6 Perthame, Benoît
6 Xiang, Zhaoyin
6 Yu, Hao
6 Zheng, Jiashan
5 Baghaei, Khadijeh
5 Black, Tobias
5 Hillen, Thomas
5 Kozono, Hideo
5 Osaki, Koichi
5 Ren, Guoqiang
5 Zhao, Jie
4 Cao, Xinru
4 Ding, Mengyao
4 Fuest, Mario
4 Horstmann, Dirk
4 Jiang, Jie
4 Jin, Chunhua
4 Kang, Kyungkeun
4 Khelghati, Ali
4 Kurokiba, Masaki
4 Li, Dan
4 Li, Xie
4 Li, Yuxiang
4 Stinner, Christian
4 Tello, José Ignacio
4 Wang, Qi
4 Wu, Sainan
4 Yamada, Tetsuya
4 Yamamoto, Masakazu
4 Zhao, Xiangdong
4 Zheng, Pan
4 Zhigun, Anna
4 Zhong, Hua
3 Ahn, Jaewook
3 Blanchet, Adrien
3 Bonheure, Denis
3 Castéras, Jean-baptiste
3 Chen, Hua
3 Efendiev, Messoud
3 Freitag, Marcel
3 Giorgini, Andrea
3 He, Siming
3 Hong, Liang
3 Karch, Grzegorz
3 Lee, Jihoon
3 Liu, Suying
3 Negreanu, Mihaela
3 Ohtsuka, Hiroshi
3 Qiu, Shuyan
3 Seki, Yukihiro
3 Shi, Junping
3 Souplet, Philippe
3 Tsujikawa, Tohru
3 Tu, Xinyu
3 Wakui, Hiroshi
3 Wang, Yifu
3 Wang, Yilong
3 Wang, Yulan
3 Wu, Boying
3 Yagi, Atsushi
3 Zhang, Qingshan
3 Zhou, Deqin
3 Zienkiewicz, Jacek
2 Bedrossian, Jacob
2 Bellomo, Nicola
2 Brantingham, P. Jeffrey
2 Braukhoff, Marcel
2 Carrillo de la Plata, José Antonio
2 Chae, Myeongju
2 Che, Jiahang
2 Chen, Li
2 Corrias, Lucilla
2 De Leenheer, Patrick
...and 385 more Authors
all top 5

Cited in 97 Serials

67 Journal of Differential Equations
56 Journal of Mathematical Analysis and Applications
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Nonlinear Analysis. Real World Applications
28 Discrete and Continuous Dynamical Systems
17 Discrete and Continuous Dynamical Systems. Series B
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Nonlinearity
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Mathematical Methods in the Applied Sciences
11 SIAM Journal on Mathematical Analysis
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Functional Analysis
7 Calculus of Variations and Partial Differential Equations
6 Archive for Rational Mechanics and Analysis
6 Computers & Mathematics with Applications
6 Journal of Mathematical Biology
6 Acta Applicandae Mathematicae
6 Journal of Evolution Equations
5 Applicable Analysis
5 Journal of Mathematical Physics
5 Communications on Pure and Applied Analysis
4 Applied Mathematics Letters
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 NoDEA. Nonlinear Differential Equations and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematische Annalen
3 Mathematische Nachrichten
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 Applied Mathematics and Computation
2 Funkcialaj Ekvacioj. Serio Internacia
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
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 Abstract and Applied Analysis
2 Analysis and Applications (Singapore)
2 Séminaire Laurent Schwartz. EDP et Applications
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Hiroshima 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 European Journal of Applied Mathematics
1 Applications of Mathematics
1 Numerical Algorithms
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Journal of Mathematical Physics
1 Applicationes Mathematicae
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Journal of Convex Analysis
1 Journal of Mathematical Chemistry
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Annales Mathematicae Silesianae
1 Advanced Nonlinear Studies
1 SIAM Journal on Applied Dynamical Systems
1 Oberwolfach Reports
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Fixed Point Theory and Applications
1 Networks and Heterogeneous Media
1 Kinetic and Related Models
1 International Journal of Biomathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Evolution Equations and Control Theory
1 Journal of Elliptic and Parabolic Equations
1 Transactions of the American Mathematical Society. Series B

Citations by Year