Edit Profile (opens in new tab) Ohtsuka, Takeshi Co-Author Distance Author ID: ohtsuka.takeshi Published as: Ohtsuka, Takeshi; Ohtsuka, T. Documents Indexed: 19 Publications since 2003, including 1 Additional arXiv Preprint Co-Authors: 12 Co-Authors with 11 Joint Publications 341 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Giga, Yoshikazu 3 Shirakawa, Ken 3 Yamazaki, Noriaki 2 Ishiwata, Tetsuya 2 Tsai, Yen-Hsi Richard 1 Giga, Mi-Ho 1 Goto, Shun’ichi 1 Hibi, Takayuki 1 Mitake, Hiroyoshi 1 Nakagawa, Maki 1 Schatzle, Reiner 1 Tran Vinh Hung 1 Umeda, Noriaki all top 5 Serials 2 Indiana University Mathematics Journal 2 Advances in Mathematical Sciences and Applications 2 Discrete and Continuous Dynamical Systems. Series S 1 Discrete Applied Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Interfaces and Free Boundaries 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 International Journal of Algebra 1 Asian Journal of Control all top 5 Fields 13 Partial differential equations (35-XX) 8 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 62 times in 42 Documents Cited by ▼ Year ▼ Motion of interfaces by an Allen-Cahn type equation with multiple-well potentials. Zbl 1140.35338 Ohtsuka, Takeshi 12 2008 Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 11 2012 On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations. Zbl 1106.35060 Giga, Yoshikazu; Ohtsuka, Takeshi; Schätzle, Reiner 7 2006 A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101 Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y. 6 2015 A level set method for spiral crystal growth. Zbl 1059.74045 Ohtsuka, Takeshi 4 2003 Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 4 2008 Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057 Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi 4 2008 Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip. Zbl 1423.34023 Ishiwata, Tetsuya; Ohtsuka, Takeshi 4 2019 On sequential diagnosis of multiprocessor systems. Zbl 1077.68011 Yamada, T.; Ohtsuka, T.; Watanabe, A.; Ueno, S. 3 2005 Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Zbl 1467.65068 Ishiwata, Tetsuya; Ohtsuka, Takeshi 3 2021 Existence of asymptotic speed of solutions to birth-and-spread type nonlinear partial differential equations. Zbl 1466.35035 Giga, Yoshikazu; Mitake, Hiroyoshi; Ohtsuka, Takeshi; Tran, Hung V. 3 2021 Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 2 2008 Discontinuous stationary solution to generalized Eikonal-curvature equation and its stability. Zbl 1320.53083 Ohtsuka, Takeshi 2 2014 Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Zbl 1467.65068 Ishiwata, Tetsuya; Ohtsuka, Takeshi 3 2021 Existence of asymptotic speed of solutions to birth-and-spread type nonlinear partial differential equations. Zbl 1466.35035 Giga, Yoshikazu; Mitake, Hiroyoshi; Ohtsuka, Takeshi; Tran, Hung V. 3 2021 Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip. Zbl 1423.34023 Ishiwata, Tetsuya; Ohtsuka, Takeshi 4 2019 A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101 Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y. 6 2015 Discontinuous stationary solution to generalized Eikonal-curvature equation and its stability. Zbl 1320.53083 Ohtsuka, Takeshi 2 2014 Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 11 2012 Motion of interfaces by an Allen-Cahn type equation with multiple-well potentials. Zbl 1140.35338 Ohtsuka, Takeshi 12 2008 Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 4 2008 Uniqueness and existence of generalized motion for spiral crystal growth. Zbl 1161.53057 Goto, Shun’ichi; Nakagawa, Maki; Ohtsuka, Takeshi 4 2008 Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363 Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 2 2008 On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations. Zbl 1106.35060 Giga, Yoshikazu; Ohtsuka, Takeshi; Schätzle, Reiner 7 2006 On sequential diagnosis of multiprocessor systems. Zbl 1077.68011 Yamada, T.; Ohtsuka, T.; Watanabe, A.; Ueno, S. 3 2005 A level set method for spiral crystal growth. Zbl 1059.74045 Ohtsuka, Takeshi 4 2003 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 7 Yamazaki, Noriaki 6 Giga, Yoshikazu 3 Nara, Mitsunori 3 Ohtsuka, Takeshi 3 Shirakawa, Ken 3 Tran Vinh Hung 2 Antil, Harbir 2 Farshbaf-Shaker, Mohammad Hassan 2 Fukao, Takeshi 2 Giga, Mi-Ho 2 Jang, Jiwoong 2 Kim, Junseok 2 Kubota, Shodai 2 Lee, Hyun Geun 2 Mitake, Hiroyoshi 2 Suzuki, Tomoyuki 2 Takasao, Keisuke 2 Zhang, Longjie 2 Zheng, Jiashan 1 Akman Yıldız, Tuğba 1 Băleanu, Dumitru I. 1 Benincasa, Tommaso 1 Blank, Luise 1 Chambolle, Antonin 1 Colli, Pierluigi 1 Domokos, Gábor 1 Donado Escobar, L. D. 1 Du, Qingqing 1 Fabien, Maurice S. 1 Fehér, Eszter 1 Forcadel, Nicolas 1 Ganesh, Mahadevan 1 Hamamuki, Nao 1 Hassan Farshbaf-Shaker, M. 1 Imbert, Cyril 1 Ishii, Katsuyuki 1 Ishiwata, Tetsuya 1 Jajarmi, Amin 1 Jeong, Darae 1 Jia, Hongen 1 Krauskopf, Bernd 1 Kuroda, Ryo 1 Kwon, Dohyun 1 Li, Yibao 1 Liu, Hao 1 Liu, Junjun 1 Matano, Hiroshi 1 Matsuzawa, Hiroshi 1 Meisinger, Johannes 1 Misu, Kuniyasu 1 Monneau, Régis 1 Mori, Yoichiro 1 Morini, Massimiliano 1 Moroşanu, Costică N. 1 Novaga, Matteo 1 Ochiai, Yusuke 1 Okumura, Makoto 1 Osaki, Koichi 1 Park, Seong-Kwan 1 Patrizi, Stefania 1 Ponsiglione, Marcello 1 Požár, Norbert 1 Reyes, Brandon C. 1 Satoh, Hirotoshi 1 Shin, Jaemin 1 Tan, Zengqiang 1 Tsai, Je-Chiang 1 Tsai, Yen-Hsi Richard 1 Valdinoci, Enrico 1 Wang, Danxia 1 Wang, Xiaoliu 1 Wang, Yaping 1 Yazaki, Shigetoshi 1 Yildiz, Burak C. 1 Zhang, Chengjian 1 Zhang, Jianwen 1 Zhang, Zhengyang all top 5 Cited in 33 Serials 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 2 Computers & Mathematics with Applications 2 Journal of Computational and Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Advances in Nonlinear Analysis 1 International Journal of Control 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Numerical Functional Analysis and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Numerical Mathematics 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinear Analysis. Modelling and Control 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Boundary Value Problems 1 Advances in Numerical Analysis 1 Bulletin of Mathematical Sciences 1 Mathematical Control and Related Fields 1 Journal of Computational Dynamics 1 Minimax Theory and its Applications 1 Geometric Flows 1 AIMS Mathematics all top 5 Cited in 14 Fields 31 Partial differential equations (35-XX) 16 Numerical analysis (65-XX) 15 Differential geometry (53-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year