| A level set method for spiral crystal growth T Ohtsuka Advances in Mathematical Sciences and Applications 13 (1), 225-248, 2003 | 30 | 2003 |
| Motion of interfaces by an Allen–Cahn type equation with multiple-well potentials T Ohtsuka Asymptotic analysis 56 (2), 87-123, 2008 | 24 | 2008 |
| Optimal control problem for Allen-Cahn type equation associated with total variation energy T Ohtsuka, K Shirakawa, N Yamazaki Discrete Contin. Dyn. Syst. Ser. S 5 (1), 159-181, 2012 | 21 | 2012 |
| A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces T Ohtsuka, YHR Tsai, Y Giga Journal of Scientific Computing 62 (3), 831-874, 2015 | 19 | 2015 |
| Uniqueness and existence of generalized motion for spiral crystal growth S Goto, M Nakagawa, T Ohtsuka Indiana University Mathematics Journal, 2571-2599, 2008 | 19 | 2008 |
| On a uniform approximation of motion by anisotropic curvature by the Allen–Cahn equations Y Giga, R Schätzle, T Ohtsuka Interfaces and Free Boundaries 8 (3), 317-348, 2006 | 19 | 2006 |
| Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations Y Giga, H Mitake, T Ohtsuka, HV Tran arXiv preprint arXiv:1808.06312, 2018 | 14 | 2018 |
| Optimal control of a singular diffusion equation with constraint T Ohtsuka, K Shirakawa, N Yamazaki Hokkaido University Preprint Series in Mathematics 875, 2007 | 11 | 2007 |
| Evolution of spiral-shaped polygonal curve by crystalline curvature flow with a pinned tip T Ishiwata, T Ohtsuka Hokkaido University Preprint Series in Mathematics 1097, 1-31, 2016 | 10 | 2016 |
| Growth rate of crystal surfaces with several dislocation centers T Ohtsuka, YHR Tsai, Y Giga Crystal Growth & Design 18 (3), 1917-1929, 2018 | 8 | 2018 |
| Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint T Ohtsuka, K Shirakawa, N Yamazaki Proceedings of International Conference on: Nonlinear Phenomena with Energy …, 2008 | 7 | 2008 |
| Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. T Ishiwata, T Ohtsuka Discrete & Continuous Dynamical Systems-Series S 14 (3), 2021 | 5 | 2021 |
| Discontinuous stationary solution to generalized eikonal-curvature equation and its stability T Ohtsuka Commentarii mathematici Universitatis Sancti Pauli 63 (1-2), 233-260, 2014 | 3 | 2014 |
| ON BEHAVIOR OF SIGNS FOR THE HEAT EQUATION AND A DIFFUSION METHOD FOR DATA SEPARATION. MH Giga, Y Giga, T Ohtsuka, N Umeda Communications on Pure & Applied Analysis 12 (5), 2013 | 3 | 2013 |
| A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces T Ohtsuka, YHR Tsai, Y Giga Hokkaido University Preprint Series in Mathematics 1025, 1-36, 2012 | 3 | 2012 |
| Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow T Ishiwata, T Ohtsuka arXiv preprint arXiv:1901.09259, 2019 | 1 | 2019 |
| Minimizing movement approach without using distance function for evolving spirals by the crystalline curvature with driving force (Theoretical Developments to Phenomenon … T Ohtsuka 数理解析研究所講究録 2121, 74-87, 2019 | 1 | 2019 |
| Spatial Lipschitz Continuity of Viscosity Solution to Level Set Equation for Evolving Spirals by Eikonal-Curvature Flow T Ohtsuka Mathematics for Nonlinear Phenomena—Analysis and Computation: In Honor of …, 2017 | 1 | 2017 |
| Evolution of crystal surface by a single screw dislocation with multiple spiral steps T Ohtsuka Surikaisekikenkyusho Kokyuroku, 11-20, 2014 | 1 | 2014 |
| On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations Y Giga, T Ohtsuka, R Schaetzle Hokkaido University Preprint Series in Mathematics 738, 1-36, 2005 | 1 | 2005 |
