Japanese
T. Ohtsuka's web page
Division of Pure and Applied Sciences,
Faculty of Science and Technology,
Gunma University
42, Aramakimachi, Maebashi, Gunma 3718510, Japan
Publication list
Preprints
 WORK IN PROGRESS.
(old preprints)
Papers with review
 Y. Giga, H. Mitake, T. Ohtsuka, and H. V. Tran,
Existence of asymptotic speed of solutions to birth and spread type
nonlinear partial differential equations,
Indiana University Mathematics Journal,
70(2021), no. 1, 121156.
(web page)
 T. Ishiwata and T. Ohtsuka,
Numerical analysis of an ODE and a level set methods for evolving spirals
by crystalline eikonalcurvature flow,
Discrete and Continuous Dynamical Systems Series S,
14(2021), no. 3, 893907.
(web page)
 T. Ishiwata and T. Ohtsuka,
Evolution of spiralshaped polygonal curve by crystalline curvature flow
with a pinned tip,
Discrete and Continuous Dynamical Systems Series B,
24(2019), no. 10, 52615295.
(web page)
 T. Ohtsuka, Y.H. R. Tsai, and Y. Giga,
Growth rate of crystal surfaces with several dislocation centers,
Crystal Growth & Design 18(2018), no. 3, 19171929.
(web page)
 T. Ohtsuka,
Spatial Lipschitz continuity of viscosity solution
to level set equation for evolving spirals by eikonalcurvature flow,
Mathematics for Nonlinear Phenomena: Analysis and Computation.
Springer Proceedings in Mathematics & Statistics 215(2017), 241260.
(web page)
 T. Ohtsuka, Y.H. R. Tsai and Y. Giga,
A level set approac reflecting sheet structure
with single auxiliary function for evolving spirals
on crystal surface,
Journal of Scientific Computing
62(2015), no. 3, 831874.
(web page)
 T. Ohtsuka, Discontinuous stationary solution to generalized
eikonalcurvature equation and its stability,
Commentarii Mathematici Universitas Sancti Pauli
63(2014), no. 12, 233260.
 M.H. Giga, Y. Giga, T. Ohtsuka and N. Umeda,
On behavior of signs for the heat equation and a diffusion method for data separation,
Communications on Pure and Applied Analysis
12(5) (2013), no. 5, 22772296.
(web page)
 T. Ohtsuka, K. Shirakawa and N. Yamazaki,
Optimal control problem for AllenCahn type equation
associated with total variation energy,
A special volume of Discrete and Continuous Dynamical Systems 
Series S "PDE approximations in Fast reaction  Slow diffusion scenarios"
5(2012), no. 1, 159181.
(web page)
 S. Goto, M. Nakagawa and T. Ohtsuka,
Uniqueness and existence of generalized motion for spiral crystal growth,
Indiana University Mathematics Journal
57(2008), no. 5, 25712599.
(web page)
 T. Ohtsuka,
The singular limit of an AllenCahn type equation
with unbalanced multiplewell potential,
International Conference for the 25th Anniversary of Viscosity solutions,
Gakuto International Series Mathematical Sciences and Applications
30(2008), 165174.
 T. Ohtsuka, K. Shirakawa and N. Yamazaki,
Convergence of numerical algorithm for optimal control problem
of AllenCahn type equation with constraint,
Proceedings of International Coference on:
Nonlinear Phenomena with Energy Dissipation,
Mathematical Analysis, Modeling and Simulation,
Gakuto International Series Mathematical Sciences and Applications
29(2008), 441462.
 T. Ohtsuka,
Numerical simulations for optimal controls of an AllenCahn type equation
with constraint,
Proceedings of International Coference on:
Nonlinear Phenomena with Energy Dissipation,
Mathematical Analysis, Modeling and Simulation,
Gakuto International Series Mathematical Sciences and Applications
29(2008), 329339.
 T. Ohtsuka, K. Shirakawa and N. Yamazaki,
Optimal control of a singular diffusion equation with constraint,
Advances in Mathematical Sciences and Applications
18(2008), no. 1, 128.
 T. Ohtsuka, Motion of interfaces by an AllenCahn type equation
with multiplewell potentials,
Asymptotic Analysis
56(2008), no. 2, 87123.
 Y. Giga, T. Ohtsuka and R. Schätzle,
On a uniform approximation of motion by anisotropic curvature
by AllenCahn equation,
Interfaces and Free boundaries
8(2006), no. 3, 317348.
(web page)
 T. Ohtsuka, A level set method for spiral crystal growth,
Advances in Mathematical Sciences and Applications
13(2003), no. 1, 225248.
Proceedings or abstracts (without review)

T. Ohtsuka,
Minimizing movement approach without using distance function
for evolving spirals by the crystalline curvature with driving force,
RIMS Kôkyûroku No. 2121 Theoretical Developments to Phyenomenon Analysis
based on Nonlinear Evolution Equations
(2019), 7487.
(pdf)

T. Ohtsuka,
Minimizing movement approach for spirals evolving by
crystalline curvature using level set functions,
Oberwolfach Reports 14(2017), 314317.
(webpage
on the report of "Emerging Developments in Interfaces and Free Boundaries")
 T. Ohtsuka,
Evolution of crystal surface by a single screw dislocation
with multiple spiral steps,
RIMS Kôkyûroku No. 1924 Mathematical Analysis of Pattern Formation
Arising in Nonlinear Phenomena (2014),
1120.
(pdf)
 T. Ohtsuka,
Stability of bunched spirals and inactive pair in evolution of spirals with an
eikonalcurvature flow,
Oberwolfach Reports 10(2013), 915918.
(web page)
 T. Ohtsuka,
Evolution of spirals by an eikonalcurvature flow equation
with a single level set formulation,
Proceedings of the 37th Sapporo Symposium on Partial Differential Equations
In memory of Professor Rentaro Agemi,
Hokkaido University Technical Report Series in Mathematics #153 (2012),
6271.
 T. Ohtsuka,
Interface evolution by tristable AllenCahn equation
with collision free condition,
RIMS Kôkyûroku No. 1693 Nonlinear evolution equations and mathematical modeling (2010),
168179.
(pdf)
 T. Ohtsuka,
Level set method for spiral crystal growth and surface evolution,
Oberwolfach Reports
7(2010), 291294.
 T. Ohtsuka,
A level set method for spiral crystal growth and growth rate
of crystal surface,
Proceedings of minisemester on evolution of interfaces Sapporo 2010,
Hokkaido University Technical Report Series in Mathematics #145 (2010),
5761.
 T. Ohtsuka,
Existence and uniqueness of level sets for spiral crystal growth,
Proceedings in Applied Mathematics and Mechanics
7(2008), 11415031141504.
 T. Ohtsuka,
The AllenCahn type equation with multiplewell potentials and
mean curvature flow equation,
RIMS Kôkyûroku No. 1545 Viscosity Solution Theory of Differential Equations
and its Developments (2007), 3846.
(pdf)
 T. Ohtsuka,
The uniqueness and existence of level sets for motion of spirals,
RIMS Kôkyûroku No. 1542 Mathematical Models of Phenomena and Evolution Equation (2007), 123135.
(pdf)
 T. Ohtsuka,
On the singular limit of anisotropic AllenCahn equation
approximating anisotropic mean curvature flow
with driving force term,
Proceedings of the 29th Sapporo Symposium on Partial Differential Equations,
Hokkaido University Technical Report Series in Mathematics #84
(2004), 5968.
(web page)
 T. Ohtsuka,
Uniform estimate for a solution of anisotropic AllenCahn equation,
Proceedings of the Twelfth Tokyo Conference on Nonlinear PDE 2003,
(2004), 112.
 T. Ohtsuka,
A level set method for a growth of a crystal by screw dislocation,
RIMS Kôkyûroku No. 1287 Viscosity Solutions of Differential Equations and Related Topics (2002)
1226.(pdf)