2008 - 2010 Operator-Analytical Study of Singularities Appearing in Quantum Theory
2006 - 2008 Pattern formation arising in reaction-diffusion systems via variational methods
2006 - 2007 Operator-Theoretical Research of Two-Body System in Non-Relativistic Quantum Field Theory
Papers (16)：
Yoshihisa Morita, Yoshihito Oshita. Segregation Pattern in a Four-Component Reaction-Diffusion System with Mass Conservation. Journal of Dynamics and Differential Equations. 2024
Takuya KOJIMA, Yoshihito OSHITA. Linear stability of radially symmetric equilibrium solutions to the singular limit problem of three-component activator-inhibitor model. Mathematical Journal of Okayama University. 2021. 63. 201-217
Barbara Niethammer, Yoshihito Oshita. A rigorous derivation of mean-field models describing 2D micro phase separation. Calculus of Variations and Partial Differential Equations. 2020. 59. 2
Tomoyuki KAKEHI, Yoshihito OSHITA. Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian. Mathematical Journal of Okayama University. 2017. 59. 1. 175-218
Oshita Yoshihito. Reduced rescaled problem of some activator-inhibitor systems(Mechanism of temporal and spatial patterns in reaction-diffusion systems). RIMS Kokyuroku. 2006. 1498, 11-25. 11-25
大下承民. Fine structures arising in reaction-diffusion equations. Trends in Mathematics. 2005. 8, 77-80
Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations
(Variational Methods for Elliptic PDE's and Hamiltonian Systems 2008)
Hexagonal Patterns of Di-Block Copolymer Melts
(SIAM Conference on Mathematical Aspects of Materials Science 2008)
Singular limit problem for some elliptic systems
(碩学特別講演会 2008)
Uniqueness of standing waves for nonlinear Schrodinger equations
(Young Asian Conference on Partial Differential Equations 2008)
