■CV (PDF version) Here
■Affiliation
| Assistant Professor, Department of Mathematics, Faculty of Science, Hokkaido University |
| ✉ kosuke.kita[AT]math.sci.hokudai.ac.jp |
| researchmap |
■Current Research Topics
| ・Parabolic and elliptic equations with nonlinear boudnary conditions |
| ・Nonlinear evolution equations, Nonlinear semigroups |
| ・Damped wave equations, Nakao's problem |
Keyword: Qualitative theory of solutions, Blow-up, Global existence, Asymptotic behavior, Nonlinear functional analysis
■Academic Degrees
| Bachelor of Engineering, Department of Applied Physics, Waseda University, March 2017 |
| Master of Science, Department of Pure and Applied Physics, Waseda University, March 2019 |
| Doctor of Science, Department of Pure and Applied Physics, Waseda University, March 2022 |
■Papers
- (with K. Matsushima and T. Oka) Optimal design problem with thermal radiation, Partial Differential Equations in Applied Mathematics, 16 (2025), 101304.
- (with V. Georgiev), Weighted $L^\infty$-estimates for solutions of the damped wave equation in three space dimensions and its application, Nonlinear Analysis TMA, 260(2025), 113850.
- (with R. Kusaba), A remark on the blowing up of solutions to Nakao's problem, Journal of Mathematical Analysis and Applications, 513(2022), No. 1, 126199.
- (with M. Ôtani), On a comparison theorem for parabolic equations with nonlinear boundary conditions, Advances in Nonlinear Analysis, 11(2022), No. 1, 1165-1181.
- (with M. Ôtani), Bounds for global solutions of nonlinear heat equations with nonlinear boundary conditions, Lib. Math. (N.S.), 41(2021), No. 1, 1-22.
- (with M. Ôtani), Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions, Differential Equations and Applications, 11(2019), No. 2, 227-242.
- (with M. Ôtani and H. Sakamoto), On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions, Adv. Math. Sci. Appl., 27(2018), No. 2, 193-224.
■Preprints (submitted)
- Asymptotics of nonlinear Robin energies with convex boundary potentials.
- (with V. Georgiev), Weighted pointwise estimates for the damped wave equation and global solutions to Nakao's problem in three dimensions.
- Space-time weighted \(L^\infty\)-estimates and decay of global solutions for a system of semilinear damped wave equations in \(\mathbb{R}^3\).
- Stability of time-fractional nonlinear evolution equations under Mosco convergence of convex energies.
- Sharp divergence rates for a refined interpolation inequality in homogeneous Besov spaces.