Research keywords (2):
partial differential equation
, nonlinear analysis
Research theme for competitive and other funds (5):
2006 - 2009 生体現象の数理解析とシミュレーション
2003 - 2006 医学領域の諸現象の数理モデルとその解析
1997 - 1999 反応拡散方程式系の解の構造の解析
1996 - 1997 反応拡散方程式系の大域解の漸近挙動の定量的解析
1993 - 1994 反応拡散方程式系の解の研究
Papers (22):
Akisato Kubo, Hiroki Hoshino. Nonlinear evolution equations and their application to chemotaxis models. Analysis, Probability, Applications, and Computation. 2019. 337-347
Akisato Kubo, Yuto Miyata, Hidetoshi Kobayashi, Hiroki Hoshino, Naoki Hayashi. Nonlinear evolution equations and its application to a tumour invasion model. Advances in Pure Mathematics. 2016. 6. 12. 878-893
Akisato Kubo, Hiroki Hoshino, Katsutaka Kimura. Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model. Dynamical Systems, Differential Equations and Applications, AIMS Proceedings. 2015. 733-744
Hiroki Hoshino. Perturbations of smooth traveling wave solutions to a mathematical model of malignant tumor invasion. Proceedings of Functional Analysis and Applications--Evolution Equations and Control Theory--. 2014. 233-241