Publication List

1. Wei Dai, Hideo Kubo, and Motohiro Sobajima.
   Blow-up for Strauss type wave equation with damping and potential,
   Nonlinear Anal. Real World Appl., 57:103195, 15, 2021.
2. H. Kubo,
   Modification of the vector-field method related to quadratically perturbed wave equations in two space dimensions,
   Advanced Studies in Pure Mathematics 81, "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations", (2019), 139-172.
3. V. Georgiev, H. Kubo and K. Wakasa,
   Critical exponent for nonlinear damped wave equations with non-negative potential in 3D,
   J. Differential Equations, 267 (2019), 3271-3288.
4. H. Kubo, T. Ogawa and T. Suguro,
   Beckner type of the logarithmic Sobolev and a new type of Shannon's inequalities and an application to the uncertainty principle,
   Proceedings of the American Mathematical Society, Vol. 147 (4), (2019), 1511-1518.
5. Y. Takeichi, T. Uebi, N. Miyazaki, K. Murata, K. Yasuyama, K. Inoue, T. Suzaki, H. Kubo, N. Kajimura, J. Takano, T. Omori, R. Yoshimura, Y. Endo, M. K. Hojo, E. Takaya, S. Kurihara, K. Tatsuta, K. Ozaki and M. Ozaki,
   Putative Neural Network Within an Olfactory Sensory Unit for Nestmate and Non-nestmate Discrimination in the Japanese Carpenter Ant: The Ultra-structures and Mathematical Simulation,
   Front. Cell. Neurosci. 12(310), (2018), 1-15.
6. R. Minami, C. Sato, Y. Yamahama, H. Kubo, T. Hariyama, K.I. Kimura,
   An RNAi screen for genes involved in nanoscale protrusion formation on corneal lens in Drosophila menanogaster,
   Zoological Science 33, (2016), 583-591.
7. H. Kubo,
   On the pointwise decay estimate for the wave equation with compactly supported forcing term,
   Commun. Pure Appl. Anal., Vol.14 (4), (2015), 1469-1480.
8. H. Kubo,
   On the exterior problem for nonlinear wave equations with small initial data,
   Advanced Studies in Pure Mathematics 64, 2014 Nonlinear Dynamics in Partial Differential Equations, (2015), 281-288
9. H. Kubo,
   Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions,
   J. Differential Equations, 257 (2014), 2765-2800.
10. S. Katayama and H. Kubo,
    Global existence for quadratically perturbed massless Dirac equations under the null condition,
    in: "Fourier Analysis: Pseudo-Differential Operators,Time-Frequency Analysis and Partial Differential Equations" (edited by M. Ruzhansky and V. Turunen), (2014), 253-262, Birkh\"auser.
11. H. Kubo and K. Kubota,
    Generalized wave operators for a system of nonlinear wave equations in three space dimensions,
    Hokkaido Mathematical Journal, 42 (2013), 1-31
12. S. Katayama and H. Kubo,
    Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain,
    J. Hyper. Differential Equations, 10 (2013), 1-36.
13. S. Katayama, H. Kubo, and S. Lucente,
    Almost global existence for exterior Neumann problems of semilinear wave equations in 2D,
    Commun. Pure Appl. Anal. 12 (2013), 2331-2360.
14. H. Kubo,
    Global existence for exterior problems of semilinear wave equations with the null condition in 2D,
    Evolution Equations and Control Theory, 2 (2013), 319-335.
15. H. Kubo, A. Osaka, and M. Yazici,
    Global existence and blow-up for wave equations with weighted nonlinear terms in one space dimension,
    Interdisciplinary Information Sciences, 19 (2013), 143-148.
16. H. Kubo,
    Lower bounds for the lifespan of solutions to nonlinear wave equations in elasticity,
    In "Evolution Equations of Hyperbolic and Schrodinger Type" (Progress in Math., 301), M. Ruzhansky, M. Sugimoto, and J. Wirth (Editors) Birkhauser, Basel, (2012) 187-212.
17. Y. Korolev, H. Kubo, and A. Yagola,
    Parameter identification problem for a parabolic equation - application to the Black-Scholes option pricing model,
    J. Inverse Ill-Posed Probl. 20 (2012), 327-337.
18. H. Kubo and M. Takaki,
    A remark on long range effect for a system of semilinear wave equation,
    Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 42 suppl. (2010), 111-123.
19. S. Katayama and H. Kubo,
    The rate of convergence to the asymptotics for the wave equation in an exterior domain,
    Funkcial. Ekvac. 53 (2010), 331-358.
20. S. Katayama and H. Kubo,
    On the large time behavior of solutions to semilinear system of the wave equation,
    Proceedings of the 5th International ISSAC congress, (2009), 581-589.
21. S. Katayama and H. Kubo,
    Decay estimates of a tangential derivative to the light cone for the wave equation and their application,
    SIAM J. Math. Anal., 39 (2008), 1851-1862.
22. S. Katayama and H. Kubo,
    An alternative proof of global existence for nonlinear wave equations in an exterior domain,
    J. Math. Soc. Japan. 60 (2008), 1135-1170.
23. S. Katayama and H. Kubo,
    Asymptotic behavior of solutions to semilinear systems of wave equations,
    Indiana Univ. Math. J. 57 (2008), 377-400.
24. H. Kubo and S. Lucente,
    Note on weighted Strichartz estimates for Klein-Gordon equations with potential,
    Tsukuba J. Math., 31 (2007) 143－73.
25. H. Kubo,
    Uniform decay estimates for the wave equation in an exterior domain,
    in “Asymptotic analysis and singularities", Advanced Studies in Pure Mathematics 47-1, Math. Soc. of Japan, (2007), 31-54
26. H. Kubo,
    Asymptotic behavior of solutions to semilinear wave equations with dissipative structure,
    Discrete and Continuous Dynamical Systems, Supplement, (2007), 602-613.
27. H. Kubo, K. Kubota, and H. Sunagawa,
    Large time behavior of solutions to semilinear systems of wave equations,
    Math. Ann., 335 (2006), 435-478.
28. H. Kubo and K. Kubota,
    Existence and asymptotic behavior of radially symmetric solutions to a semilinear hyperbolic system in odd space dimensions,
    Chinese Ann. Math., Ser.,B., 27 (2006), 507-538.
29. H. Kubo and M. Ohta,
    Blowup for systems of semilinear wave equations in two space dimensions,
    Hokkaido Math. J., 35 (2006), 697-717.

Interdisciplinary Publications

1. H. Fudouzi, T. Hariyama, Y. Yamahama, S. Yoshioka, D. Ishii, K-i. Kimura, H. Kubo, M. Shimomura, Y. Uodu,
   Opal films with dome0shaped structures fabricated by hot embossing，
   Japanese Jounal of Polymer Science and Technology，70 (2013), 227-231. (Japanese)

　　*Publications of 2005 and earlier can be found here.