Ikehata Ryo
Last updated: Dec 12, 2018 at 04:05
 Name  Ikehata Ryo 

Email  ikehatarhiroshimau.ac.jp 

Affiliation  Hiroshima University 

Degree  Doctor of Science(Tokyo University of Science) 

Research funding number  10249758 


Academic & Professional Experience
Apr 2000
Assistant Professor, Graduate School of Education, Hiroshima University
Apr 1992

Mar 1996
Lecturer, Tokyo National College of Technology
Apr 1996

Mar 1998
Lecturer, Faculty of School Education, Hiroshima University
Published Papers
ENERGY DECAY ESTIMATES FOR WAVE EQUATIONS WITH A FRACTIONAL DAMPING
Ikehata, Ryo; Natsume, Masato
DIFFERENTIAL AND INTEGRAL EQUATIONS 25(910) 939956 2012 [Refereed]
We consider the Cauchy problem in Rn for wave equations with a fractional damping. We generalize partially the previous results due to [12], and derive sharp decay estimates for the total energy and the L2norm of solutions based on the energy m...
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 65(1) 183236 Jan 2013 [Refereed]
We study the long time behavior of solutions of the wave equation with a variable damping term V(x)u(t) in the case of critical decay V(x) >= V0(1 + vertical bar x vertical bar(2))(1/2) (see condition (A) below). The solutions manifest a new thr...
On the existence of global solutions for some nonlinear hyperbolic equations with Neumann conditions
TRU Mathematics 24 117 Apr 1988 [Refereed]
Yosida approximation and nonlinear hyperbolic equation (with N.Okazawa)
Nonlinear Analysis= TMA 15 479495 Apr 1990 [Refereed]
On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms
Nonlinear Analysis= TMA 17 181203 Apr 1991 [Refereed]
Conference Activities & Talks
Asymptotic profiles for wave equation with strong damping. [Invited]
Ryo Ikehata
Asymptotic profiles for wave equation with strong damping. [Invited]
11 Dec 2015
Fast energy decay for wave equations with a localized damping in the nD half space [Invited]
Ryo IKEHATA
Seminar on Partial Differential Equations at UFSC, Brasil 16 Dec 2016 Federal University of Santa Catarina, Department of Mathematics
Research Grants & Projects
Project Year: 2015  2019
MEXT: KAKENHI
Project Year: 2010  2013 Investigator(s): IKEHATA, Ryo
We discovered the existence of the double structure in the wave equations with damping terms decaying critically near infinity from the viewpoint of the energy decay rates. Secondly we
caught the asymptotic profile of solutions to the strongly da...
Project Year: 2010  2014
MEXT: KAKENHI
Project Year: 2007  2009 Investigator(s): IKEHATA, Ryo
Firstly we determined the decay rate of the energy for some semilinear wave equations with a damping coefficient decaying critically near infinity. Secondly we obtained the local energy decay property in an exterior domain for the linear wave equ...
MEXT: KAKENHI
Project Year: 2002  2004 Investigator(s): IKEHATA, Ryo
We first discussed the possibility of applications of the device due to IkehataMatsuyama (which was newly developed in 1999) to some evolution equations in unbounded domains. For this we have obtained several results concerning the global wellpo...