Ikehata Ryo

J-GLOBAL         Last updated: Dec 12, 2018 at 04:05
 
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Name
Ikehata Ryo
E-mail
ikehatarhiroshima-u.ac.jp
Affiliation
Hiroshima University
Degree
Doctor of Science(Tokyo University of Science)
Research funding number
10249758

Research Areas

 
 

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(9-10) 939-956   2012   [Refereed]
We consider the Cauchy problem in R-n 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 L-2-norm of solutions based on the energy m...
Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN   65(1) 183-236   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) >= V-0(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 1-17   Apr 1988   [Refereed]
Yosida approximation and nonlinear hyperbolic equation (with N.Okazawa)
Nonlinear Analysis= TMA   15 479-495   Apr 1990   [Refereed]
On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms
Nonlinear Analysis= TMA   17 181-203   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 n-D 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 da-mping 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 semi-linear 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 Ikehata-Matsuyama (which was newly developed in 1999) to some evolution equations in unbounded domains. For this we have obtained several results concerning the global well-po...