NAITO Yuki

J-GLOBAL         Last updated: Nov 21, 2017 at 18:27
 
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Name
NAITO Yuki
Affiliation
Ehime University
Section
Graduate School of Science and Engineering, Mathematics, Physics, and Earth Sciences, Graduate School of Science and Engineering Mathematics,Physics, and Earth Sciences
Job title
Professor
Degree
Doctor of Science(Hiroshima University)

Research Areas

 
 

Academic & Professional Experience

 
2009
   
 
- Graduate school of Science and Engineering
 
2007
 - 
2009
 Graduate school of Engineering, Kobe University
 
1999
 - 
2007
 Faculty of Engineering
 
1996
 - 
1999
 Faculty of Engineering, Kobe University
 
1990
 - 
1996
 Faculty of Science, Hiroshima University
 

Education

 
 
 - 
1989
Department of Mathematics, Graduate School, Division of Natural Science, Hiroshima University
 
 
 - 
1990
Department of Mathematics, Graduate School, Division of Natural Science, Hiroshima University
 
 
 - 
1987
Department of Mathematics, Faculty of Science, Hiroshima University
 

Published Papers

 
Yūki Naito, Takashi Suzuki, Yohei Toyota
Nonlinear Analysis, Theory, Methods and Applications   151 18-40   Mar 2017   [Refereed]
© 2016 The Author(s)We derive a priori bounds for positive solutions of the superlinear elliptic problems −Δu=a(x)up on a bounded domain Ω in RN, where a(x) is Hölder continuous in Ω. Our main motivation is to study the case where a(x)≥0, a(x)≢0 a...
Global attractivity and convergence rate in the weighted norm for a supercritical semilinear heat equation
NAITO Yuki
Differential Integral Equations   28(7-8) 777-800   Jul 2015   [Refereed]
A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent
NAITO Yuki
Advanced Studies in Pure Mathematics   64 461-468   2015   [Refereed]
Soohyun Bae, Yuki Naito
Journal of Differential Equations   257 2430-2463   Oct 2014   [Refereed]
We consider the semilinear elliptic equation δu+K(|x|)up=0 in RN for N>2 and p>1, and study separation phenomena of positive radial solutions. With respect to intersection and separation, we establish a classification of the solution structures, a...
Yūki Naito
Kodai Mathematical Journal   37 646-667   Jan 2014   [Refereed]
© 2014, Tokyo Institute of Technology. All rights reserved. We study the behavior of solutions to the Cauchy problem for a semilinear heat equation with supercritical nonlinearity. It is known that two solutions approach each other if these initia...
Yuki Naito, Mervan Pašić
International Journal of Differential Equations   2013    Nov 2013   [Refereed]
We study a new kind of asymptotic behaviour near t = 0 for the nonautonomous system of two linear differential equations: x ' (t) = A (t) x (t), t ε (0, t0], where the matrix-valued function A = A (t) has a kind of singularity at t = 0. It is call...
Yuki Naito, Takasi Senba
Communications on Pure and Applied Analysis   12 1861-1880   Sep 2013   [Refereed]
In this paper, we consider solutions to a Cauchy problem for a parabolic-elliptic system in two dimensional space. This system is a simplified version of a chemotaxis model, and is also a model of self-interacting particles. The behavior of soluti...
Yuki Naito
Journal of Differential Equations   253 3029-3060   Dec 2012   [Refereed]
We consider the Cauchy problem, where N>2, p>1, and u 0 is a bounded continuous non-negative function in R N. We study the case where u 0(x) decays at the rate |x| -2/(p-1) as |x|→∞, and investigate the stability and instability properties of forw...
Yuki Naito, Takasi Senba
Discrete and Continuous Dynamical Systems   32 3691-3713   Jul 2012   [Refereed]
We consider a parabolic-elliptic system of equations that arises in modelling the chemotaxis in bacteria and the evolution of self-attracting clusters. In the case space dimension 3 ≤ N ≤ 9, we will derive criteria of the blow-up rate of solutions...
Yuki Naito
Bulletin of the London Mathematical Society   44 545-562   Jun 2012   [Refereed]
We consider conditionally oscillatory second-order linear differential equations with a parameter, and investigate the asymptotic behaviour and number of zeros of solutions to the equations. In particular, we find criteria for the equations to be ...

Misc

 
Naito Yuki, Suzuki Takashi, Yoshida Kiyoshi
RIMS Kokyuroku   1197 189-195   Apr 2001

Conference Activities & Talks

 
Structure of positive solutions for semilinear elliptic equations with supercritical growth [Invited]
NAITO Yuki
12 Dec 2015   
Structure of positive solutions for semilinear elliptic equations with supercritical growth [Invited]
NAITO Yuki
11 Nov 2015   
Global attractivity in the weighted norm for a supercritical semilinear heat equation
NAITO Yuki
15 Sep 2015   
Separation structure of positive radial solutions for semilinear elliptic equations
NAITO Yuki
Equadiff 2015 (Lyon, France)   7 Jul 2015   
Some remarks on separation property of solutions for elliptic equations with exponential nonlinearity [Invited]
NAITO Yuki
2015 International Workshop on Nonlinear PDE and Application   12 Jun 2015   
Threshold solutions for semilinear heat equations with polynomial decay initial data [Invited]
NAITO Yuki
6 Jun 2015   
Threshold solutions for semilinear heat equations with polynomial decay initial data [Invited]
NAITO Yuki
21 May 2015