NAITO Yuki

J-GLOBAL         Last updated: Jun 20, 2019 at 13:43
 
Avatar
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 funding number
10231458
ORCID ID
0000-0001-9014-9690

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

 
Miyamoto Yasuhito, Naito Yuki
JOURNAL OF DIFFERENTIAL EQUATIONS   265(7) 2842-2885   Oct 2018   [Refereed]
Bae Soohyun, Naito Yuki
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS   38(9) 4537-4554   Sep 2018   [Refereed]
Naito Yuki, Pasic Mervan, Tanaka Satoshi
MATHEMATICA SLOVACA   68(3) 575-590   Jun 2018   [Refereed]
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...
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...

Misc

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

Conference Activities & Talks

 
Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity [Invited]
NAITO Yuki
10 Dec 2018   
Singular sextremal solutions for supercritical elliptic equations in a ball
NAITO Yuki
24 Sep 2018   
Incomplete blow-up solutions for semilinear heat equations with supercritical nonlinearity
NAITO Yuki
The 12Th AIMS conference, SS102   8 Jul 2018   
Positive singular solutions for semilinear elliptic equationswith supercritical nonlinearity
NAITO Yuki
The 12Th AIMS conference, SS101   5 Jul 2018   
An ODE approach to backward self-similar solutions for semilinear heat equations [Invited]
NAITO Yuki
NTHU Department of Mathematics Visiting Scholar Colloquium,   4 Jul 2018   
Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data [Invited]
NAITO Yuki
1 Jun 2018   
Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data
NAITO Yuki
20 Mar 2018   
A shooting approach to backward self-similar solutions for semilinear heat equations
NAITO Yuki
7 Mar 2018   
Singular extremal solutions for supercritical elliptic equations in a ball, [Invited]
NAITO Yuki
19 Jan 2018   
Asymptotically self-similar behavior of global solutions to semilinear heat equations, [Invited]
NAITO Yuki
Nonlinear Analysis, PDEs, and Applications(Jeju, Korea)   22 Sep 2017   

Social Contribution

 
Organization of conference
[Others]  S.Tanaka, S.Onizuka, Y.Naito, E.Yanagida  International Workshop on Nonlinear PDEs 2018 in Okayama  13 Dec 2018 - 17 Dec 2018
Mini symposium
[Others]  Mini symposium: Qualitative theory of nonlinear elliptic equations  (Equadiff2017,Bratislava, Slovakia)  23 Jul 2017