NAITO Yuki

J-GLOBAL         Last updated: Jul 22, 2019 at 18:29
 
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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 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

 
Yūki Naito, Takasi Senba
Nonlinear Analysis, Theory, Methods and Applications   181 265-293   Apr 2019
© 2018 Elsevier Ltd We consider positive solutions of the semilinear heat equation with supercritical power nonlinearity, and construct peaking solutions by connecting a backward self-similar solution with a forward self-similar solution. In parti...
Yuki Naito
Proceedings of the Royal Society of Edinburgh Section A: Mathematics      Jan 2019
© 2019 Royal Society of Edinburgh. We consider the Cauchy problem where N > 2, p > 1, and u0 is a bounded continuous non-negative function in RN. We study the case where u0(x) decays at the rate |x|-2/(-1) as |x| and investigate the convergence pr...
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...

Misc

 
Naito Yuki, Suzuki Takashi, Yoshida Kiyoshi
RIMS Kokyuroku   1197 189-195   Apr 2001
Yuki Naito, Takashi Suzuki
Journal of Differential Equations   163 407-428   May 2000
The symmetry properties of positive solutions of the equation Δu+1/x · ∇u+ 1/p-1 u + up = 0 in Rn, where n ≥ 2, p > (n + 2)/n, was studied. It was proved that u must be radially symmetric about the origin provided u(x) = o(|x|-2/(p-1)) as \x\ → ∞,...
Yūki Naito
Journal of the Mathematical Society of Japan   52 637-644   Jan 2000
We consider the global properties of nonnegative solutions of the semilinear elliptic equations in the entire space. By employing Pohozaev identity in the entire space and the results concerning the asymptotic behavior of nonnegative solutions, we...

Conference Activities & Talks

 
Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations
NAITO Yuki
8 Mar 2019   
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   

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