NAITO Yuki Last updated: Jul 22, 2019 at 18:29
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
0000000190149690
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 265293 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 selfsimilar solution with a forward selfsimilar 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 nonnegative function in RN. We study the case where u0(x) decays at the rate x2/(1) as x and investigate the convergence pr...
Miyamoto Yasuhito, Naito Yuki
JOURNAL OF DIFFERENTIAL EQUATIONS 265(7) 28422885 Oct 2018 [Refereed]
Bae Soohyun, Naito Yuki
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 38(9) 45374554 Sep 2018 [Refereed]
Naito Yuki, Pasic Mervan, Tanaka Satoshi
MATHEMATICA SLOVACA 68(3) 575590 Jun 2018 [Refereed]
Yūki Naito, Takashi Suzuki, Yohei Toyota
Nonlinear Analysis, Theory, Methods and Applications 151 1840 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(78) 777800 Jul 2015 [Refereed]
A remark on selfsimilar solutions for a semilinear heat equation with critical Sobolev exponent
NAITO Yuki
Advanced Studies in Pure Mathematics 64 461468 2015 [Refereed]
Soohyun Bae, Yuki Naito
Journal of Differential Equations 257 24302463 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 646667 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
Miyamoto Yasuhito, Naito Yuki
数理解析研究所講究録 (2006) 2029 Nov 2016
Naito Yuki
RIMS Kokyuroku 1702 6570 Aug 2010
Naito Yuki, Sato Tokushi
RIMS Kokyuroku 1671 9195 Dec 2009
NAITO Yuki, SENBA Takasi
RIMS Kokyuroku Bessatsu 15 8799 Dec 2009
Tanaka Satoshi, Naito Yuki
RIMS Kokyuroku 1474 162168 Feb 2006
Naito Yuki, Sato Tokushi
RIMS Kokyuroku 1547 114119 Apr 2007
Naito Yuki
RIMS Kokyuroku 1309 254257 Feb 2003
Naito Yuki
RIMS Kokyuroku 1254 151154 Apr 2002
Naito Yuki
RIMS Kokyuroku 1204 18 Apr 2001
Naito Yuki, Suzuki Takashi, Yoshida Kiyoshi
RIMS Kokyuroku 1197 189195 Apr 2001
Yuki Naito, Takashi Suzuki
Journal of Differential Equations 163 407428 May 2000
The symmetry properties of positive solutions of the equation Δu+1/x · ∇u+ 1/p1 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(x2/(p1)) as \x\ → ∞,...
Yūki Naito
Journal of the Mathematical Society of Japan 52 637644 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...
Naito Yuki, Suzuki Takashi
RIMS Kokyuroku 1083 181186 Feb 1999
Conference Activities & Talks
Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations
NAITO Yuki
8 Mar 2019
Incomplete blowup 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 blowup 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 selfsimilar 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 selfsimilar 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