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Masahiro Ikeda
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Coupling-based invertible neural networks are universal diffeomorphism approximators
T Teshima, I Ishikawa, K Tojo, K Oono, M Ikeda, M Sugiyama
Advances in Neural Information Processing Systems 33, 3362-3373, 2020
1062020
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
M Ikeda, M Sobajima
Mathematische Annalen 372, 1017-1040, 2018
862018
Small data blow-up of L^2-solution for the nonlinear Schrödinger equation without gauge invariance
M Ikeda, Y Wakasugi
Differential and Integral Equations 26 (11/12), 1275-1285, 2013
752013
Blow-up phenomena of semilinear wave equations and their weakly coupled systems
M Ikeda, M Sobajima, K Wakasa
Journal of Differential Equations 267 (9), 5165-5201, 2019
582019
A note on the lifespan of solutions to the semilinear damped wave equation
M Ikeda, Y Wakasugi
Proceedings of the American Mathematical Society 143 (1), 163-171, 2015
552015
Lifespan of solutions to the damped wave equation with a critical nonlinearity
M Ikeda, T Ogawa
Journal of Differential Equations 261 (3), 1880-1903, 2016
522016
Small data blow-up of L (2) or H (1)-solution for the semilinear Schrödinger equation without gauge invariance
M Ikeda, T Inui
Journal of Evolution Equations 15 (3), 571-581, 2015
502015
Hypergraph clustering based on pagerank
Y Takai, A Miyauchi, M Ikeda, Y Yoshida
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge …, 2020
442020
Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
M Ikeda, M Sobajima
Nonlinear Analysis 182, 57-74, 2019
432019
Some non-existence results for the semilinear Schrödinger equation without gauge invariance
M Ikeda, T Inui
Journal of Mathematical Analysis and Applications 425 (2), 758-773, 2015
432015
Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
M Ikeda, T Inui
Analysis & PDE 10 (2), 481-512, 2017
412017
Universal approximation property of neural ordinary differential equations
T Teshima, K Tojo, M Ikeda, I Ishikawa, K Oono
arXiv preprint arXiv:2012.02414, 2020
392020
- estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
M Ikeda, T Inui, M Okamoto, Y Wakasugi
arXiv preprint arXiv:1710.06538, 2017
352017
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
M Ikeda, T Inui, Y Wakasugi
Nonlinear Differential Equations and Applications NoDEA 24, 1-53, 2017
352017
Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity
K Fujiwara, M Ikeda, Y Wakasugi
Funkcialaj Ekvacioj 62 (2), 157-189, 2019
272019
Metric on nonlinear dynamical systems with perron-frobenius operators
I Ishikawa, K Fujii, M Ikeda, Y Hashimoto, Y Kawahara
Advances in Neural Information Processing Systems 31, 2018
272018
Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
M Ikeda, Y Wakasugi
Proceedings of the American Mathematical Society 148 (1), 157-172, 2020
252020
Null structure in a system of quadratic derivative nonlinear Schrödinger equations
M Ikeda, S Katayama, H Sunagawa
Annales Henri Poincaré 16 (2), 535-567, 2015
232015
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
N Fukaya, V Georgiev, M Ikeda
Journal of Differential Equations 321, 258-295, 2022
212022
Finding Cheeger cuts in hypergraphs via heat equation
M Ikeda, A Miyauchi, Y Takai, Y Yoshida
arXiv preprint arXiv:1809.04396, 2018
21*2018
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