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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
1142020
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
882018
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
782013
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
612019
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
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
532015
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
Hypergraph clustering based on pagerank
Y Takai, A Miyauchi, M Ikeda, Y Yoshida
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge …, 2020
492020
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
452019
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
452015
Universal approximation property of neural ordinary differential equations
T Teshima, K Tojo, M Ikeda, I Ishikawa, K Oono
arXiv preprint arXiv:2012.02414, 2020
422020
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
422017
- 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
372017
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
342017
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
302018
Universal approximation property of invertible neural networks
I Ishikawa, T Teshima, K Tojo, K Oono, M Ikeda, M Sugiyama
Journal of Machine Learning Research 24 (287), 1-68, 2023
272023
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
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
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
232022
Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise
Y Hashimoto, I Ishikawa, M Ikeda, Y Matsuo, Y Kawahara
arXiv preprint arXiv:1909.03634, 2019
232019
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