Masaya Maeda

Scipio Cuccagna, Masaya Maeda, The asymptotic stability on the line of ground states of the pure power NLS with 0<|p−3|≪1, arxiv.org/abs/2404.14287.

Scipio Cuccagna, Masaya Maeda, Federico Murgante, Stefano Scrobogna, On asymptotic stability on a center hypersurface at the solition for even solutions of the NLKG when 2≥p>5/3, accepted for publication in SIAM Journal on Mathematical Analysis, arxiv.org/abs/2307.16527 .

Masaya Maeda, Yohei Yamazaki, Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes, Journal of Differential Equations 387 (2024) 256--298, doi.org/10.1016/j.jde.2023.12.028 , https://arxiv.org/abs/2206.08156.

Masaya Maeda, Masafumi Yoneda, Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice, SUT Journal of Mathematics 59 (2023) no.1, 11--32, doi: 10.55937/sut/1685793568, arxiv.org/abs/2112.00998.

Scipio Cuccagna, Masaya Maeda, Stefano Scrobogna, Small energy stabilization for 1D Nonlinear Klein Gordon Equations, Journal of Differential Equations 350 (2023) 52--88, doi.org/10.1016/j.jde.2022.12.008, arxiv.org/abs/2206.08012.

Scipio Cuccagna, Masaya Maeda,  Asymptotic stability of kink with internal modes under odd perturbation, Nonlinear Partial Differential Equations and Applications NoDEA 30 (2023) no.1, Paper No.1, 47pp, doi.org/10.1007/s00030-022-00806-y, arxiv.org/abs/2203.13468.

Scipio Cuccagna, Masaya Maeda, On selection of standing wave at small energy in the 1D Cubic Schrödinger Equation with a trapping potential, Commun. Math. Phys. 396 (2022), no. 3, 1135–-1186. doi.org/10.1007/s00220-022-04487-7,  arxiv.org/abs/2109.08108.

Masaya Maeda, Asymptotic stability of small bound state of nonlinear quantum walks, Physica D: Nonlinear Phenomena 439 (2022)  133408, doi.org/10.1016/j.physd.2022.133408 , arxiv.org/abs/2112.01004.

Scipio Cuccagna, Masaya Maeda,  Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method, Journal of Evolution Equation 22 (2022) 51, doi.org/10.1007/s00028-022-00806-6,  arxiv.org/abs/2111.02681.

Scipio Cuccagna, Masaya Maeda, A note on small data soliton selection for nonlinear Schrödinger equations with potential, In: Georgiev, V., Michelangeli, A., Scandone, R. (eds) Qualitative Properties of Dispersive PDEs. INdAM 2021. Springer INdAM Series, vol 52. Springer, Singapore, doi.org/10.1007/978-981-19-6434-3_1, arxiv.org/abs/2107.13878.

Masaya Maeda, Akito Suzuki, Kazuyuki Wada, Absence of singular continuous spectra and embedded eigenvalues for one dimensional quantum walks with general long range coins, Reviews in Mathematical Physics 34 (2022) 5, paper no. 2250016 23pp, doi.org/10.1142/S0129055X22500167,  arxiv.org/abs/2007.12832.

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki and Kanako Suzuki, Dispersive estimates for quantum walks on 1D lattice,  J. Math. Soc. Japan 74 (2022) no.1, 217--246, doi.org/10.2969/jmsj/85218521, arxiv.org/abs/1808.05714.

Takumi Aso, Masaya Maeda, A remark on uniform Strichartz estimate for quantum walks on 1D lattice, Yokohama Mathematical Journal 67 (2021) 1--8, ymj.ynu.ac.jp/wp/, arxiv.org/abs/2112.01000.

Scipio Cuccagna, Masaya Maeda, Coordinates at small energy and refined profiles for the Nonlinear Schrödinger Equation, Annals of PDE 7 (2021) no. 2, Paper No. 16, 34 pp., doi.org/10.1007/s40818-021-00105-2, arxiv.org/abs/2004.01366.

Scipio Cuccagna, Masaya Maeda,  A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II, Discrete & Continuous Dynamical Systems - S 14 (2021) no. 5, 1693--1716, doi:10.3934/dcdss.2020450 , arXiv:2009.00573.

Masaya Maeda, Stabilization of small solutions of discrete NLS with potential having two eigenvalues, Applicable Analysis 100 (2021) no. 8, 1603–1633, doi.org/10.1080/00036811.2019.1659952 , arxiv.org/abs/1908.08630 .

Masaya Maeda, Akito Suzuki,  Continuous limits of linear and nonlinear quantum walks, Reviews in Mathematical Physics 32 (2020) no. 4, 2050008, 20pp., doi.org/10.1142/S0129055X20500087, arxiv.org/abs/1902.02017 .

Scipio Cuccagna, Masaya Maeda,  On nonlinear profile decompositions and scattering for an NLS-ODE model, International Mathematics Research Notices 18 (2020),  5679--5722, doi.org/10.1093/imrn/rny173 , arxiv.org/abs/1701.02849.

Scipio Cuccagna, Masaya Maeda, Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state, Journal of Differential Equations 268 (2020) no. 10, 6416--6480,  doi.org/10.1016/j.jde.2019.11.047,  arxiv.org/abs/1809.06584.

Scipio Cuccagna, Masaya Maeda, On stability of small solitons of the 1-D NLS with a trapping delta potential, SIAM Journal on Mathematical Analysis 51 (2019) no. 6, 4311--4331, doi.org/10.1137/19M1258402, arxiv.org/abs/1904.11869.

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki and Kanako Suzuki, Dynamics of solitons to a nonlinear quantum walks, Journal of Physics Communications 3 (2019) no. 7, 075002, doi.org/10.1088/2399-6528/aafe2c.

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki and Kanako Suzuki, Weak limit theorem for a nonlinear quantum walk, Quantum Information Processing 17 (2018) no. 9, Art. 215, 9 pp, doi.org/10.1007/s11128-018-1981-z , arxiv.org/abs/1801.06625 .

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki and Kanako Suzuki,  Scattering and inverse scattering for nonlinear quantum walks,  Discrete and Continuous Dynamical Systems. Series A 38 (2018) no. 7, 3687--3703, doi/10.3934/dcds.2018159, arxiv.org/abs/1801.03214.

Masaya Maeda,  Existence and asymptotic stability of quasi-periodic solutions of discrete NLS with potential, SIAM Journal on Mathematical Analysis 49 (2017) no. 5, 3396--3426, doi.org/10.1137/16M1069729 , arxiv.org/abs/1412.3213.

Scipio Cuccagna, Masaya Maeda, On orbital instability of spectrally stable vortices of the NLS in the plane Journal of Nonlinear Science 26 (2016) no. 6, 1851--1894, doi.org/10.1007/s00332-016-9322-9, arxiv.org/abs/1508.03146.

Scipio Cuccagna, Masaya Maeda, Tuoc V. Phan,  On small energy stabilization in the NLKG with a trapping potential, Nonlinear Analysis 146 (2016) 32--58, doi.org/10.1016/j.na.2016.08.009, arxiv.org/abs/1511.04672.

Scipio Cuccagna, Masaya Maeda, On small energy stabilization in the NLS with a trapping potential,  Analysis and PDE 8 (2015) no. 6, 1289--1349, doi:10.2140/apde.2015.8.1289, arxiv.org/abs/1309.0655 .

Scipio Cuccagna,  Masaya Maeda,  On weak interaction between a ground state and trapping potential, Discrete and Continuous Dynamical Systems. Series A 35 (2015) no. 8, 3343--3376, doi:10.3934/dcds.2015.35.3343, arxiv.org/abs/1404.6308.

Masaya Maeda, Satoshi Masaki, A survey on nonlinear Schrödinger equation with growing nonlocal nonlinearity, Advanced Studies in Pure Mathematics 64 (2015) 273--280, projecteuclid.org/euclid.aspm/1540934223 .

Masaya Maeda, Stability of ground states of NLS with fourth order dispersion, Advanced Studies in Pure Mathematics 64 (2015) 445--452, projecteuclid.org/euclid.aspm/1540934242 .

Scipio Cuccagna, Masaya Maeda, On weak interaction between a ground state and a non-trapping potential, Journal of Differential Equations 256 (2014) no. 4, 1395--1466, doi.org/10.1016/j.jde.2013.11.002 , arxiv.org/abs/1309.4878 .

Masaya Maeda, Kanako Suzuki, Concentration of least-energy solutions to a semilinear Neumann problem in thin domains, Journal of Mathematical Analysis and Applications 411 (2014) no. 2, 465--484, doi.org/10.1016/j.jmaa.2013.09.036 .

Masaya Maeda, Satoshi Masaki, An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity, Differential and Integral Equations 26 (2013) no.7/8, 731--756, projecteuclid.org/euclid.die/1369057815, arxiv.org/abs/1109.2653.

Nobu Kishimoto, Masaya Maeda, Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 30 (2013) no. 5, 791--824, doi.org/10.1016/j.anihpc.2012.09.003, arxiv.org/abs/1109.3528.

Masaya Maeda, Stability of bound states of Hamiltonian PDEs in the degenerate cases, Journal of Functional Analysis 263 (2012) no. 2, 511--528, doi.org/10.1016/j.jfa.2012.04.006, arxiv.org/abs/1107.3629.

Masaya Maeda, Jun-ichi Segata, Existence and stability of standing waves of fourth order nonlinear Schrödinger type equation related to vortex filament", Funkcialaj Ekvacioj 54 (2011) no. 1, 1--14, doi.org/10.1619/fesi.54.1.

Masaya Maeda, On the symmetry of the ground states of nonlinear Schrödinger equation with potential, Advanced Nonlinear Studies 10 (2010) no. 4, 895--925, doi.org/10.1515/ans-2010-0409 .

Masaya Maeda, Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two Nonlinear Analysis 72 (2010) no. 3/4, 2100--2113, doi.org/10.1016/j.na.2009.10.010 .

Masaya Maeda, Stability and instability of standing waves for 1-dimensional nonlinear Schrödinger equation with multiple-power nonlinearity, Kodai Mathematical Journal 31 (2008) no. 2, 263--271, projecteuclid.org/euclid.kmj/1214442798.