Lou, Zhaowei; Wu, Youchao A KAM theorem for degenerate infinite-dimensional reversible systems. (English) Zbl 07823655 Electron. J. Differ. Equ. 2024, Paper No. 2, 20 p. (2024). MSC: 37K55 35B15 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{Y. Wu}, Electron. J. Differ. Equ. 2024, Paper No. 2, 20 p. (2024; Zbl 07823655) Full Text: Link
Chen, Yin; Geng, Jiansheng Linearly stable KAM tori for one dimensional forced Kirchhoff equations with refined Töplitz-Lipschitz property. (English) Zbl 07806931 J. Differ. Equations 387, 324-377 (2024). MSC: 35Q74 74K10 74H45 37K55 35B10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Geng}, J. Differ. Equations 387, 324--377 (2024; Zbl 07806931) Full Text: DOI
Sun, Yingte; Wang, Chen Localization of polynomial long-range hopping lattice operator with uniform electric fields. (English) Zbl 07790337 Lett. Math. Phys. 114, No. 1, Paper No. 6, 17 p. (2024). MSC: 47B93 37K55 47A55 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{C. Wang}, Lett. Math. Phys. 114, No. 1, Paper No. 6, 17 p. (2024; Zbl 07790337) Full Text: DOI
Wu, Xiaoqing; Zhao, Juan Almost global existence for \(d\)-dimensional beam equation with derivative nonlinear perturbation. (English) Zbl 07783811 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 51, 28 p. (2024). MSC: 37K55 37J40 35B35 35Q35 PDFBibTeX XMLCite \textit{X. Wu} and \textit{J. Zhao}, Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 51, 28 p. (2024; Zbl 07783811) Full Text: DOI
Xu, Yang; Yan, Jun; Zhao, Kai Stability and weak KAM solutions of contact Hamilton-Jacobi equation. (English) Zbl 07783143 Proc. Am. Math. Soc. 152, No. 2, 725-738 (2024). MSC: 37J40 37J51 37J55 37K55 35F21 35D40 49L25 70K43 PDFBibTeX XMLCite \textit{Y. Xu} et al., Proc. Am. Math. Soc. 152, No. 2, 725--738 (2024; Zbl 07783143) Full Text: DOI
Feola, Roberto; Massetti, Jessica Elisa Non-resonant conditions for the Klein-Gordon equation on the circle. arXiv:2403.03936 Preprint, arXiv:2403.03936 [math.AP] (2024). MSC: 35L05 37K55 37J40 BibTeX Cite \textit{R. Feola} and \textit{J. E. Massetti}, ``Non-resonant conditions for the Klein-Gordon equation on the circle'', Preprint, arXiv:2403.03936 [math.AP] (2024) Full Text: arXiv OA License
Berti, Massimiliano; Feola, Roberto; Procesi, Michela; Terracina, Shulamit Reducibility of Klein-Gordon equations with maximal order perturbations. arXiv:2402.11377 Preprint, arXiv:2402.11377 [math.AP] (2024). MSC: 37K55 35L05 BibTeX Cite \textit{M. Berti} et al., ``Reducibility of Klein-Gordon equations with maximal order perturbations'', Preprint, arXiv:2402.11377 [math.AP] (2024) Full Text: arXiv OA License
Bernier, Joackim; Camps, Nicolas Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori. arXiv:2402.04122 Preprint, arXiv:2402.04122 [math.AP] (2024). MSC: 35B34 35B35 35Q55 37K45 37K55 BibTeX Cite \textit{J. Bernier} and \textit{N. Camps}, ``Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori'', Preprint, arXiv:2402.04122 [math.AP] (2024) Full Text: arXiv OA License
Liu, Huiying; Chen, Bochao; Gao, Yixian Response solutions for beam equations with nonlocal nonlinear damping and Liouvillean frequencies. arXiv:2401.02628 Preprint, arXiv:2401.02628 [math.AP] (2024). MSC: 37K55 35Q40 BibTeX Cite \textit{H. Liu} et al., ``Response solutions for beam equations with nonlocal nonlinear damping and Liouvillean frequencies'', Preprint, arXiv:2401.02628 [math.AP] (2024) Full Text: arXiv OA License
Procesi, Michela Stability and recursive solutions in Hamiltonian PDEs. (English) Zbl 07823077 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3552-3574 (2023). MSC: 37K55 37K45 35B35 35Q41 PDFBibTeX XMLCite \textit{M. Procesi}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3552--3574 (2023; Zbl 07823077) Full Text: DOI OA License
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela Small amplitude weak almost periodic solutions for the 1d NLS. (English) Zbl 07783728 Duke Math. J. 172, No. 14, 2643-2714 (2023). MSC: 37K55 35Q55 35B15 PDFBibTeX XMLCite \textit{L. Biasco} et al., Duke Math. J. 172, No. 14, 2643--2714 (2023; Zbl 07783728) Full Text: DOI arXiv Link
Sun, Yingte The stability of Sobolev norms for the linear wave equation with unbounded perturbations. (English) Zbl 07783342 J. Math. Phys. 64, No. 12, Article ID 122703, 31 p. (2023). MSC: 37K55 35L05 PDFBibTeX XMLCite \textit{Y. Sun}, J. Math. Phys. 64, No. 12, Article ID 122703, 31 p. (2023; Zbl 07783342) Full Text: DOI arXiv
Chang, Ningning; Geng, Jiansheng; Sun, Yingnan Response solutions for KdV equations with Liouvillean frequency. (English) Zbl 07773872 Front. Math. (Beijing) 18, No. 5, 1083-1112 (2023). MSC: 37K55 35Q53 PDFBibTeX XMLCite \textit{N. Chang} et al., Front. Math. (Beijing) 18, No. 5, 1083--1112 (2023; Zbl 07773872) Full Text: DOI
Roulley, Emeric Periodic and quasi-periodic Euler-\( \alpha\) flows close to Rankine vortices. (English) Zbl 1526.35042 Dyn. Partial Differ. Equ. 20, No. 4, 311-366 (2023). MSC: 35B32 35Q31 37K55 PDFBibTeX XMLCite \textit{E. Roulley}, Dyn. Partial Differ. Equ. 20, No. 4, 311--366 (2023; Zbl 1526.35042) Full Text: DOI arXiv
Bernier, Joackim; Grébert, Benoît; Rivière, Gabriel Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\). (English) Zbl 07752592 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1009-1049 (2023). Reviewer: Arsen Melikyan (Brasília) MSC: 37K55 37K45 37K40 35R01 33C55 35Q40 35Q75 PDFBibTeX XMLCite \textit{J. Bernier} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1009--1049 (2023; Zbl 07752592) Full Text: DOI arXiv
Ge, Chuanfang; Geng, Jiansheng Quasi-periodic solutions for quintic completely resonant derivative beam equations on \(\mathbb{T}^2\). (English) Zbl 1521.37084 J. Math. Phys. 64, No. 9, Article ID 092702, 35 p. (2023). MSC: 37K55 35Q55 35B10 35B15 35R01 35Q51 PDFBibTeX XMLCite \textit{C. Ge} and \textit{J. Geng}, J. Math. Phys. 64, No. 9, Article ID 092702, 35 p. (2023; Zbl 1521.37084) Full Text: DOI
Ge, Chuanfang; Geng, Jiansheng; Yi, Yingfei Quasi-periodic breathers in granular chains with Hertzian contact potential. (English) Zbl 1527.37081 J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023). MSC: 37K60 37K55 37J40 34C15 70K43 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023; Zbl 1527.37081) Full Text: DOI
Chen, Bochao; Gao, Yixian; Li, Yong; Yang, Xue Response solutions for wave equations with variable wave speed and periodic forcing. (English) Zbl 07735781 J. Dyn. Differ. Equations 35, No. 1, 811-844 (2023). MSC: 35L71 35B10 37K55 58C15 PDFBibTeX XMLCite \textit{B. Chen} et al., J. Dyn. Differ. Equations 35, No. 1, 811--844 (2023; Zbl 07735781) Full Text: DOI arXiv
Feola, Roberto; Grébert, Benoît; Iandoli, Felice Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori. (English) Zbl 1526.37082 Anal. PDE 16, No. 5, 1133-1203 (2023). MSC: 37K40 37K45 37K55 35S50 35B35 35B45 35Q55 35Q51 PDFBibTeX XMLCite \textit{R. Feola} et al., Anal. PDE 16, No. 5, 1133--1203 (2023; Zbl 1526.37082) Full Text: DOI arXiv
Shi, Yanling; Xu, Junxiang Quasi-periodic solutions for a generalized higher-order Boussinesq equation. (English) Zbl 07724037 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 139, 23 p. (2023). Reviewer: Catalin Popa (Iaşi) MSC: 37K55 37K45 35Q35 35Q51 35B10 35B15 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{J. Xu}, Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 139, 23 p. (2023; Zbl 07724037) Full Text: DOI
Franzoi, Luca Reducibility for a linear wave equation with Sobolev smooth fast-driven potential. (English) Zbl 07721220 Discrete Contin. Dyn. Syst. 43, No. 9, 3251-3285 (2023). MSC: 35L20 35B15 37K55 PDFBibTeX XMLCite \textit{L. Franzoi}, Discrete Contin. Dyn. Syst. 43, No. 9, 3251--3285 (2023; Zbl 07721220) Full Text: DOI arXiv
Capuzzo Dolcetta, Italo; Davini, Andrea On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case. (English) Zbl 1518.35227 Commun. Partial Differ. Equations 48, No. 4, 576-622 (2023). MSC: 35F21 35B10 35D40 35B40 35B41 37K55 PDFBibTeX XMLCite \textit{I. Capuzzo Dolcetta} and \textit{A. Davini}, Commun. Partial Differ. Equations 48, No. 4, 576--622 (2023; Zbl 1518.35227) Full Text: DOI arXiv
Iturriaga, Renato; Wang, Kaizhi A discrete weak KAM method for first-order stationary mean field games. (English) Zbl 1523.37079 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1253-1274 (2023). MSC: 37K55 35Q89 91A16 39A12 PDFBibTeX XMLCite \textit{R. Iturriaga} and \textit{K. Wang}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 1253--1274 (2023; Zbl 1523.37079) Full Text: DOI
Enciso, Alberto; Peralta-Salas, Daniel; Romaniega, Álvaro Beltrami fields exhibit knots and chaos almost surely. (English) Zbl 07710187 Forum Math. Sigma 11, Paper No. e56, 46 p. (2023). MSC: 35Q31 60G15 37H05 37K55 35B40 35J05 35P99 42A38 35R60 PDFBibTeX XMLCite \textit{A. Enciso} et al., Forum Math. Sigma 11, Paper No. e56, 46 p. (2023; Zbl 07710187) Full Text: DOI arXiv
Gao, Meina Invariant tori for the Hamiltonian derivative wave equation with higher order nonlinearity. (English) Zbl 1527.37080 Commun. Pure Appl. Anal. 22, No. 5, 1429-1455 (2023). MSC: 37K55 35B10 35B15 PDFBibTeX XMLCite \textit{M. Gao}, Commun. Pure Appl. Anal. 22, No. 5, 1429--1455 (2023; Zbl 1527.37080) Full Text: DOI
Geng, Jiansheng; Lou, Zhaowei; Sun, Yingnan A KAM theorem for two dimensional completely resonant reversible Schrödinger systems. (English) Zbl 1519.37091 J. Dyn. Differ. Equations 35, No. 2, 1611-1641 (2023). MSC: 37K55 35B15 35Q55 PDFBibTeX XMLCite \textit{J. Geng} et al., J. Dyn. Differ. Equations 35, No. 2, 1611--1641 (2023; Zbl 1519.37091) Full Text: DOI
Sun, Yingte; Li, Siming; Wu, Xiaoqing Exponential and sub-exponential stability times for the derivative wave equation. (English) Zbl 1519.37092 Discrete Contin. Dyn. Syst. 43, No. 6, 2186-2212 (2023). MSC: 37K55 35B35 35Q35 PDFBibTeX XMLCite \textit{Y. Sun} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2186--2212 (2023; Zbl 1519.37092) Full Text: DOI
Lou, Zhaowei; Chang, Ningning Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies. (English) Zbl 1518.37074 Z. Angew. Math. Phys. 74, No. 2, Paper No. 52, 24 p. (2023). MSC: 37K55 35B15 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{N. Chang}, Z. Angew. Math. Phys. 74, No. 2, Paper No. 52, 24 p. (2023; Zbl 1518.37074) Full Text: DOI
Ma, Fuzheng; Xu, Xindong Normal form for the fractional nonlinear Schrödinger equation with cubic nonlinearity. (English) Zbl 1518.37075 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 100, 16 p. (2023). MSC: 37K55 35Q55 35R11 35B10 26A33 PDFBibTeX XMLCite \textit{F. Ma} and \textit{X. Xu}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 100, 16 p. (2023; Zbl 1518.37075) Full Text: DOI
Zhang, Min; Wang, Yi; Rui, Jie Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition. (English) Zbl 1511.37088 J. Math. Phys. 64, No. 1, Article ID 011509, 24 p. (2023). MSC: 37K55 35B15 35Q55 35L70 35B10 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Math. Phys. 64, No. 1, Article ID 011509, 24 p. (2023; Zbl 1511.37088) Full Text: DOI
Feola, Roberto; Massetti, Jessica Elisa Sub-exponential stability for the beam equation. (English) Zbl 1511.35341 J. Differ. Equations 356, 188-242 (2023). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74K10 35B65 35B35 37K55 PDFBibTeX XMLCite \textit{R. Feola} and \textit{J. E. Massetti}, J. Differ. Equations 356, 188--242 (2023; Zbl 1511.35341) Full Text: DOI arXiv
Zhang, Min; Si, Jianguo KAM tori for the two-dimensional completely resonant Schrödinger equation with the general nonlinearity. (English. French summary) Zbl 1517.37076 J. Math. Pures Appl. (9) 170, 150-230 (2023). Reviewer: Catalin Popa (Iaşi) MSC: 37K55 70H08 70K43 35Q55 37K45 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{J. Si}, J. Math. Pures Appl. (9) 170, 150--230 (2023; Zbl 1517.37076) Full Text: DOI
Chen, Qinbo Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function. (English) Zbl 1505.35037 Adv. Calc. Var. 16, No. 1, 45-68 (2023). MSC: 35B40 35F21 37K55 PDFBibTeX XMLCite \textit{Q. Chen}, Adv. Calc. Var. 16, No. 1, 45--68 (2023; Zbl 1505.35037) Full Text: DOI arXiv
Chulaevsky, Victor Anderson localization in discrete random displacements models. (English) Zbl 1515.60244 J. Stat. Phys. 190, No. 1, Paper No. 5, 16 p. (2023). MSC: 60H25 37K55 35Q40 82B44 PDFBibTeX XMLCite \textit{V. Chulaevsky}, J. Stat. Phys. 190, No. 1, Paper No. 5, 16 p. (2023; Zbl 1515.60244) Full Text: DOI
Fogato, Matteo The role of boundary conditions in the torsional instability of suspension bridges. (English) Zbl 1501.35046 J. Math. Anal. Appl. 518, No. 2, Article ID 126729, 55 p. (2023). MSC: 35B35 35L71 35R09 37K55 PDFBibTeX XMLCite \textit{M. Fogato}, J. Math. Anal. Appl. 518, No. 2, Article ID 126729, 55 p. (2023; Zbl 1501.35046) Full Text: DOI
Corsi, Livia; Gentile, Guido; Procesi, Michela Almost-periodic solutions to the NLS equation with smooth convolution potentials. arXiv:2309.14276 Preprint, arXiv:2309.14276 [math.AP] (2023). MSC: 37K55 35B15 BibTeX Cite \textit{L. Corsi} et al., ``Almost-periodic solutions to the NLS equation with smooth convolution potentials'', Preprint, arXiv:2309.14276 [math.AP] (2023) Full Text: arXiv OA License
Sun, Yingnan; Xue, Shuaishuai Quasi-Periodic solutions of Two Dimensional Completely Resonant Reversible Schrödinger d Systems. arXiv:2308.07621 Preprint, arXiv:2308.07621 [math.DS] (2023). MSC: 37K55 35B15 BibTeX Cite \textit{Y. Sun} and \textit{S. Xue}, ``Quasi-Periodic solutions of Two Dimensional Completely Resonant Reversible Schr\"odinger d Systems'', Preprint, arXiv:2308.07621 [math.DS] (2023) Full Text: arXiv OA License
Tong, Zhicheng; Li, Yong Towards sharp regularity: Full dimensional tori in \( C^\infty \) vector fields over \( \mathbb{T}^\infty \). arXiv:2306.08211 Preprint, arXiv:2306.08211 [math.DS] (2023). MSC: 37K20 37K55 BibTeX Cite \textit{Z. Tong} and \textit{Y. Li}, ``Towards sharp regularity: Full dimensional tori in $ C^\infty $ vector fields over $ \mathbb{T}^\infty $'', Preprint, arXiv:2306.08211 [math.DS] (2023) Full Text: arXiv OA License
Franzoi, Luca; Masmoudi, Nader; Montalto, Riccardo Space quasi-periodic steady Euler flows close to the inviscid Couette flow. arXiv:2303.03302 Preprint, arXiv:2303.03302 [math.AP] (2023). MSC: 35Q31 37K55 76B03 BibTeX Cite \textit{L. Franzoi} et al., ``Space quasi-periodic steady Euler flows close to the inviscid Couette flow'', Preprint, arXiv:2303.03302 [math.AP] (2023) Full Text: arXiv OA License
Lou, Zhaowei Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions. arXiv:2302.13287 Preprint, arXiv:2302.13287 [math.DS] (2023). MSC: 37K55 35L05 35Q55 BibTeX Cite \textit{Z. Lou}, ``Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions'', Preprint, arXiv:2302.13287 [math.DS] (2023) Full Text: arXiv OA License
Costa, Augusto C. R.; Maia, Bráulio B. V.; Miyagaki, Olímpio H. On existence and concentration of solutions for Hamiltonian systems involving fractional operator with critical exponential growth. (English) Zbl 1528.37061 Math. Nachr. 295, No. 8, 1480-1512 (2022). MSC: 37K58 37K55 35R11 35Q55 26A33 PDFBibTeX XMLCite \textit{A. C. R. Costa} et al., Math. Nachr. 295, No. 8, 1480--1512 (2022; Zbl 1528.37061) Full Text: DOI
Léger, Tristan; Pusateri, Fabio Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. (English) Zbl 1511.35243 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695-727 (2022). MSC: 35L71 35L15 35P25 35Q40 37K55 PDFBibTeX XMLCite \textit{T. Léger} and \textit{F. Pusateri}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695--727 (2022; Zbl 1511.35243) Full Text: DOI arXiv
Ge, Chuanfang; Geng, Jiansheng; Yi, Yingfei Quasi-periodic breathers in Newton’s cradle. (English) Zbl 1509.37106 J. Math. Phys. 63, No. 8, Article ID 082703, 21 p. (2022). MSC: 37K60 37K55 37J40 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Math. Phys. 63, No. 8, Article ID 082703, 21 p. (2022; Zbl 1509.37106) Full Text: DOI
Temple, Blake; Young, Robin Inversion of a non-uniform difference operator and a strategy for Nash-Moser. (English) Zbl 1511.35241 Methods Appl. Anal. 29, No. 3, 265-294 (2022). MSC: 35L65 35Q31 37K55 PDFBibTeX XMLCite \textit{B. Temple} and \textit{R. Young}, Methods Appl. Anal. 29, No. 3, 265--294 (2022; Zbl 1511.35241) Full Text: DOI
Shu, Xiang; Yan, Jun; Zhao, Kai Viscosity subsolutions of Hamilton-Jacobi equations and invariant sets of contact Hamilton systems. (English) Zbl 1507.70028 J. Math. Phys. 63, No. 10, Article ID 102702, 12 p. (2022). MSC: 70H20 35F21 37J55 37K55 37J51 PDFBibTeX XMLCite \textit{X. Shu} et al., J. Math. Phys. 63, No. 10, Article ID 102702, 12 p. (2022; Zbl 1507.70028) Full Text: DOI arXiv
Yu, Yifeng High degeneracy of effective Hamiltonian in two dimensions. (English) Zbl 1510.35032 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 201-223 (2022). MSC: 35B27 35F20 35F21 37J51 37K55 PDFBibTeX XMLCite \textit{Y. Yu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 201--223 (2022; Zbl 1510.35032) Full Text: DOI arXiv
Zhang, Min; Rui, Jie; Li, Yan; Zhang, Jian KAM tori for a two dimensional beam equation with a quintic nonlinear term and quasi-periodic forcing. (English) Zbl 1508.37097 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 154, 43 p. (2022). MSC: 37K55 70K43 70H08 PDFBibTeX XMLCite \textit{M. Zhang} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 154, 43 p. (2022; Zbl 1508.37097) Full Text: DOI
Lou, Zhaowei; Sun, Yingnan A KAM theorem for higher dimensional reversible nonlinear Schrödinger equations. (English) Zbl 1507.37099 Electron. J. Differ. Equ. 2022, Paper No. 69, 25 p. (2022). MSC: 37K55 35Q55 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{Y. Sun}, Electron. J. Differ. Equ. 2022, Paper No. 69, 25 p. (2022; Zbl 1507.37099) Full Text: arXiv Link
Zhang, Min; Hu, Zhe; Chen, Yonggang Invariant tori for a two-dimensional completely resonant beam equation with a quintic nonlinear term. (English) Zbl 1501.35025 J. Funct. Spaces 2022, Article ID 7106366, 15 p. (2022). MSC: 35B15 35L35 35L76 37K55 74K10 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Funct. Spaces 2022, Article ID 7106366, 15 p. (2022; Zbl 1501.35025) Full Text: DOI
Zavidovique, Maxime Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations. (English) Zbl 1500.35094 Anal. PDE 15, No. 5, 1287-1311 (2022). MSC: 35D40 35F21 37K55 49L25 PDFBibTeX XMLCite \textit{M. Zavidovique}, Anal. PDE 15, No. 5, 1287--1311 (2022; Zbl 1500.35094) Full Text: DOI arXiv
Shi, Yunfeng; Wen, Li Localization for a class of discrete long-range quasi-periodic operators. (English) Zbl 1513.81057 Lett. Math. Phys. 112, No. 5, Paper No. 86, 18 p. (2022). MSC: 81Q10 81Q50 37K55 37K60 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{L. Wen}, Lett. Math. Phys. 112, No. 5, Paper No. 86, 18 p. (2022; Zbl 1513.81057) Full Text: DOI
Liang, Zhenguo; Wang, Zhiqiang Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials. (English) Zbl 1505.37087 Nonlinearity 35, No. 9, 4850-4875 (2022). MSC: 37K55 35Q55 35P05 81Q15 PDFBibTeX XMLCite \textit{Z. Liang} and \textit{Z. Wang}, Nonlinearity 35, No. 9, 4850--4875 (2022; Zbl 1505.37087) Full Text: DOI arXiv
Sun, Yingte Quasi-periodic solutions of derivative beam equation on flat tori. (English) Zbl 1498.35024 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 121, 18 p. (2022). MSC: 35B15 35L35 35L76 37K55 PDFBibTeX XMLCite \textit{Y. Sun}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 121, 18 p. (2022; Zbl 1498.35024) Full Text: DOI
Dumas, H. Scott; Fischler, Stéphane Filling times for linear flow on the torus with truncated Diophantine conditions: a brief review and new proof. (English) Zbl 1502.37011 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 103, 15 p. (2022). MSC: 37A44 37K55 37J40 11H99 PDFBibTeX XMLCite \textit{H. S. Dumas} and \textit{S. Fischler}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 103, 15 p. (2022; Zbl 1502.37011) Full Text: DOI arXiv
Procesi, Michela; Stolovitch, Laurent About linearization of infinite-dimensional Hamiltonian systems. (English) Zbl 1505.37088 Commun. Math. Phys. 394, No. 1, 39-72 (2022). MSC: 37K55 35B20 PDFBibTeX XMLCite \textit{M. Procesi} and \textit{L. Stolovitch}, Commun. Math. Phys. 394, No. 1, 39--72 (2022; Zbl 1505.37088) Full Text: DOI arXiv
Lou, Zhaowei; Si, Jianguo; Wang, Shimin Invariant tori for the derivative nonlinear Schrödinger equation with nonlinear term depending on spatial variable. (English) Zbl 1502.37078 Discrete Contin. Dyn. Syst. 42, No. 9, 4555-4595 (2022). MSC: 37K55 37J40 70K43 35Q55 PDFBibTeX XMLCite \textit{Z. Lou} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4555--4595 (2022; Zbl 1502.37078) Full Text: DOI
Kappeler, Thomas; Montalto, Riccardo Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators. (English) Zbl 1505.37086 Discrete Contin. Dyn. Syst. 42, No. 9, 4127-4201 (2022). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 37K55 37K45 35Q51 35S05 47G30 58J40 PDFBibTeX XMLCite \textit{T. Kappeler} and \textit{R. Montalto}, Discrete Contin. Dyn. Syst. 42, No. 9, 4127--4201 (2022; Zbl 1505.37086) Full Text: DOI arXiv
Mi, Lufang; Sun, Yingte; Wang, Peizhen Long time stability of plane wave solutions to Schrödinger equation on torus. (English) Zbl 1521.37086 Appl. Anal. 101, No. 8, 2825-2859 (2022). MSC: 37K55 37K40 37K45 35B35 35Q55 35C07 PDFBibTeX XMLCite \textit{L. Mi} et al., Appl. Anal. 101, No. 8, 2825--2859 (2022; Zbl 1521.37086) Full Text: DOI
Zhang, Yuan; Si, Wen; Si, Jianguo Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems. (English) Zbl 1504.35408 Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022). MSC: 35Q35 35B10 35A01 35B35 37K55 37K50 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022; Zbl 1504.35408) Full Text: DOI
Su, Xi Feng; Zhang, Jian Lu Essential forward weak KAM solution for the convex Hamilton-Jacobi equation. (English) Zbl 1491.35053 Acta Math. Sin., Engl. Ser. 38, No. 5, 797-806 (2022). MSC: 35B40 35D40 35F21 37K55 49L25 PDFBibTeX XMLCite \textit{X. F. Su} and \textit{J. L. Zhang}, Acta Math. Sin., Engl. Ser. 38, No. 5, 797--806 (2022; Zbl 1491.35053) Full Text: DOI arXiv
Shi, Yanling Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems. (English) Zbl 1497.37091 Appl. Anal. 101, No. 6, 2019-2043 (2022). MSC: 37K55 35R11 35Q55 26A33 PDFBibTeX XMLCite \textit{Y. Shi}, Appl. Anal. 101, No. 6, 2019--2043 (2022; Zbl 1497.37091) Full Text: DOI
Corsi, Livia; Genovese, Giuseppe Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing. (English) Zbl 1497.82012 Ann. Henri Poincaré 23, No. 5, 1555-1581 (2022). Reviewer: A. C. D. van Enter (Groningen) MSC: 82C10 82C20 37K10 37K55 45D05 35B10 35B40 35B34 35Q41 35Q55 35Q82 PDFBibTeX XMLCite \textit{L. Corsi} and \textit{G. Genovese}, Ann. Henri Poincaré 23, No. 5, 1555--1581 (2022; Zbl 1497.82012) Full Text: DOI arXiv
Mi, Lufang; Li, Jing Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential. (English) Zbl 1526.37083 J. Differ. Equations 326, 313-343 (2022). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 37K55 35Q55 35B10 35B15 PDFBibTeX XMLCite \textit{L. Mi} and \textit{J. Li}, J. Differ. Equations 326, 313--343 (2022; Zbl 1526.37083) Full Text: DOI
Cong, Hongzi; Mi, Lufang; Wu, Xiaoqing; Zhang, Qidi Exponential stability estimate for the derivative nonlinear Schrödinger equation. (English) Zbl 1504.37081 Nonlinearity 35, No. 5, 2385-2423 (2022). MSC: 37K45 37K55 35B35 35Q55 PDFBibTeX XMLCite \textit{H. Cong} et al., Nonlinearity 35, No. 5, 2385--2423 (2022; Zbl 1504.37081) Full Text: DOI
Bernier, Joackim; Grébert, Benoît Birkhoff normal forms for Hamiltonian PDEs in their energy space. (Formes normales de Birkhoff pour les EDP Hamiltoniennes dans l’espace d’énergie.) (English. French summary) Zbl 1490.35392 J. Éc. Polytech., Math. 9, 681-745 (2022). MSC: 35Q55 81Q05 37K55 35P20 35B65 PDFBibTeX XMLCite \textit{J. Bernier} and \textit{B. Grébert}, J. Éc. Polytech., Math. 9, 681--745 (2022; Zbl 1490.35392) Full Text: DOI arXiv
Liu, Shujuan Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation. (English) Zbl 1486.35020 Indian J. Pure Appl. Math. 53, No. 1, 10-31 (2022). MSC: 35B15 35Q55 37K55 PDFBibTeX XMLCite \textit{S. Liu}, Indian J. Pure Appl. Math. 53, No. 1, 10--31 (2022; Zbl 1486.35020) Full Text: DOI
Huang, Peng Persistence of invariant tori in infinite-dimensional Hamiltonian systems. (English) Zbl 1496.37076 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 50, 21 p. (2022). MSC: 37K55 70H08 PDFBibTeX XMLCite \textit{P. Huang}, Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 50, 21 p. (2022; Zbl 1496.37076) Full Text: DOI
Geng, Jiansheng; Ren, Xiufang; Yi, Yingfei Reducibility of quasi-periodic linear KdV equation. (English) Zbl 1496.35342 J. Dyn. Differ. Equations 34, No. 1, 271-310 (2022). MSC: 35Q53 35B10 35B15 35D35 35A01 37K55 PDFBibTeX XMLCite \textit{J. Geng} et al., J. Dyn. Differ. Equations 34, No. 1, 271--310 (2022; Zbl 1496.35342) Full Text: DOI
Geng, Jiansheng; Xue, Shuaishuai Reducible KAM tori for two-dimensional nonlinear Schrödinger equations with explicit dependence on the spatial variable. (English) Zbl 1490.35416 J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022). MSC: 35Q55 35Q41 37K55 35B65 PDFBibTeX XMLCite \textit{J. Geng} and \textit{S. Xue}, J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022; Zbl 1490.35416) Full Text: DOI
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori. (English) Zbl 1491.35366 J. Differ. Equations 318, 344-358 (2022). MSC: 35Q41 47G30 37K55 35B20 PDFBibTeX XMLCite \textit{D. Bambusi} et al., J. Differ. Equations 318, 344--358 (2022; Zbl 1491.35366) Full Text: DOI
Danesi, Veronica; Sansottera, Marco; Paleari, Simone; Penati, Tiziano Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms. (English) Zbl 1491.37063 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022). MSC: 37K60 37K55 35Q55 PDFBibTeX XMLCite \textit{V. Danesi} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022; Zbl 1491.37063) Full Text: DOI arXiv
Liu, Jian Jun Birkhoff normal form for the derivative nonlinear Schrödinger equation. (English) Zbl 1490.37092 Acta Math. Sin., Engl. Ser. 38, No. 1, 249-262 (2022). MSC: 37K55 37K45 35Q55 PDFBibTeX XMLCite \textit{J. J. Liu}, Acta Math. Sin., Engl. Ser. 38, No. 1, 249--262 (2022; Zbl 1490.37092) Full Text: DOI arXiv
Chen, Yin; Geng, Jiansheng Linearly stable KAM tori for higher dimensional Kirchhoff equations. (English) Zbl 1508.35180 J. Differ. Equations 315, 222-253 (2022). MSC: 35Q74 37K55 35B35 35A01 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Geng}, J. Differ. Equations 315, 222--253 (2022; Zbl 1508.35180) Full Text: DOI
Chen, Qiaoling; Cong, Hongzi; Meng, Lulu; Wu, Xiaoqing Long time stability result for 1-dimensional nonlinear Schrödinger equation. (English) Zbl 1490.37091 J. Differ. Equations 315, 90-121 (2022). MSC: 37K45 37K55 35B35 35Q55 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Differ. Equations 315, 90--121 (2022; Zbl 1490.37091) Full Text: DOI
Wang, Kaizhi; Yan, Jun; Zhao, Kai Finite-time convergence of solutions of Hamilton-Jacobi equations. (English) Zbl 1487.37080 Proc. Am. Math. Soc. 150, No. 3, 1187-1196 (2022). MSC: 37J51 37J40 37K55 35F21 35D40 PDFBibTeX XMLCite \textit{K. Wang} et al., Proc. Am. Math. Soc. 150, No. 3, 1187--1196 (2022; Zbl 1487.37080) Full Text: DOI arXiv
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. (English) Zbl 1521.37085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112687, 32 p. (2022). MSC: 37K55 35Q51 PDFBibTeX XMLCite \textit{P. Gérard} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112687, 32 p. (2022; Zbl 1521.37085) Full Text: DOI arXiv
Shi, Guanghua; Yan, Dongfeng Quasi-periodic solutions for the generalized Benjamin-Bona-Mahony equation. (English) Zbl 1497.35423 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106091, 19 p. (2022). MSC: 35Q53 35B10 37K55 PDFBibTeX XMLCite \textit{G. Shi} and \textit{D. Yan}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106091, 19 p. (2022; Zbl 1497.35423) Full Text: DOI arXiv
Franzoi, Luca; Montalto, Riccardo A KAM approach to the inviscid limit for the 2D Navier-Stokes equations. arXiv:2207.11008 Preprint, arXiv:2207.11008 [math.AP] (2022). MSC: 35Q30 35Q31 37K55 76M45 BibTeX Cite \textit{L. Franzoi} and \textit{R. Montalto}, ``A KAM approach to the inviscid limit for the 2D Navier-Stokes equations'', Preprint, arXiv:2207.11008 [math.AP] (2022) Full Text: arXiv OA License
Penati, Tiziano; Danesi, Veronica; Paleari, Simone Low dimensional completely resonant tori in Hamiltonian lattices and a theorem of Poincaré. (English) Zbl 1503.37072 Math. Eng. (Springfield) 3, No. 4, Paper No. 29, 20 p. (2021). MSC: 37J40 37K55 37K60 70H08 70K43 70K60 70K65 PDFBibTeX XMLCite \textit{T. Penati} et al., Math. Eng. (Springfield) 3, No. 4, Paper No. 29, 20 p. (2021; Zbl 1503.37072) Full Text: DOI
Zhang, Min; Wang, Yi; Li, Yan Reducibility and quasi-periodic solutions for a two dimensional beam equation with quasi-periodic in time potential. (English) Zbl 1484.37082 AIMS Math. 6, No. 1, 643-674 (2021). MSC: 37K55 35Q74 70K40 74K10 PDFBibTeX XMLCite \textit{M. Zhang} et al., AIMS Math. 6, No. 1, 643--674 (2021; Zbl 1484.37082) Full Text: DOI
Geng, Jiansheng; Xue, Shuaishuai Reducible KAM tori for two-dimensional quintic Schrödinger equations. (Chinese. English summary) Zbl 1499.37116 Sci. Sin., Math. 51, No. 3, 457-498 (2021). MSC: 37K55 35Q55 35B15 PDFBibTeX XMLCite \textit{J. Geng} and \textit{S. Xue}, Sci. Sin., Math. 51, No. 3, 457--498 (2021; Zbl 1499.37116) Full Text: DOI
Xu, Xindong; You, Jiangong; Zhou, Qi Quasiperiodic solutions of NLS with Liouvillean frequencies. (English) Zbl 1493.37086 Anal. PDE 14, No. 8, 2327-2362 (2021). MSC: 37K55 35Q55 PDFBibTeX XMLCite \textit{X. Xu} et al., Anal. PDE 14, No. 8, 2327--2362 (2021; Zbl 1493.37086) Full Text: DOI arXiv
Bambusi, Dario Hamiltonian studies on counter-propagating water waves. (English) Zbl 1502.35102 Water Waves 3, No. 1, 49-83 (2021). MSC: 35Q35 76B15 35B20 37K55 37L10 35R35 PDFBibTeX XMLCite \textit{D. Bambusi}, Water Waves 3, No. 1, 49--83 (2021; Zbl 1502.35102) Full Text: DOI arXiv
Chang, Ningning; Geng, Jiansheng; Lou, Zhaowei Bounded non-response solutions with Liouvillean forced frequencies for nonlinear wave equations. (English) Zbl 1500.35014 J. Dyn. Differ. Equations 33, No. 4, 2009-2046 (2021). MSC: 35B10 35L20 35L71 37K55 PDFBibTeX XMLCite \textit{N. Chang} et al., J. Dyn. Differ. Equations 33, No. 4, 2009--2046 (2021; Zbl 1500.35014) Full Text: DOI
Zanelli, L.; Mandreoli, F.; Cardin, F. A weak KAM approach to the periodic stationary Hartree equation. (English) Zbl 1476.35094 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021). MSC: 35F21 37K55 81V70 PDFBibTeX XMLCite \textit{L. Zanelli} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021; Zbl 1476.35094) Full Text: DOI
Baldi, Pietro; Montalto, Riccardo Quasi-periodic incompressible Euler flows in 3D. (English) Zbl 1483.37091 Adv. Math. 384, Article ID 107730, 74 p. (2021). MSC: 37K55 35Q31 35Q35 76B03 76D03 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{R. Montalto}, Adv. Math. 384, Article ID 107730, 74 p. (2021; Zbl 1483.37091) Full Text: DOI arXiv
Bounemoura, Abed Bounemoura; Féjoz, Jacques Hamiltonian perturbation theory for ultra-differentiable functions. (English) Zbl 1487.37001 Memoirs of the American Mathematical Society 1319. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4691-8/pbk; 978-1-4704-6526-1/ebook). v, 89 p. (2021). MSC: 37-02 37K55 37J40 PDFBibTeX XMLCite \textit{A. B. Bounemoura} and \textit{J. Féjoz}, Hamiltonian perturbation theory for ultra-differentiable functions. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1487.37001) Full Text: DOI arXiv
Pozza, Marco; Siconolfi, Antonio Discounted Hamilton-Jacobi equations on networks and asymptotic analysis. (English) Zbl 1481.35125 Indiana Univ. Math. J. 70, No. 3, 1103-1129 (2021). MSC: 35F21 35R02 35B51 49L25 37K55 PDFBibTeX XMLCite \textit{M. Pozza} and \textit{A. Siconolfi}, Indiana Univ. Math. J. 70, No. 3, 1103--1129 (2021; Zbl 1481.35125) Full Text: DOI arXiv
Cheng, Chong-Qing; Zhou, Min Residues of destructed resonance torus. (English) Zbl 1477.37066 J. Dyn. Differ. Equations 33, No. 3, 1515-1530 (2021). MSC: 37J40 37K55 70K43 70H08 PDFBibTeX XMLCite \textit{C.-Q. Cheng} and \textit{M. Zhou}, J. Dyn. Differ. Equations 33, No. 3, 1515--1530 (2021; Zbl 1477.37066) Full Text: DOI
Wu, Yuan; Yuan, Xiaoping A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig). (English) Zbl 1477.37083 J. Dyn. Differ. Equations 33, No. 3, 1427-1474 (2021). MSC: 37K55 37J40 70K43 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{X. Yuan}, J. Dyn. Differ. Equations 33, No. 3, 1427--1474 (2021; Zbl 1477.37083) Full Text: DOI
Bernier, Joackim; Feola, Roberto; Grébert, Benoît; Iandoli, Felice Long-time existence for semi-linear beam equations on irrational tori. (English) Zbl 1482.35201 J. Dyn. Differ. Equations 33, No. 3, 1363-1398 (2021). Reviewer: Long Wei (Hangzhou) MSC: 35Q53 37K55 35A01 PDFBibTeX XMLCite \textit{J. Bernier} et al., J. Dyn. Differ. Equations 33, No. 3, 1363--1398 (2021; Zbl 1482.35201) Full Text: DOI arXiv
Corsi, Livia; Montalto, Riccardo; Procesi, Michela Almost-periodic response solutions for a forced quasi-linear Airy equation. (English) Zbl 1483.37092 J. Dyn. Differ. Equations 33, No. 3, 1231-1267 (2021). Reviewer: Chao Wang (Kunming) MSC: 37K55 58C15 35Q53 35B15 35J62 PDFBibTeX XMLCite \textit{L. Corsi} et al., J. Dyn. Differ. Equations 33, No. 3, 1231--1267 (2021; Zbl 1483.37092) Full Text: DOI arXiv
Baldi, Pietro; Haus, Emanuele On the normal form of the Kirchhoff equation. (English) Zbl 1471.35208 J. Dyn. Differ. Equations 33, No. 3, 1203-1230 (2021). MSC: 35L72 35B10 35K20 35Q74 37J40 37K55 70K45 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{E. Haus}, J. Dyn. Differ. Equations 33, No. 3, 1203--1230 (2021; Zbl 1471.35208) Full Text: DOI arXiv
Bernier, Joackim; Grébert, Benoît Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations. (English) Zbl 1476.37083 Arch. Ration. Mech. Anal. 241, No. 3, 1139-1241 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K55 35Q35 35Q53 35B40 35C20 PDFBibTeX XMLCite \textit{J. Bernier} and \textit{B. Grébert}, Arch. Ration. Mech. Anal. 241, No. 3, 1139--1241 (2021; Zbl 1476.37083) Full Text: DOI arXiv
Wang, Wei-Min Quasi-periodic solutions to nonlinear PDEs. (English) Zbl 1469.35014 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 463-470 (2021). MSC: 35B15 35L71 35Q55 37K55 42A16 PDFBibTeX XMLCite \textit{W.-M. Wang}, Adv. Stud. Pure Math. 85, 463--470 (2021; Zbl 1469.35014) Full Text: DOI
Feola, Roberto; Iandoli, Felice Long time existence for fully nonlinear NLS with small Cauchy data on the circle. (English) Zbl 1475.37081 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109-182 (2021). MSC: 37K55 35S50 35Q55 PDFBibTeX XMLCite \textit{R. Feola} and \textit{F. Iandoli}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109--182 (2021; Zbl 1475.37081) Full Text: DOI arXiv
Yuan, Xiaoping KAM theorem with normal frequencies of finite limit-points for some shallow water equations. (English) Zbl 1475.37082 Commun. Pure Appl. Math. 74, No. 6, 1193-1281 (2021). MSC: 37K55 35Q35 PDFBibTeX XMLCite \textit{X. Yuan}, Commun. Pure Appl. Math. 74, No. 6, 1193--1281 (2021; Zbl 1475.37082) Full Text: DOI arXiv
Gallone, M.; Pasquali, S. Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction. (English) Zbl 1473.37092 Nonlinearity 34, No. 7, 4983-5044 (2021). MSC: 37K55 37K60 70H08 70K45 PDFBibTeX XMLCite \textit{M. Gallone} and \textit{S. Pasquali}, Nonlinearity 34, No. 7, 4983--5044 (2021; Zbl 1473.37092) Full Text: DOI arXiv
Giuliani, Filippo; Guardia, Marcel; Martin, Pau; Pasquali, Stefano Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs. (English) Zbl 1473.37093 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 1, 149-166 (2021). MSC: 37K55 37D05 35B34 PDFBibTeX XMLCite \textit{F. Giuliani} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 1, 149--166 (2021; Zbl 1473.37093) Full Text: DOI arXiv
Shi, Yanling; Xu, Junxiang Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency. (English) Zbl 1486.35373 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3479-3490 (2021). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 35Q55 37K55 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{J. Xu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3479--3490 (2021; Zbl 1486.35373) Full Text: DOI