Jaquette, Jonathan Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations. (English) Zbl 07818452 J. Dyn. Differ. Equations 36, No. 1, 1-25 (2024). MSC: 35B10 35B44 35Q55 37K10 PDFBibTeX XMLCite \textit{J. Jaquette}, J. Dyn. Differ. Equations 36, No. 1, 1--25 (2024; Zbl 07818452) Full Text: DOI arXiv
Chen, Xi Existence of modified wave operators and infinite cascade result for a half wave Schrödinger equation on the plane. (English) Zbl 07794596 J. Funct. Anal. 286, No. 2, Article ID 110222, 74 p. (2024). MSC: 35Q55 35Q41 35B05 35B34 35B40 35A01 45K05 35R09 PDFBibTeX XMLCite \textit{X. Chen}, J. Funct. Anal. 286, No. 2, Article ID 110222, 74 p. (2024; Zbl 07794596) Full Text: DOI arXiv
Camps, Nicolas; Gassot, Louise; Ibrahim, Slim Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation. (English) Zbl 07791844 J. Differ. Equations 380, 443-490 (2024). MSC: 35Q55 35Q41 35A01 35A02 60B15 35R25 35R60 PDFBibTeX XMLCite \textit{N. Camps} et al., J. Differ. Equations 380, 443--490 (2024; Zbl 07791844) Full Text: DOI arXiv
Faou, Erwan; Raphaël, Pierre On weakly turbulent solutions to the perturbed linear harmonic oscillator. (English) Zbl 1527.35327 Am. J. Math. 145, No. 5, 1465-1507 (2023). MSC: 35Q41 35Q40 81Q15 35B40 35B65 35B05 PDFBibTeX XMLCite \textit{E. Faou} and \textit{P. Raphaël}, Am. J. Math. 145, No. 5, 1465--1507 (2023; Zbl 1527.35327) Full Text: DOI arXiv
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation. (English) Zbl 1515.35230 Lett. Math. Phys. 113, No. 3, Paper No. 61, 42 p. (2023). MSC: 35Q51 37K10 35Q70 35Q35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Lett. Math. Phys. 113, No. 3, Paper No. 61, 42 p. (2023; Zbl 1515.35230) Full Text: DOI arXiv
Deng, Yu; Hani, Zaher Full derivation of the wave kinetic equation. (English) Zbl 07704057 Invent. Math. 233, No. 2, 543-724 (2023). MSC: 35Q55 35Q41 35Q20 82C40 81V55 35B65 76F02 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{Z. Hani}, Invent. Math. 233, No. 2, 543--724 (2023; Zbl 07704057) Full Text: DOI arXiv
Gérard, Patrick; Pushnitski, Alexander Unbounded Hankel operators and the flow of the cubic Szegő equation. (English) Zbl 1525.47058 Invent. Math. 232, No. 3, 995-1026 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 37K20 47A15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{A. Pushnitski}, Invent. Math. 232, No. 3, 995--1026 (2023; Zbl 1525.47058) Full Text: DOI arXiv
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation. (English) Zbl 1518.35574 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1497-1551 (2023). Reviewer: Fanfei Meng (Beijing) MSC: 35Q55 37K45 70K43 35Q41 37J40 37K10 PDFBibTeX XMLCite \textit{M. Guardia} et al., J. Eur. Math. Soc. (JEMS) 25, No. 4, 1497--1551 (2023; Zbl 1518.35574) Full Text: DOI arXiv
Burq, Nicolas; Sun, Chenmin Time optimal observability for Grushin Schrödinger equation. (English) Zbl 1501.35337 Anal. PDE 15, No. 6, 1487-1530 (2022). MSC: 35Q41 35Q93 93B07 93B05 93C20 PDFBibTeX XMLCite \textit{N. Burq} and \textit{C. Sun}, Anal. PDE 15, No. 6, 1487--1530 (2022; Zbl 1501.35337) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine; He, Zihui Turbulent cascades for a family of damped Szegő equations. (English) Zbl 1498.35023 Nonlinearity 35, No. 9, 4820-4849 (2022). MSC: 35B15 47B35 37K10 37K15 PDFBibTeX XMLCite \textit{P. Gérard} et al., Nonlinearity 35, No. 9, 4820--4849 (2022; Zbl 1498.35023) Full Text: DOI arXiv
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. (English) Zbl 1496.35308 Nonlinearity 35, No. 8, 4549-4584 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4549--4584 (2022; Zbl 1496.35308) Full Text: DOI arXiv
Gassot, Louise; Latocca, Mickaël Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian. (English) Zbl 1489.35251 J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022). MSC: 35Q55 35L05 35L15 35L71 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{L. Gassot} and \textit{M. Latocca}, J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022; Zbl 1489.35251) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a fractional Schrödinger type equation with mixed anisotropic dispersion. (English) Zbl 1487.35098 J. Dyn. Differ. Equations 34, No. 2, 1237-1268 (2022). MSC: 35B41 35Q55 35R11 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, J. Dyn. Differ. Equations 34, No. 2, 1237--1268 (2022; Zbl 1487.35098) Full Text: DOI
Giuliani, Filippo; Guardia, Marcel Sobolev norms explosion for the cubic NLS on irrational tori. (English) Zbl 1490.35417 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112865, 25 p. (2022). MSC: 35Q55 35B34 PDFBibTeX XMLCite \textit{F. Giuliani} and \textit{M. Guardia}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112865, 25 p. (2022; Zbl 1490.35417) Full Text: DOI arXiv
Gérard, Patrick; Pushnitski, Alexander Schmidt subspaces of Hankel operators. (English) Zbl 07620793 Abakumov, Evgeny (ed.) et al., Extended abstracts fall 2019. Spaces of analytic functions: approximation, interpolation, sampling, SAFAIS 2019 program, Centre de Recerca Matemàtica, Barcelona, Spain, October–December 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 12, 175-195 (2021). MSC: 47Bxx PDFBibTeX XMLCite \textit{P. Gérard} and \textit{A. Pushnitski}, Trends Math., Res. Perspect. CRM Barc. 12, 175--195 (2021; Zbl 07620793) Full Text: DOI
Alouini, Brahim Global attractor for a one dimensional weakly damped half-wave equation. (English) Zbl 1479.35124 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2655-2670 (2021). MSC: 35B41 35Q55 35R11 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2655--2670 (2021; Zbl 1479.35124) Full Text: DOI
Alouini, Brahim Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations. (English) Zbl 1480.35026 Analysis, München 41, No. 4, 199-211 (2021). MSC: 35B40 35Q41 35Q55 35R11 35G55 76B03 PDFBibTeX XMLCite \textit{B. Alouini}, Analysis, München 41, No. 4, 199--211 (2021; Zbl 1480.35026) Full Text: DOI
Giuliani, Filippo Transfers of energy through fast diffusion channels in some resonant PDEs on the circle. (English) Zbl 1481.37089 Discrete Contin. Dyn. Syst. 41, No. 11, 5057-5085 (2021). Reviewer: Xiangdong Yang (Kunming) MSC: 37K45 35B34 35B35 PDFBibTeX XMLCite \textit{F. Giuliani}, Discrete Contin. Dyn. Syst. 41, No. 11, 5057--5085 (2021; Zbl 1481.37089) 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
Giuliani, Filippo; Guardia, Marcel; Martin, Pau; Pasquali, Stefano Chaotic-like transfers of energy in Hamiltonian PDEs. (English) Zbl 1472.37079 Commun. Math. Phys. 384, No. 2, 1227-1290 (2021). Reviewer: Nikolaos Halidias (Athína) MSC: 37K55 35R60 PDFBibTeX XMLCite \textit{F. Giuliani} et al., Commun. Math. Phys. 384, No. 2, 1227--1290 (2021; Zbl 1472.37079) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential. (English) Zbl 1460.35044 Commun. Pure Appl. Anal. 19, No. 9, 4545-4573 (2020). MSC: 35B41 35Q55 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, Commun. Pure Appl. Anal. 19, No. 9, 4545--4573 (2020; Zbl 1460.35044) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine [Klein, Christian] On a damped Szegö equation (with an appendix in collaboration with Christian Klein). (English) Zbl 1448.35022 SIAM J. Math. Anal. 52, No. 5, 4391-4420 (2020). MSC: 35B15 35Q55 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, SIAM J. Math. Anal. 52, No. 5, 4391--4420 (2020; Zbl 1448.35022) Full Text: DOI arXiv
Sun, Ruoci Filtering the \(L^2\)-critical focusing Schrödinger equation. (English) Zbl 1447.35301 Discrete Contin. Dyn. Syst. 40, No. 10, 5973-5990 (2020). MSC: 35Q55 35B35 35P25 35C07 30H10 35A01 35A02 PDFBibTeX XMLCite \textit{R. Sun}, Discrete Contin. Dyn. Syst. 40, No. 10, 5973--5990 (2020; Zbl 1447.35301) Full Text: DOI
Dartois, Stéphane; Evnin, Oleg; Lionni, Luca; Rivasseau, Vincent; Valette, Guillaume Melonic turbulence. (English) Zbl 1436.81095 Commun. Math. Phys. 374, No. 2, 1179-1228 (2020). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 81T18 81T20 35Q55 35B34 81T32 81V73 78A37 82B26 34L40 46E36 PDFBibTeX XMLCite \textit{S. Dartois} et al., Commun. Math. Phys. 374, No. 2, 1179--1228 (2020; Zbl 1436.81095) Full Text: DOI arXiv
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry Stationary states of the cubic conformal flow on \(\mathbb{S}^3\). (English) Zbl 1441.37082 Discrete Contin. Dyn. Syst. 40, No. 1, 1-32 (2020). Reviewer: Chengbo Wang (Hangzhou) MSC: 37K50 35L70 35Q75 35B32 37G05 37K45 PDFBibTeX XMLCite \textit{P. Bizoń} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 1--32 (2020; Zbl 1441.37082) Full Text: DOI arXiv
Biasi, Anxo; Bizoń, Piotr; Evnin, Oleg Complex plane representations and stationary states in cubic and quintic resonant systems. (English) Zbl 1509.35256 J. Phys. A, Math. Theor. 52, No. 43, Article ID 435201, 22 p. (2019). MSC: 35Q40 35J10 81V73 81T35 PDFBibTeX XMLCite \textit{A. Biasi} et al., J. Phys. A, Math. Theor. 52, No. 43, Article ID 435201, 22 p. (2019; Zbl 1509.35256) Full Text: DOI arXiv
Gérard, Patrick Wave turbulence and complete integrability. (English) Zbl 1442.35419 Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 39-93 (2019). MSC: 35Q55 35Q53 37K10 37K15 47B35 PDFBibTeX XMLCite \textit{P. Gérard}, Fields Inst. Commun. 83, 39--93 (2019; Zbl 1442.35419) Full Text: DOI
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. (English) Zbl 1427.35254 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865-880 (2019). MSC: 35Q55 37K55 37K60 PDFBibTeX XMLCite \textit{M. Guardia} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865--880 (2019; Zbl 1427.35254) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine A survey of the Szegő equation. (English) Zbl 1428.35067 Sci. China, Math. 62, No. 6, 1087-1100 (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35B65 35B15 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sci. China, Math. 62, No. 6, 1087--1100 (2019; Zbl 1428.35067) Full Text: DOI
Thirouin, Joseph Classification of traveling waves for a quadratic Szegö equation. (English) Zbl 1435.37098 Discrete Contin. Dyn. Syst. 39, No. 6, 3099-3122 (2019). MSC: 37K40 37K10 35C07 37K45 PDFBibTeX XMLCite \textit{J. Thirouin}, Discrete Contin. Dyn. Syst. 39, No. 6, 3099--3122 (2019; Zbl 1435.37098) Full Text: DOI arXiv
Biasi, Anxo; Bizoń, Piotr; Evnin, Oleg Solvable cubic resonant systems. (English) Zbl 1429.83009 Commun. Math. Phys. 369, No. 2, 433-456 (2019). Reviewer: Alex B. Gaina (Chisinau) MSC: 83C15 83C10 35L65 35B34 35G20 35L05 83C40 83C47 PDFBibTeX XMLCite \textit{A. Biasi} et al., Commun. Math. Phys. 369, No. 2, 433--456 (2019; Zbl 1429.83009) Full Text: DOI arXiv
Thirouin, Joseph About the quadratic Szegö hierarchy. (English) Zbl 1501.37070 SIAM J. Math. Anal. 51, No. 2, 1454-1495 (2019). MSC: 37K10 35B40 76F20 76F70 PDFBibTeX XMLCite \textit{J. Thirouin}, SIAM J. Math. Anal. 51, No. 2, 1454--1495 (2019; Zbl 1501.37070) Full Text: DOI arXiv
Gérard, Patrick; Pushnitski, Alexander Inverse spectral theory for a class of non-compact Hankel operators. (English) Zbl 07036937 Mathematika 65, No. 1, 132-156 (2019). MSC: 47B35 30H10 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{A. Pushnitski}, Mathematika 65, No. 1, 132--156 (2019; Zbl 07036937) Full Text: DOI arXiv
Gérard, Patrick; Germain, Pierre; Thomann, Laurent On the cubic lowest Landau level equation. (English) Zbl 1412.82034 Arch. Ration. Mech. Anal. 231, No. 2, 1073-1128 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82C31 35Q84 82D55 35Q55 81Q05 82B10 PDFBibTeX XMLCite \textit{P. Gérard} et al., Arch. Ration. Mech. Anal. 231, No. 2, 1073--1128 (2019; Zbl 1412.82034) Full Text: DOI arXiv
Thirouin, Joseph Optimal bounds for the growth of Sobolev norms of solutions of a quadratic Szegő equation. (English) Zbl 1409.37071 Trans. Am. Math. Soc. 371, No. 5, 3673-3690 (2019). MSC: 37K15 37K10 PDFBibTeX XMLCite \textit{J. Thirouin}, Trans. Am. Math. Soc. 371, No. 5, 3673--3690 (2019; Zbl 1409.37071) Full Text: DOI arXiv
He, Jiao; Mammeri, Youcef Remark on the well-posedness of weakly dispersive equations. (English) Zbl 1406.35095 ESAIM, Proc. Surv. 64, 111-120 (2018). MSC: 35F25 35R11 35A01 35A02 35D40 PDFBibTeX XMLCite \textit{J. He} and \textit{Y. Mammeri}, ESAIM, Proc. Surv. 64, 111--120 (2018; Zbl 1406.35095) Full Text: DOI
Bizoń, Piotr; Evnin, Oleg; Ficek, Filip A nonrelativistic limit for AdS perturbations. (English) Zbl 1405.81119 J. High Energy Phys. 2018, No. 12, Paper No. 113, 19 p. (2018). MSC: 81T40 83D05 81R12 81Q05 PDFBibTeX XMLCite \textit{P. Bizoń} et al., J. High Energy Phys. 2018, No. 12, Paper No. 113, 19 p. (2018; Zbl 1405.81119) Full Text: DOI arXiv
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay Remarks on the Gibbs measures for nonlinear dispersive equations. (English. French summary) Zbl 1405.35193 Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 527-597 (2018). MSC: 35Q55 37K05 37L50 35D30 35R06 35Q53 PDFBibTeX XMLCite \textit{N. Burq} et al., Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 527--597 (2018; Zbl 1405.35193) Full Text: DOI arXiv
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. (English) Zbl 1397.35062 Ann. PDE 4, No. 1, Paper No. 7, 166 p. (2018). MSC: 35C08 35B40 35L05 35Q41 35Q51 37K40 PDFBibTeX XMLCite \textit{P. Gérard} et al., Ann. PDE 4, No. 1, Paper No. 7, 166 p. (2018; Zbl 1397.35062) Full Text: DOI arXiv
Naumkin, Ivan; Raphaël, Pierre On small traveling waves to the mass critical fractional NLS. (English) Zbl 1410.35210 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 93, 1-36 (2018). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35B40 35R11 35C07 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{P. Raphaël}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 93, 1--36 (2018; Zbl 1410.35210) Full Text: DOI arXiv HAL
Gérard, Patrick; Koch, Herbert The cubic Szegő flow at low regularity. (English) Zbl 1475.35434 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 14, 14 p. (2017). MSC: 35S05 37K15 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{H. Koch}, Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 14, 14 p. (2017; Zbl 1475.35434) Full Text: DOI
Craps, Ben; Evnin, Oleg; Luyten, Vincent Maximally rotating waves in AdS and on spheres. (English) Zbl 1382.83083 J. High Energy Phys. 2017, No. 9, Paper No. 59, 18 p. (2017). MSC: 83D05 81T40 81R12 35L05 PDFBibTeX XMLCite \textit{B. Craps} et al., J. High Energy Phys. 2017, No. 9, Paper No. 59, 18 p. (2017; Zbl 1382.83083) Full Text: DOI arXiv
Bizoń, Piotr; Craps, Ben; Evnin, Oleg; Hunik, Dominika; Luyten, Vincent; Maliborski, Maciej Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\). (English) Zbl 1378.35300 Commun. Math. Phys. 353, No. 3, 1179-1199 (2017). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35Q75 35Q55 35B35 83C20 83F05 37K10 PDFBibTeX XMLCite \textit{P. Bizoń} et al., Commun. Math. Phys. 353, No. 3, 1179--1199 (2017; Zbl 1378.35300) Full Text: DOI arXiv
Xu, Haiyan Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation. (English) Zbl 1367.35159 Math. Z. 286, No. 1-2, 443-489 (2017). MSC: 35Q55 35B40 35Q41 35A01 35P25 PDFBibTeX XMLCite \textit{H. Xu}, Math. Z. 286, No. 1--2, 443--489 (2017; Zbl 1367.35159) Full Text: DOI arXiv
Thirouin, Joseph On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle. (English) Zbl 1370.37133 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 509-531 (2017). Reviewer: Devendra Singh Chouhan (Indore) MSC: 37K40 35B45 35R11 35Q55 35C07 PDFBibTeX XMLCite \textit{J. Thirouin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 509--531 (2017; Zbl 1370.37133) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine On the growth of Sobolev norms for the cubic Szegő equation. (English) Zbl 1355.35022 Sémin. Laurent Schwartz, EDP Appl. 2014-2015, Exp. No. 11, 20 p (2016). MSC: 35B40 35B15 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sémin. Laurent Schwartz, EDP Appl. 2014--2015, Exp. No. 11, 20 p (2016; Zbl 1355.35022) Full Text: DOI Link
Halabi, Ryan G.; Hunter, John K. Nonlinear quasi-static surface plasmons. (English) Zbl 1359.35188 SIAM J. Appl. Math. 76, No. 5, 1899-1919 (2016). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q60 35B40 78A60 PDFBibTeX XMLCite \textit{R. G. Halabi} and \textit{J. K. Hunter}, SIAM J. Appl. Math. 76, No. 5, 1899--1919 (2016; Zbl 1359.35188) Full Text: DOI arXiv
Guardia, M.; Haus, E.; Procesi, M. Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\). (English) Zbl 1353.35260 Adv. Math. 301, 615-692 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35B45 PDFBibTeX XMLCite \textit{M. Guardia} et al., Adv. Math. 301, 615--692 (2016; Zbl 1353.35260) Full Text: DOI arXiv
Ozawa, Tohru; Visciglia, Nicola An improvement on the Brézis-Gallouët technique for 2D NLS and 1D half-wave equation. (English) Zbl 1351.35188 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 1069-1079 (2016). MSC: 35Q55 35A01 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{N. Visciglia}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 1069--1079 (2016; Zbl 1351.35188) Full Text: DOI arXiv
Faou, Erwan; Germain, Pierre; Hani, Zaher The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation. (English) Zbl 1364.35332 J. Am. Math. Soc. 29, No. 4, 915-982 (2016). Reviewer: François Genoud (Delft) MSC: 35Q55 37K05 35B40 35B45 PDFBibTeX XMLCite \textit{E. Faou} et al., J. Am. Math. Soc. 29, No. 4, 915--982 (2016; Zbl 1364.35332) Full Text: DOI arXiv
Germain, Pierre; Hani, Zaher; Thomann, Laurent On the continuous resonant equation for NLS. I: Deterministic analysis. (English. French summary) Zbl 1344.35133 J. Math. Pures Appl. (9) 105, No. 1, 131-163 (2016). Reviewer: Marius Beceanu (Berkeley) MSC: 35Q55 35B65 37K05 35C07 PDFBibTeX XMLCite \textit{P. Germain} et al., J. Math. Pures Appl. (9) 105, No. 1, 131--163 (2016; Zbl 1344.35133) Full Text: DOI arXiv
Grudsky, Sergei; Rybkin, Alexei Soliton theory and Hankel operators. (English) Zbl 1332.35325 SIAM J. Math. Anal. 47, No. 3, 2283-2323 (2015). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 37K15 47B35 35B65 PDFBibTeX XMLCite \textit{S. Grudsky} and \textit{A. Rybkin}, SIAM J. Math. Anal. 47, No. 3, 2283--2323 (2015; Zbl 1332.35325) Full Text: DOI arXiv
Guardia, M.; Kaloshin, Vadim Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. (English) Zbl 1311.35284 J. Eur. Math. Soc. (JEMS) 17, No. 1, 71-149 (2015). MSC: 35Q55 37K55 37K60 PDFBibTeX XMLCite \textit{M. Guardia} and \textit{V. Kaloshin}, J. Eur. Math. Soc. (JEMS) 17, No. 1, 71--149 (2015; Zbl 1311.35284) Full Text: DOI arXiv
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. On the radius of analyticity of solutions to the cubic Szegő equation. (English) Zbl 1332.35058 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 97-108 (2015). MSC: 35B65 35B10 47B35 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 97--108 (2015; Zbl 1332.35058) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine An explicit formula for the cubic Szegő equation. (English) Zbl 1318.37024 Trans. Am. Math. Soc. 367, No. 4, 2979-2995 (2015). Reviewer: Vladimir V. Peller (East Lansing) MSC: 37K15 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Trans. Am. Math. Soc. 367, No. 4, 2979--2995 (2015; Zbl 1318.37024) Full Text: DOI arXiv
Casarino, Valentina; Peloso, Marco M. Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres. (English) Zbl 1309.35100 Trans. Am. Math. Soc. 367, No. 4, 2631-2664 (2015). MSC: 35Q41 43A85 35B65 33C55 35B45 PDFBibTeX XMLCite \textit{V. Casarino} and \textit{M. M. Peloso}, Trans. Am. Math. Soc. 367, No. 4, 2631--2664 (2015; Zbl 1309.35100) Full Text: DOI arXiv
Guardia, Marcel Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential. (English) Zbl 1296.35169 Commun. Math. Phys. 329, No. 1, 405-434 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 PDFBibTeX XMLCite \textit{M. Guardia}, Commun. Math. Phys. 329, No. 1, 405--434 (2014; Zbl 1296.35169) Full Text: DOI arXiv Link
Hani, Zaher Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations. (English) Zbl 1293.35298 Arch. Ration. Mech. Anal. 211, No. 3, 929-964 (2014). MSC: 35Q55 35B35 35Q41 PDFBibTeX XMLCite \textit{Z. Hani}, Arch. Ration. Mech. Anal. 211, No. 3, 929--964 (2014; Zbl 1293.35298) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine Inverse spectral problems for compact Hankel operators. (English) Zbl 1304.47038 J. Inst. Math. Jussieu 13, No. 2, 273-301 (2014). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, J. Inst. Math. Jussieu 13, No. 2, 273--301 (2014; Zbl 1304.47038) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine Inverse spectral problems and the cubic Szegö equation. (Problème spectral inverse et équation de Szegö cubique.) (English) Zbl 1342.47040 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XV, 11 p. (2013). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sémin. Laurent Schwartz, EDP Appl. 2011--2012, Exp. No. XV, 11 p. (2013; Zbl 1342.47040) Full Text: DOI
Boscain, Ugo; Laurent, Camille The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) (English. French summary) Zbl 1314.58017 Ann. Inst. Fourier 63, No. 5, 1739-1770 (2013). Reviewer: Svatopluk Krýsl (Praha) MSC: 58J50 53C17 35P05 58C40 PDFBibTeX XMLCite \textit{U. Boscain} and \textit{C. Laurent}, Ann. Inst. Fourier 63, No. 5, 1739--1770 (2013; Zbl 1314.58017) Full Text: DOI arXiv
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation. (English) Zbl 1288.35433 Arch. Ration. Mech. Anal. 209, No. 1, 61-129 (2013). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35C07 35B44 35R11 PDFBibTeX XMLCite \textit{J. Krieger} et al., Arch. Ration. Mech. Anal. 209, No. 1, 61--129 (2013; Zbl 1288.35433) Full Text: DOI arXiv
Pocovnicu, Oana First and second order approximations for a nonlinear wave equation. (English) Zbl 1270.65060 J. Dyn. Differ. Equations 25, No. 2, 305-333 (2013). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M99 35Q35 35L70 PDFBibTeX XMLCite \textit{O. Pocovnicu}, J. Dyn. Differ. Equations 25, No. 2, 305--333 (2013; Zbl 1270.65060) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine Invariant tori for the cubic Szegö equation. (English) Zbl 1252.35026 Invent. Math. 187, No. 3, 707-754 (2012). Reviewer: Jiansheng Geng (Nanjing) MSC: 35B15 37K15 47B35 35B35 35C07 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Invent. Math. 187, No. 3, 707--754 (2012; Zbl 1252.35026) Full Text: DOI arXiv