Ivanovici, Oana Dispersive estimates for the Schrödinger equation in a model convex domain and applications. (English) Zbl 1523.58028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 959-1008 (2023). MSC: 58J35 35J25 PDFBibTeX XMLCite \textit{O. Ivanovici}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 959--1008 (2023; Zbl 1523.58028) Full Text: DOI arXiv
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola Modified energies for the periodic generalized KdV equation and applications. (English) Zbl 1527.35360 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863-917 (2023). MSC: 35Q53 35B65 35B45 35A01 35A02 37K10 35R60 PDFBibTeX XMLCite \textit{F. Planchon} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863--917 (2023; Zbl 1527.35360) Full Text: DOI arXiv
Camps, Nicolas Asymptotic stability of small ground states for NLS under random perturbations. (English) Zbl 1519.35283 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261-1318 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q41 35Q51 35B40 42B10 42B37 35A01 35A02 35B35 35P30 35R60 PDFBibTeX XMLCite \textit{N. Camps}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261--1318 (2022; Zbl 1519.35283) Full Text: DOI arXiv
Banica, Valeria; Vega, Luis Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow. (English) Zbl 1510.35287 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 927-946 (2022). MSC: 35Q55 35Q41 35Q31 76B47 35B25 76F99 34A34 53A04 PDFBibTeX XMLCite \textit{V. Banica} and \textit{L. Vega}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 927--946 (2022; Zbl 1510.35287) Full Text: DOI arXiv
Gassot, Louise The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability. (English) Zbl 1467.37061 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815-840 (2021). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K10 37E30 37K35 35Q53 35C07 PDFBibTeX XMLCite \textit{L. Gassot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815--840 (2021; Zbl 1467.37061) Full Text: DOI arXiv
Chambrion, Thomas; Thomann, Laurent On the bilinear control of the Gross-Pitaevskii equation. (English) Zbl 1437.35681 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 605-626 (2020). MSC: 35Q93 35Q55 35Q41 35L05 93C20 PDFBibTeX XMLCite \textit{T. Chambrion} and \textit{L. Thomann}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 605--626 (2020; Zbl 1437.35681) Full Text: DOI arXiv
Miao, Changxing; Murphy, Jason; Zheng, Jiqiang The energy-critical nonlinear wave equation with an inverse-square potential. (English) Zbl 1433.35199 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 417-456 (2020). MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{C. Miao} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 417--456 (2020; Zbl 1433.35199) Full Text: DOI arXiv
Kwak, Chulkwang Well-posedness issues on the periodic modified Kawahara equation. (English) Zbl 1435.35336 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 373-416 (2020). MSC: 35Q53 76B15 35G25 35A01 35A02 35R25 PDFBibTeX XMLCite \textit{C. Kwak}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 373--416 (2020; Zbl 1435.35336) Full Text: DOI arXiv
Forlano, Justin; Trenberth, William J. On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 1427.35253 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 7, 1987-2025 (2019). MSC: 35Q55 35R11 46T12 PDFBibTeX XMLCite \textit{J. Forlano} and \textit{W. J. Trenberth}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 7, 1987--2025 (2019; Zbl 1427.35253) Full Text: DOI arXiv
Robert, Tristan Global well-posedness of partially periodic KP-I equation in the energy space and application. (English) Zbl 1404.35106 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1773-1826 (2018). MSC: 35G25 35Q53 35B35 PDFBibTeX XMLCite \textit{T. Robert}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1773--1826 (2018; Zbl 1404.35106) Full Text: DOI arXiv
Molinet, Luc; Pilod, Didier; Vento, Stéphane On well-posedness for some dispersive perturbations of Burgers’ equation. (English) Zbl 1459.76024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1719-1756 (2018). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{L. Molinet} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1719--1756 (2018; Zbl 1459.76024) Full Text: DOI arXiv
Chen, Xi Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. III: Global-in-time Strichartz estimates without loss. (Résolvante et mesure spectrale sur des variétés non-captives asymptotiquement hyperboliques. III : Estimations de Strichartz sans perte et globales en temps.) (English. French summary) Zbl 1409.58021 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 803-829 (2018). MSC: 58J50 PDFBibTeX XMLCite \textit{X. Chen}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 803--829 (2018; Zbl 1409.58021) Full Text: DOI arXiv Link
Chung, Jaywan; Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. (English) Zbl 1386.35376 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 5, 1273-1297 (2017). MSC: 35Q55 PDFBibTeX XMLCite \textit{J. Chung} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 5, 1273--1297 (2017; Zbl 1386.35376) Full Text: DOI arXiv
Nguyen, Huy Quang A sharp Cauchy theory for the 2D gravity-capillary waves. (English) Zbl 1451.76028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1793-1836 (2017). MSC: 76B15 76B03 35A23 PDFBibTeX XMLCite \textit{H. Q. Nguyen}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1793--1836 (2017; Zbl 1451.76028) Full Text: DOI arXiv
Aloui, Lassaad; Khenissi, Moez; Robbiano, Luc The Kato smoothing effect for regularized Schrödinger equations in exterior domains. (English) Zbl 1377.35044 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1759-1792 (2017). MSC: 35B65 35Q41 PDFBibTeX XMLCite \textit{L. Aloui} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1759--1792 (2017; Zbl 1377.35044) 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
Mésognon-Gireau, Benoît The Cauchy problem on large time for the water waves equations with large topography variations. (English) Zbl 1359.35154 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 89-118 (2017). MSC: 35Q35 76B15 76M45 PDFBibTeX XMLCite \textit{B. Mésognon-Gireau}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 89--118 (2017; Zbl 1359.35154) 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
Richards, Geordie Invariance of the Gibbs measure for the periodic quartic gKdV. (English) Zbl 1342.35310 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 3, 699-766 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q53 PDFBibTeX XMLCite \textit{G. Richards}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 3, 699--766 (2016; Zbl 1342.35310) Full Text: DOI arXiv
Sohinger, Vedran A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems. (English) Zbl 1328.35220 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 6, 1337-1365 (2015). MSC: 35Q55 70E55 PDFBibTeX XMLCite \textit{V. Sohinger}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 6, 1337--1365 (2015; Zbl 1328.35220) Full Text: DOI arXiv
Molinet, Luc; Pilod, Didier Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications. (English) Zbl 1320.35106 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 347-371 (2015). MSC: 35B45 35A01 35Q53 35Q60 35G25 PDFBibTeX XMLCite \textit{L. Molinet} and \textit{D. Pilod}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 347--371 (2015; Zbl 1320.35106) 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
Bourgain, Jean; Bulut, Aynur Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: the 2D case. (English) Zbl 1307.35272 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1267-1288 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B30 35P20 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{A. Bulut}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1267--1288 (2014; Zbl 1307.35272) Full Text: DOI arXiv
Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng Global regularity for the energy-critical NLS on \(\mathbb S^3\). (English) Zbl 1307.35285 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 315-338 (2014). Reviewer: Matthias Liero (Berlin) MSC: 35Q55 35A01 35D35 PDFBibTeX XMLCite \textit{B. Pausader} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 315--338 (2014; Zbl 1307.35285) Full Text: DOI arXiv
Kishimoto, Nobu; Maeda, Masaya Construction of blow-up solutions for Zakharov system on \(\mathbb T^2\). (English) Zbl 1457.35069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 791-824 (2013). MSC: 35Q55 35B44 35A01 35L70 PDFBibTeX XMLCite \textit{N. Kishimoto} and \textit{M. Maeda}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 791--824 (2013; Zbl 1457.35069) Full Text: DOI arXiv
Fonseca, Germán; Linares, Felipe; Ponce, Gustavo The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces. (English) Zbl 1511.35035 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 763-790 (2013). MSC: 35B40 35B60 35G25 PDFBibTeX XMLCite \textit{G. Fonseca} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 763--790 (2013; Zbl 1511.35035) Full Text: DOI arXiv
Godet, Nicolas A lower bound on the blow-up rate for the Davey-Stewartson system on the torus. (English) Zbl 1288.35113 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 691-703 (2013). MSC: 35B44 PDFBibTeX XMLCite \textit{N. Godet}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 691--703 (2013; Zbl 1288.35113) Full Text: DOI arXiv
Baldi, Pietro Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type. (English. French summary) Zbl 1285.35090 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 33-77 (2013). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q53 37K55 35B10 37K50 PDFBibTeX XMLCite \textit{P. Baldi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 33--77 (2013; Zbl 1285.35090) Full Text: DOI arXiv
Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay Global well-posedness for the KP-II equation on the background of a non-localized solution. (English) Zbl 1279.35079 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 653-676 (2011). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{L. Molinet} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 653--676 (2011; Zbl 1279.35079) Full Text: DOI arXiv
Ivanovici, Oana; Planchon, Fabrice On the energy critical Schrödinger equation in 3D non-trapping domains. (English) Zbl 1200.35066 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1153-1177 (2010). MSC: 35J10 35Q55 35A01 35A02 35P25 PDFBibTeX XMLCite \textit{O. Ivanovici} and \textit{F. Planchon}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1153--1177 (2010; Zbl 1200.35066) Full Text: DOI arXiv
Nersesyan, Vahagn Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications. (English) Zbl 1191.35257 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 901-915 (2010). MSC: 35Q55 93B05 58J05 35J10 PDFBibTeX XMLCite \textit{V. Nersesyan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 901--915 (2010; Zbl 1191.35257) Full Text: DOI arXiv
Thomann, Laurent Random data Cauchy problem for supercritical Schrödinger equations. (English) Zbl 1180.35491 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2385-2402 (2009). MSC: 35Q55 35B35 35B05 37L50 35D35 PDFBibTeX XMLCite \textit{L. Thomann}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2385--2402 (2009; Zbl 1180.35491) Full Text: DOI arXiv EuDML
Grünrock, Axel; Panthee, Mahendra; Silva, Jorge Drumond On KP-II type equations on cylinders. (English) Zbl 1181.35237 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2335-2358 (2009). MSC: 35Q53 35B45 PDFBibTeX XMLCite \textit{A. Grünrock} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2335--2358 (2009; Zbl 1181.35237) Full Text: DOI arXiv EuDML
Anker, Jean-Philippe; Pierfelice, Vittoria Nonlinear Schrödinger equation on real hyperbolic spaces. (English) Zbl 1176.35166 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1853-1869 (2009). MSC: 35Q55 43A85 35P25 47J35 35B45 81V99 PDFBibTeX XMLCite \textit{J.-P. Anker} and \textit{V. Pierfelice}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1853--1869 (2009; Zbl 1176.35166) Full Text: DOI arXiv EuDML
Hadac, Martin; Herr, Sebastian; Koch, Herbert Well-posedness and scattering for the KP-II equation in a critical space. (English) Zbl 1169.35372 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 917-941 (2009); erratum ibid. 27, No. 3, 971-972 (2010). MSC: 35Q53 46E35 PDFBibTeX XMLCite \textit{M. Hadac} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 917--941 (2009; Zbl 1169.35372) Full Text: DOI arXiv EuDML
Rousset, F.; Tzvetkov, N. Transverse nonlinear instability for two-dimensional dispersive models. (English) Zbl 1169.35374 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 477-496 (2009). MSC: 35Q53 35Q55 35B35 PDFBibTeX XMLCite \textit{F. Rousset} and \textit{N. Tzvetkov}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 477--496 (2009; Zbl 1169.35374) Full Text: DOI arXiv EuDML
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. (English) Zbl 1157.35090 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 6, 1145-1185 (2008). MSC: 35Q53 35D05 35D10 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 6, 1145--1185 (2008; Zbl 1157.35090) Full Text: DOI EuDML
Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system. (English. French summary) Zbl 1138.35090 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 5, 825-833 (2007). MSC: 35Q75 35B40 PDFBibTeX XMLCite \textit{M. Lemou} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 5, 825--833 (2007; Zbl 1138.35090) Full Text: DOI Numdam EuDML
Kenig, Carlos E. On the local and global well-posedness theory for the KP-I equation. (English) Zbl 1072.35162 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 827-838 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q53 76B45 35B30 76B03 PDFBibTeX XMLCite \textit{C. E. Kenig}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 827--838 (2004; Zbl 1072.35162) Full Text: DOI Numdam Numdam EuDML
Burq, N.; Gérard, P.; Tzvetkov, N. On nonlinear Schrödinger equations in exterior domains. (English) Zbl 1061.35126 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 3, 295-318 (2004). MSC: 35Q55 37K05 37L50 81Q20 PDFBibTeX XMLCite \textit{N. Burq} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 3, 295--318 (2004; Zbl 1061.35126) Full Text: DOI Numdam Numdam EuDML