Röckner, Michael; Su, Yiming; Zhang, Deng Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. (English) Zbl 07785455 Trans. Am. Math. Soc. 377, No. 1, 517-588 (2024). MSC: 35Q55 35B44 35B40 35C08 35B25 35R60 PDFBibTeX XMLCite \textit{M. Röckner} et al., Trans. Am. Math. Soc. 377, No. 1, 517--588 (2024; Zbl 07785455) Full Text: DOI arXiv
Deya, Aurélien; Schaeffer, Nicolas; Thomann, Laurent A nonlinear Schrödinger equation with fractional noise. (English) Zbl 1473.60096 Trans. Am. Math. Soc. 374, No. 6, 4375-4422 (2021). Reviewer: Dimitra Antonopoulou (Chester) MSC: 60H15 35Q55 60G22 PDFBibTeX XMLCite \textit{A. Deya} et al., Trans. Am. Math. Soc. 374, No. 6, 4375--4422 (2021; Zbl 1473.60096) Full Text: DOI arXiv
Fukaya, Noriyoshi; Hayashi, Masayuki Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities. (English) Zbl 1458.35387 Trans. Am. Math. Soc. 374, No. 2, 1421-1447 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q41 35A15 35B35 PDFBibTeX XMLCite \textit{N. Fukaya} and \textit{M. Hayashi}, Trans. Am. Math. Soc. 374, No. 2, 1421--1447 (2021; Zbl 1458.35387) Full Text: DOI arXiv
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin Scattering for the \(L^2\) supercritical point NLS. (English) Zbl 1457.35064 Trans. Am. Math. Soc. 374, No. 1, 35-60 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B40 35P25 78A60 PDFBibTeX XMLCite \textit{R. Adami} et al., Trans. Am. Math. Soc. 374, No. 1, 35--60 (2021; Zbl 1457.35064) Full Text: DOI arXiv
Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. (English) Zbl 1420.35343 Trans. Am. Math. Soc. 372, No. 3, 2167-2212 (2019). MSC: 35Q55 35J30 35J50 35B35 35Q60 35Q40 35B09 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Trans. Am. Math. Soc. 372, No. 3, 2167--2212 (2019; Zbl 1420.35343) Full Text: DOI arXiv
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on \(\mathbb{R}\). (English) Zbl 1416.35243 Trans. Am. Math. Soc. 371, No. 7, 5179-5202 (2019). MSC: 35Q55 81V70 PDFBibTeX XMLCite \textit{D. Mendelson} et al., Trans. Am. Math. Soc. 371, No. 7, 5179--5202 (2019; Zbl 1416.35243) Full Text: DOI arXiv
Da Rocha, Victor Vilaça Modified scattering and beating effect for coupled Schrödinger systems on product spaces with small initial data. (English) Zbl 1416.35236 Trans. Am. Math. Soc. 371, No. 7, 4743-4768 (2019). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{V. V. Da Rocha}, Trans. Am. Math. Soc. 371, No. 7, 4743--4768 (2019; Zbl 1416.35236) Full Text: DOI arXiv
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios The nonlinear Schrödinger equation on the half-line. (English) Zbl 1351.35182 Trans. Am. Math. Soc. 369, No. 1, 681-709 (2017). MSC: 35Q55 35G16 35G31 35B45 35C08 35B30 PDFBibTeX XMLCite \textit{A. S. Fokas} et al., Trans. Am. Math. Soc. 369, No. 1, 681--709 (2017; Zbl 1351.35182) Full Text: DOI Link
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. (English) Zbl 1372.35282 Trans. Am. Math. Soc. 368, No. 11, 7911-7934 (2016). Reviewer: François Genoud (Delft) MSC: 35Q55 35B30 35B65 35B44 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Trans. Am. Math. Soc. 368, No. 11, 7911--7934 (2016; Zbl 1372.35282) Full Text: DOI arXiv
Sohinger, Vedran Local existence of solutions to randomized Gross-Pitaevskii hierarchies. (English) Zbl 1341.35151 Trans. Am. Math. Soc. 368, No. 3, 1759-1835 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 70E55 PDFBibTeX XMLCite \textit{V. Sohinger}, Trans. Am. Math. Soc. 368, No. 3, 1759--1835 (2016; Zbl 1341.35151) Full Text: DOI arXiv
Moroz, Vitaly; van Schaftingen, Jean Existence of groundstates for a class of nonlinear Choquard equations. (English) Zbl 1325.35052 Trans. Am. Math. Soc. 367, No. 9, 6557-6579 (2015). MSC: 35J61 35B33 35B38 35B65 35Q55 45K05 PDFBibTeX XMLCite \textit{V. Moroz} and \textit{J. van Schaftingen}, Trans. Am. Math. Soc. 367, No. 9, 6557--6579 (2015; Zbl 1325.35052) Full Text: DOI arXiv
Holmer, Justin; Perelman, Galina; Roudenko, Svetlana A solution to the focusing 3d NLS that blows up on a contracting sphere. (English) Zbl 1325.35201 Trans. Am. Math. Soc. 367, No. 6, 3847-3872 (2015). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35B44 PDFBibTeX XMLCite \textit{J. Holmer} et al., Trans. Am. Math. Soc. 367, No. 6, 3847--3872 (2015; Zbl 1325.35201) Full Text: DOI arXiv
Iwabuchi, Tsukasa; Ogawa, Takayoshi Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions. (English) Zbl 1310.35216 Trans. Am. Math. Soc. 367, No. 4, 2613-2630 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 PDFBibTeX XMLCite \textit{T. Iwabuchi} and \textit{T. Ogawa}, Trans. Am. Math. Soc. 367, No. 4, 2613--2630 (2015; Zbl 1310.35216) Full Text: DOI
Harrop-Griffiths, Benjamin Large data local well-posedness for a class of KdV-type equations. (English) Zbl 1312.35151 Trans. Am. Math. Soc. 367, No. 2, 755-773 (2015). Reviewer: Marin I. Marin (Braşov) MSC: 35Q53 34L40 35G25 49K40 PDFBibTeX XMLCite \textit{B. Harrop-Griffiths}, Trans. Am. Math. Soc. 367, No. 2, 755--773 (2015; Zbl 1312.35151) Full Text: DOI arXiv
Cuccagna, Scipio On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. (English) Zbl 1293.35289 Trans. Am. Math. Soc. 366, No. 6, 2827-2888 (2014). MSC: 35Q55 35B40 35Q51 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) Full Text: DOI arXiv
Cuccagna, Scipio; Visciglia, Nicola On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. (English) Zbl 1298.35191 Trans. Am. Math. Soc. 363, No. 5, 2357-2391 (2011). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{N. Visciglia}, Trans. Am. Math. Soc. 363, No. 5, 2357--2391 (2011; Zbl 1298.35191) Full Text: DOI arXiv
Sirakov, Boyan; Soares, Sérgio H. M. Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type. (English) Zbl 1202.35081 Trans. Am. Math. Soc. 362, No. 11, 5729-5744 (2010). MSC: 35J47 35J50 35J10 35B09 35B30 35Q55 PDFBibTeX XMLCite \textit{B. Sirakov} and \textit{S. H. M. Soares}, Trans. Am. Math. Soc. 362, No. 11, 5729--5744 (2010; Zbl 1202.35081) Full Text: DOI
Zhou, Yi Cauchy problem of nonlinear Schrödinger equation with initial data in Sobolev space \(W^{s,p}\) for \(p<2\). (English) Zbl 1198.35264 Trans. Am. Math. Soc. 362, No. 9, 4683-4694 (2010). MSC: 35Q55 35Q41 35A01 35A02 81Q05 PDFBibTeX XMLCite \textit{Y. Zhou}, Trans. Am. Math. Soc. 362, No. 9, 4683--4694 (2010; Zbl 1198.35264) Full Text: DOI arXiv
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming Multibump solutions and critical groups. (English) Zbl 1175.37066 Trans. Am. Math. Soc. 361, No. 6, 3159-3187 (2009). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 37J45 34C28 35J20 35Q55 PDFBibTeX XMLCite \textit{G. Arioli} et al., Trans. Am. Math. Soc. 361, No. 6, 3159--3187 (2009; Zbl 1175.37066) Full Text: DOI
Bejenaru, Ioan; de Silva, Daniela Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation. (English) Zbl 1155.35088 Trans. Am. Math. Soc. 360, No. 11, 5805-5830 (2008). MSC: 35Q55 35B65 35B45 PDFBibTeX XMLCite \textit{I. Bejenaru} and \textit{D. de Silva}, Trans. Am. Math. Soc. 360, No. 11, 5805--5830 (2008; Zbl 1155.35088) Full Text: DOI arXiv
Ayache, Antoine; Tzvetkov, Nikolay \(L^p\) properties for Gaussian random series. (English) Zbl 1145.60019 Trans. Am. Math. Soc. 360, No. 8, 4425-4439 (2008). MSC: 60G15 35Q55 37K05 37L50 60G50 PDFBibTeX XMLCite \textit{A. Ayache} and \textit{N. Tzvetkov}, Trans. Am. Math. Soc. 360, No. 8, 4425--4439 (2008; Zbl 1145.60019) Full Text: DOI arXiv
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations. (English) Zbl 1167.35042 Trans. Am. Math. Soc. 360, No. 7, 3813-3837 (2008). MSC: 35Q55 35B35 35B38 35J20 PDFBibTeX XMLCite \textit{D. Cao} et al., Trans. Am. Math. Soc. 360, No. 7, 3813--3837 (2008; Zbl 1167.35042) Full Text: DOI
Bégout, Pascal; Vargas, Ana Mass concentration phenomena for the \(L^2\)-critical nonlinear Schrödinger equation. (English) Zbl 1171.35109 Trans. Am. Math. Soc. 359, No. 11, 5257-5282 (2007). Reviewer: Horst Lange (Freiburg) MSC: 35Q55 35B05 35B33 35B40 PDFBibTeX XMLCite \textit{P. Bégout} and \textit{A. Vargas}, Trans. Am. Math. Soc. 359, No. 11, 5257--5282 (2007; Zbl 1171.35109) Full Text: DOI arXiv
Stefanov, Atanas On quadratic derivative Schrödinger equations in one space dimension. (English) Zbl 1119.35090 Trans. Am. Math. Soc. 359, No. 8, 3589-3607 (2007). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35Q40 35J10 PDFBibTeX XMLCite \textit{A. Stefanov}, Trans. Am. Math. Soc. 359, No. 8, 3589--3607 (2007; Zbl 1119.35090) Full Text: DOI
Carles, Rémi; Keraani, Sahbi On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The \(L^2\)-critical case. (English) Zbl 1115.35119 Trans. Am. Math. Soc. 359, No. 1, 33-62 (2007). Reviewer: Temuri A. Jangveladze (Tbilisi) MSC: 35Q55 35B05 35B40 PDFBibTeX XMLCite \textit{R. Carles} and \textit{S. Keraani}, Trans. Am. Math. Soc. 359, No. 1, 33--62 (2007; Zbl 1115.35119) Full Text: DOI arXiv
Matthies, Karsten; Scheel, Arnd Exponential averaging for Hamiltonian evolution equations. (English) Zbl 1008.37043 Trans. Am. Math. Soc. 355, No. 2, 747-773 (2003). MSC: 37K55 35Q55 70K65 70K70 PDFBibTeX XMLCite \textit{K. Matthies} and \textit{A. Scheel}, Trans. Am. Math. Soc. 355, No. 2, 747--773 (2003; Zbl 1008.37043) Full Text: DOI
Chen, Zhen-Qing Gaugeability and conditional gaugeability. (English) Zbl 1006.60072 Trans. Am. Math. Soc. 354, No. 11, 4639-4679 (2002). MSC: 60J45 60J57 35J10 35S05 47J20 60J35 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Trans. Am. Math. Soc. 354, No. 11, 4639--4679 (2002; Zbl 1006.60072) Full Text: DOI
Pan, Xing-Bin; Kwek, Keng-Huat Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains. (English) Zbl 1004.35110 Trans. Am. Math. Soc. 354, No. 10, 4201-4227 (2002). MSC: 35Q55 81Q10 82D55 PDFBibTeX XMLCite \textit{X.-B. Pan} and \textit{K.-H. Kwek}, Trans. Am. Math. Soc. 354, No. 10, 4201--4227 (2002; Zbl 1004.35110) Full Text: DOI
Biagioni, H. A.; Linares, F. Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. (English) Zbl 0970.35154 Trans. Am. Math. Soc. 353, No. 9, 3649-3659 (2001). MSC: 35R25 35Q55 35Q51 PDFBibTeX XMLCite \textit{H. A. Biagioni} and \textit{F. Linares}, Trans. Am. Math. Soc. 353, No. 9, 3649--3659 (2001; Zbl 0970.35154) Full Text: DOI
Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G. Bilinear estimates and applications to 2d NLS. (English) Zbl 0970.35142 Trans. Am. Math. Soc. 353, No. 8, 3307-3325 (2001). MSC: 35Q55 42B35 PDFBibTeX XMLCite \textit{J. E. Colliander} et al., Trans. Am. Math. Soc. 353, No. 8, 3307--3325 (2001; Zbl 0970.35142) Full Text: DOI
Melbourne, Ian Steady-state bifurcation with Euclidean symmetry. (English) Zbl 0913.58042 Trans. Am. Math. Soc. 351, No. 4, 1575-1603 (1999). MSC: 37G99 35B32 35K55 35Q55 PDFBibTeX XMLCite \textit{I. Melbourne}, Trans. Am. Math. Soc. 351, No. 4, 1575--1603 (1999; Zbl 0913.58042) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics of solutions to the generalized Benjamin-Ono equation. (English) Zbl 0903.35066 Trans. Am. Math. Soc. 351, No. 1, 109-130 (1999). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Trans. Am. Math. Soc. 351, No. 1, 109--130 (1999; Zbl 0903.35066) Full Text: DOI
Vaninsky, K. L. A convexity theorem in the scattering theory for the Dirac operator. (English) Zbl 0893.34078 Trans. Am. Math. Soc. 350, No. 5, 1895-1911 (1998). MSC: 34L25 34L40 34L05 81U99 PDFBibTeX XMLCite \textit{K. L. Vaninsky}, Trans. Am. Math. Soc. 350, No. 5, 1895--1911 (1998; Zbl 0893.34078) Full Text: DOI arXiv
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis Quadratic forms for the 1-D semilinear Schrödinger equation. (English) Zbl 0862.35111 Trans. Am. Math. Soc. 348, No. 8, 3323-3353 (1996). Reviewer: A.Tsutsumi (Osaka) MSC: 35Q55 35G10 35K25 35P05 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Trans. Am. Math. Soc. 348, No. 8, 3323--3353 (1996; Zbl 0862.35111) Full Text: DOI
Kajikiya, Ryuji Norm estimates for radially symmetric solutions of semilinear elliptic equations. (English) Zbl 0833.35039 Trans. Am. Math. Soc. 347, No. 4, 1163-1199 (1995). Reviewer: O.Titow (Berlin) MSC: 35J60 34B15 PDFBibTeX XMLCite \textit{R. Kajikiya}, Trans. Am. Math. Soc. 347, No. 4, 1163--1199 (1995; Zbl 0833.35039) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis On the generalized Benjamin-Ono equation. (English) Zbl 0804.35105 Trans. Am. Math. Soc. 342, No. 1, 155-172 (1994). Reviewer: Y.Kivshar (Canberra) MSC: 35Q30 35G25 35D99 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Trans. Am. Math. Soc. 342, No. 1, 155--172 (1994; Zbl 0804.35105) Full Text: DOI
Lee, Jyh-Hao Global solvability of the derivative nonlinear Schrödinger equation. (English) Zbl 0729.35130 Trans. Am. Math. Soc. 314, No. 1, 107-118 (1989). MSC: 35Q55 35A05 34A55 35P25 35R30 PDFBibTeX XMLCite \textit{J.-H. Lee}, Trans. Am. Math. Soc. 314, No. 1, 107--118 (1989; Zbl 0729.35130) Full Text: DOI
Fleckinger, Jacqueline; Lapidus, Michel L. Eigenvalues of elliptic boundary value problems with an indefinite weight function. (English) Zbl 0602.35084 Trans. Am. Math. Soc. 295, 305-324 (1986). Reviewer: M.Kucera MSC: 35P20 35J25 35J40 35J20 35J35 35P15 34L99 35J10 35P30 49R50 PDFBibTeX XMLCite \textit{J. Fleckinger} and \textit{M. L. Lapidus}, Trans. Am. Math. Soc. 295, 305--324 (1986; Zbl 0602.35084) Full Text: DOI