PUB - Publikationen an der Universität Bielefeld

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• [50]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999

  Herr, S., Sanwal, A., & Schippa, R. (2024). Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis, 286(4), 110292. https://doi.org/10.1016/j.jfa.2023.110292

  PUB | DOI | WoS | arXiv
   
• [49]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2983170

  Herr, S., & Kwak, B. (2023). Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$

  PUB | arXiv
   
• [48]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2982342

  Candy, T., & Herr, S. (2023). The massless and the non-relativistic limit for the cubic Dirac equation

  PUB | arXiv
   
• [47]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456

  Herr, S., Kato, I., Kinoshita, S., & Spitz, M. (2023). Local well-posedness of a system describing laser-plasma interactions. Vietnam Journal of Mathematics. Special issue dedicated to Carlos Kenig on the occasion of his 70th birthday., 51, 759-770. https://doi.org/10.1007/s10013-022-00577-0

  PUB | PDF | DOI | Download (ext.) | WoS | arXiv
   
• [46]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2967998

  Herr, S., Röckner, M., Spitz, M., & Zhang, D. (2023). The three dimensional stochastic Zakharov system

  PUB | arXiv
   
• [45]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554

  Candy, T., Herr, S., & Nakanishi, K. (2023). The Zakharov system in dimension $d>= 4$. Journal of the European Mathematical Society, 25(8), 3177-3228. https://doi.org/10.4171/JEMS/1212

  PUB | DOI | WoS | arXiv
   
• [44]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940435

  Herr, S., & Kinoshita, S. (2023). Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier, 73(3), 1203-1267. https://doi.org/10.5802/aif.3547

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• [43]
  

  2021 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2977912

  Herr, S., Bejenaru, I., & Candy, T. (2021). Nonlinear Dirac Equations. In D. Frey, Z. Guo, A. Hassell, P. Portal, J. Rozendaal, & P. - L. Yung (Eds.), Oberwolfach Reports: Vol. 18. MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021 (pp. 2469-2470). Berlin: European Mathematical Society - EMS - Publishing House GmbH.

  PUB
   
• [42]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549

  Herr, S., & Kinoshita, S. (2021). The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity. Journal of Evolution Equations, 21(2), 2105-2121. https://doi.org/10.1007/s00028-021-00671-9

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• [41]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485

  Candy, T., Herr, S., & Nakanishi, K. (2021). Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics, 384, 107746. https://doi.org/10.1016/j.aim.2021.107746

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934333

  Herr, S., Lamm, T., & Schnaubelt, R. (2020). Biharmonic wave maps into spheres. Proceedings of the American Mathematical Society, 148(2), 787-796. https://doi.org/10.1090/proc/14744

  PUB | DOI | WoS | arXiv
   
• [39]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334

  Herr, S., Lamm, T., Schmid, T., & Schnaubelt, R. (2020). Biharmonic wave maps: Local wellposedness in high regularity. Nonlinearity, 33(5), 2270-2305. https://doi.org/10.1088/1361-6544/ab73ce

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• [38]
  

  2019 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934357

  Herr, S. (2019). Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy). In M. Hochbruck, H. Koch, S. - J. Oh, & A. Ostermann (Eds.), Oberwolfach Reports: Vol. 16. Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019. (pp. 350-352). Zürich: European Mathematical Society. doi:10.4171/OWR/2019/5

  PUB | DOI
   
• [37]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335

  Herr, S., & Sohinger, V. (2019). Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation. Communications in Contemporary Mathematics, 21(7), 1850058. doi:10.1142/S021919971850058X

  PUB | DOI | WoS | arXiv
   
• [36]
  

  2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356

  Herr, S. (2019). Initial value problems for nonlinear dispersive equations at critical regularity. In M. Baake, F. Götze, & W. Hoffmann (Eds.), EMS Series of Congress Reports. Spectral Structures and Topological Methods in Mathematics (pp. 159-182). Zürich: EMS Publishing House. doi:10.4171/197-1/7

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• [35]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350

  Herr, S., Röckner, M., & Zhang, D. (2019). Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics, 368(2), 843–884. doi:10.1007/s00220-019-03429-0

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• [34]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273

  Candy, T., & Herr, S. (2018). Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma, 6, e9. doi:10.1017/fms.2018.8

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• [33]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931510

  Candy, T., & Herr, S. (2018). On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri Poincaré (C). Non Linear Analysis, 35(6), 1707-1717. doi:10.1016/j.anihpc.2018.02.001

  PUB | DOI | WoS | arXiv
   
• [32]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920707

  Candy, T., & Herr, S. (2018). Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System. Analysis & PDE, 11(5), 1171-1240. doi:10.2140/apde.2018.11.1171

  PUB | DOI | WoS | arXiv
   
• [31]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332

  Candy, T., & Herr, S. (2018). On the Division Problem for the Wave Maps Equation. Annals of PDE, 4(2), 17. doi:10.1007/s40818-018-0054-z

  PUB | DOI | Download (ext.) | arXiv
   
• [30]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010

  Herr, S., & Yang, C. (2018). Critical well-posedness and scattering results for fractional Hartree-type equations. Differential and Integral Equations, 31(9-10), 701-714.

  PUB | Download (ext.) | arXiv
   
• [29]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672

  Herr, S., & Schratz, K. (2017). Trigonometric time integrators for the Zakharov system. IMA Journal of Numerical Analysis, 37(4), 2042-2066. doi:10.1093/imanum/drw059

  PUB | DOI | WoS | arXiv
   
• [28]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012

  Bejenaru, I., & Herr, S. (2017). On global well-posedness and scattering for the massive Dirac-Klein-Gordon system. Journal of the European Mathematical Society, 19(8), 2445-2467. doi:10.4171/JEMS/721

  PUB | DOI | WoS | arXiv
   
• [27]
  

  2017 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934355

  Herr, S. (2017). On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy). In H. Koch, P. Raphael, M. Visan, & D. Tataru (Eds.), Oberwolfach Reports: Vol. 14. Nonlinear Waves and Dispersive Equations. Report 27/2017 (pp. 1691-1693). Zürich: European Mathematical Society. doi:10.4171/OWR/2017/27

  PUB | DOI
   
• [26]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132

  Herr, S., & Sohinger, V. (2016). The Gross-Pitaevskii Hierarchy on General Rectangular Tori. Archive for Rational Mechanics and Analysis, 220(3), 1119-1158. doi:10.1007/s00205-015-0950-2

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123

  Bejenaru, I., & Herr, S. (2016). The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics, 343(2), 515-562. doi:10.1007/s00220-015-2508-4

  PUB | DOI | WoS | arXiv
   
• [24]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987

  Herr, S., & Marzuola, J. L. (2016). On Discrete Rarefaction Waves in an NLS Toy Model for Weak Turbulence. Indiana University Mathematics Journal, 65(3), 753-777. doi:10.1512/iumj.2016.65.5815

  PUB | DOI | arXiv
   
• [23]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261

  Bejenaru, I., & Herr, S. (2015). The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics, 335(1), 43-82. doi:10.1007/s00220-014-2164-0

  PUB | DOI | WoS | arXiv
   
• [22]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705

  Bejenaru, I., Guo, Z., Herr, S., & Nakanishi, K. (2015). Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE, 8(8), 2029-2055. doi:10.2140/apde.2015.8.2029

  PUB | DOI | WoS | arXiv
   
• [21]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741

  Herr, S., & Strunk, N. (2015). The energy-critical nonlinear Schrodinger equation on a product of spheres. Mathematical Research Letters, 22(3), 741-761. doi:10.4310/MRL.2015.v22.n3.a7

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691

  Herr, S., & Tesfahun, A. (2015). Small data scattering for semi-relativistic equations with Hartree type nonlinearity. Journal of Differential Equations, 259(10), 5510-5532. doi:10.1016/j.jde.2015.06.037

  PUB | DOI | WoS | arXiv
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804

  Gruenrock, A., & Herr, S. (2014). The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A, 34(5), 2061-2068. https://doi.org/10.3934/dcds.2014.34.2061

  PUB | DOI | WoS | arXiv
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896

  Herr, S., Tataru, D., & Tzvetkov, N. (2014). Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications. Journal für die reine und angewandte Mathematik (Crelles Journal), 2014(690), 65-78. doi:10.1515/crelle-2012-0013

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• [17]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424

  Herr, S., & Lenzmann, E. (2014). The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications, 97, 125-137. doi:10.1016/j.na.2013.11.023

  PUB | DOI | WoS | arXiv
   
• [16]
  

  2014 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934354

  Herr, S. (2014). Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru). In M. Hochbruck, S. Nicaise, A. Ostermann, & R. Schnaubelt (Eds.), Oberwolfach Reports: Vol. 11. Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014 (pp. 818-820). Zürich: European Mathematical Society. doi:10.4171/OWR/2014/14

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• [15]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819

  Herr, S. (2013). The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds. American Journal of Mathematics, 135(5), 1271-1290. doi:10.1353/ajm.2013.0040

  PUB | DOI | WoS | arXiv
   
• [14]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339

  Blair, M. D., Ford, G. A., Herr, S., & Marzuola, J. L. (2012). Strichartz Estimates for the Schrödinger Equation on Polygonal Domains. Journal of Geometric Analysis, 22(2), 339-351. doi:10.1007/s12220-010-9187-3

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337

  Bejenaru, I., & Herr, S. (2011). Convolutions of singular measures and applications to the Zakharov system. Journal of Functional Analysis, 261(2), 478-506. doi:10.1016/j.jfa.2011.03.015

  PUB | DOI | WoS | arXiv
   
• [12]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340

  Herr, S., Tataru, D., & Tzvetkov, N. (2011). Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(T^3)$. Duke Mathematical Journal, 159(2), 329-349. doi:10.1215/00127094-1415889

  PUB | DOI | WoS | arXiv
   
• [11]
  

  2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934352

  Herr, S. (2010). Energy critical nonlinear Schrödinger equations in the presence of periodic geodesics (Report on joint work with Daniel Tataru and Nikolay Tzvetkov). Proceedings of the 'Journées équations aux dérivées partielles', Port d'Albret, 7 juin–11 juin 2010, 2010 Cedram. doi:10.5802/jedp.67

  PUB | DOI
   
• [10]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341

  Herr, S., Ionescu, A. D., Kenig, C. E., & Koch, H. (2010). A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations. Communications in Partial Differential Equations, 35(10), 1827-1875. doi:10.1080/03605302.2010.487232

  PUB | DOI | WoS | arXiv
   
• [9]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338

  Bejenaru, I., Herr, S., & Tataru, D. (2010). A convolution estimate for two-dimensional hypersurfaces. Revista Matemática Iberoamericana, 26(2), 707-728. doi:10.4171/RMI/615

  PUB | DOI | arXiv
   
• [8]
  

  2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934353

  Herr, S. (2010). On energy critical nonlinear Schrödinger equations with (partially) periodic initial data in $H^1$ (Extended abstract of joint work with Daniel Tataru and Nikolay Tzvetkov). In C. E. Kenig, H. Koch, & D. Tataru (Eds.), Oberwolfach Reports: Vol. 7. Nonlinear Waves and Dispersive Equations. Report 41/2010 (pp. 2400-2401). Zürich: European Mathematical Society. doi:10.4171/OWR/2010/41

  PUB | DOI
   
• [7]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342

  Bejenaru, I., Herr, S., Holmer, J., & Tataru, D. (2009). On the 2D Zakharov system with $L^2$ Schrödinger data. Nonlinearity, 22(5), 1063-1089. doi:10.1088/0951-7715/22/5/007

  PUB | DOI | WoS | arXiv
   
• [6]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343

  Hadac, M., Herr, S., & Koch, H. (2009). Well-posedness and scattering for the KP-II equation in a critical space. Annales de l'Institut Henri Poincaré (C). Non Linear Analysis, 26(3), 917-941. doi:10.1016/j.anihpc.2008.04.002

  PUB | DOI | WoS | arXiv
   
• [5]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934344

  Herr, S. (2008). A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations. Proceedings of the American Mathematical Society, 136(8), 2881-2886. doi:10.1090/S0002-9939-08-09238-1

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• [4]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349

  Grünrock, A., & Herr, S. (2008). Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data. SIAM Journal on Mathematical Analysis, 39(6), 1890-1920. doi:10.1137/070689139

  PUB | DOI | WoS | arXiv
   
• [3]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934345

  Herr, S. (2007). Well-posedness for equations of Benjamin-Ono type. Illinois Journal of Mathematics, 51(3), 951-976.

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• [2]
  

  2007 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934351

  Herr, S. (2007). The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work with Martin Hadac and Herbert Koch). In C. E. Kenig, H. Koch, & D. Tataru (Eds.), Oberwolfach Reports: Vol. 4. Nonlinear Waves and Dispersive Equations. Report 44/2007 (pp. 2623-2625). Zürich: European Mathematical Society . doi:10.4171/OWR/2007/44

  PUB | DOI
   
• [1]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347

  Herr, S. (2006). On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition. International Mathematics Research Notices, 2006, 096763. doi:10.1155/imrn/2006/96763

  PUB | DOI | arXiv