PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2025 | Preprint | PUB-ID: 3002186

  B. Gess, S. Herr, and A.D. Niesdroy, “Existence of martingale solutions to a stochastic kinetic model of chemotaxis”, ArXiv: 2504.00450, 2025.

  PUB | DOI | arXiv
   
• [57]
  

  2025 | Preprint | PUB-ID: 3001325

  S. Herr, C. Maulén, and C. Muñoz, “Decay of solutions of nonlinear Dirac equations”, 2025.

  PUB | arXiv
   
• [56]
  

  2025 | Preprint | PUB-ID: 3000953

  S. Herr and S. Hong, “Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations”, 2025.

  PUB | arXiv
   
• [55]
  

  2025 | Preprint | PUB-ID: 3000992

  S. Herr and B. Kwak, “Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$”, 2025.

  PUB | arXiv
   
• [54]
  

  2024 | Preprint | Angenommen | PUB-ID: 2992599

  L. Banas and S. Herr, “Numerical approximation of bi-harmonic wave maps into spheres”, SIAM J. Numer. Anal., Accepted.

  PUB | arXiv
   
• [53]
  

  2024 | Preprint | Eingereicht | PUB-ID: 2993301

  S. Herr, et al., “The energy-critical stochastic Zakharov system”, Submitted.

  PUB | arXiv
   
• [52]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983170

  S. Herr and B. Kwak, “Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$”, Forum of Mathematics, Pi, vol. 12, 2024, : e14.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [51]
  

  2024 | Preprint | PUB-ID: 2991385

  S. Herr, R. Schippa, and N. Tzvetkov, “The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$”, 2024.

  PUB | arXiv
   
• [50]
  

  2024 | Preprint | PUB-ID: 2990305

  S. Herr, M. Ifrim, and M. Spitz, “Modified scattering for the three dimensional Maxwell-Dirac system”, 2024.

  PUB | arXiv
   
• [49]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999

  S. Herr, A. Sanwal, and R. Schippa, “Low regularity well-posedness of KP-I equations: the three-dimensional case”, Journal of Functional Analysis, vol. 286, 2024, : 110292.

  PUB | DOI | WoS | arXiv
   
• [48]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554

  T. Candy, S. Herr, and K. Nakanishi, “The Zakharov system in dimension $d >= 4$”, Journal of the European Mathematical Society, vol. 25, 2023, pp. 3177-3228.

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2023 | Preprint | Angenommen | PUB-ID: 2967998

  S. Herr, et al., “The three dimensional stochastic Zakharov system”, The Annals of Probability, Accepted.

  PUB | arXiv
   
• [46]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2982342

  T. Candy and S. Herr, “The massless and the non-relativistic limit for the cubic Dirac equation”, 2023.

  PUB | arXiv
   
• [45]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456

  S. Herr, et al., “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., vol. 51, 2023, pp. 759-770.

  PUB | PDF | DOI | Download (ext.) | WoS | arXiv
   
• [44]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940435

  S. Herr and S. Kinoshita, “Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher”, Annales de l‘Institut Fourier, vol. 73, 2023, pp. 1203-1267.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [43]
  

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

  S. Herr, “Nonlinear Dirac Equations (Extended abstract of joint work with Ioan Bejenaru and Timothy Candy)”, MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021, D. Frey, et al., eds., Oberwolfach Reports, vol. 18, Berlin: European Mathematical Society - EMS - Publishing House GmbH, 2021, pp.2469-2470.

  PUB | DOI
   
• [42]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549

  S. Herr and S. Kinoshita, “The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity”, Journal of Evolution Equations, vol. 21, 2021, pp. 2105-2121.

  PUB | PDF | DOI | Download (ext.) | WoS | arXiv
   
• [41]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485

  T. Candy, S. Herr, and K. Nakanishi, “Global wellposedness for the energy-critical Zakharov system below the ground state”, Advances in Mathematics, vol. 384, 2021, : 107746.

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934333

  S. Herr, T. Lamm, and R. Schnaubelt, “Biharmonic wave maps into spheres”, Proceedings of the American Mathematical Society, vol. 148, 2020, pp. 787-796.

  PUB | DOI | WoS | arXiv
   
• [39]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334

  S. Herr, et al., “Biharmonic wave maps: Local wellposedness in high regularity”, Nonlinearity, vol. 33, 2020, pp. 2270-2305.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [38]
  

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

  S. Herr, “Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy)”, Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019., M. Hochbruck, et al., eds., Oberwolfach Reports, vol. 16, Zürich: European Mathematical Society, 2019, pp.350-352.

  PUB | DOI
   
• [37]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335

  S. Herr and V. Sohinger, “Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation”, Communications in Contemporary Mathematics, vol. 21, 2019, : 1850058.

  PUB | DOI | WoS | arXiv
   
• [36]
  

  2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356

  S. Herr, “Initial value problems for nonlinear dispersive equations at critical regularity”, Spectral Structures and Topological Methods in Mathematics, M. Baake, F. Götze, and W. Hoffmann, eds., EMS Series of Congress Reports, Zürich: EMS Publishing House, 2019, pp.159-182.

  PUB | DOI | Download (ext.)
   
• [35]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350

  S. Herr, M. Röckner, and D. Zhang, “Scattering for stochastic nonlinear Schrödinger equations”, Communications in Mathematical Physics, vol. 368, 2019, pp. 843–884.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [34]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273

  T. Candy and S. Herr, “Conditional large initial data scattering results for the Dirac-Klein-Gordon system”, Forum of Mathematics. Sigma, vol. 6, 2018, : e9.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [33]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931510

  T. Candy and S. Herr, “On the Majorana condition for nonlinear Dirac systems”, Annales de l'Institut Henri Poincaré (C). Non Linear Analysis, vol. 35, 2018, pp. 1707-1717.

  PUB | DOI | WoS | arXiv
   
• [32]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920707

  T. Candy and S. Herr, “Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System”, Analysis & PDE, vol. 11, 2018, pp. 1171-1240.

  PUB | DOI | WoS | arXiv
   
• [31]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332

  T. Candy and S. Herr, “On the Division Problem for the Wave Maps Equation”, Annals of PDE, vol. 4, 2018, : 17.

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

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010

  S. Herr and C. Yang, “Critical well-posedness and scattering results for fractional Hartree-type equations”, Differential and Integral Equations, vol. 31, 2018, pp. 701-714.

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672

  S. Herr and K. Schratz, “Trigonometric time integrators for the Zakharov system”, IMA Journal of Numerical Analysis, vol. 37, 2017, pp. 2042-2066.

  PUB | DOI | WoS | arXiv
   
• [28]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012

  I. Bejenaru and S. Herr, “On global well-posedness and scattering for the massive Dirac-Klein-Gordon system”, Journal of the European Mathematical Society, vol. 19, 2017, pp. 2445-2467.

  PUB | DOI | WoS | arXiv
   
• [27]
  

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

  S. Herr, “On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy)”, Nonlinear Waves and Dispersive Equations. Report 27/2017, H. Koch, et al., eds., Oberwolfach Reports, vol. 14, Zürich: European Mathematical Society, 2017, pp.1691-1693.

  PUB | DOI
   
• [26]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132

  S. Herr and V. Sohinger, “The Gross-Pitaevskii Hierarchy on General Rectangular Tori”, Archive for Rational Mechanics and Analysis, vol. 220, 2016, pp. 1119-1158.

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123

  I. Bejenaru and S. Herr, “The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$”, Communications in Mathematical Physics, vol. 343, 2016, pp. 515-562.

  PUB | DOI | WoS | arXiv
   
• [24]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987

  S. Herr and J.L. Marzuola, “On Discrete Rarefaction Waves in an NLS Toy Model for Weak Turbulence”, Indiana University Mathematics Journal, vol. 65, 2016, pp. 753-777.

  PUB | DOI | arXiv
   
• [23]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261

  I. Bejenaru and S. Herr, “The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$”, Communications in Mathematical Physics, vol. 335, 2015, pp. 43-82.

  PUB | DOI | WoS | arXiv
   
• [22]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705

  I. Bejenaru, et al., “Well-posedness and scattering for the Zakharov system in four dimensions”, Analysis & PDE, vol. 8, 2015, pp. 2029-2055.

  PUB | DOI | WoS | arXiv
   
• [21]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741

  S. Herr and N. Strunk, “The energy-critical nonlinear Schrodinger equation on a product of spheres”, Mathematical Research Letters, vol. 22, 2015, pp. 741-761.

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691

  S. Herr and A. Tesfahun, “Small data scattering for semi-relativistic equations with Hartree type nonlinearity”, Journal of Differential Equations, vol. 259, 2015, pp. 5510-5532.

  PUB | DOI | WoS | arXiv
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804

  A. Gruenrock and S. Herr, “The Fourier restriction norm method for the Zakharov-Kuznetsov equation”, Discrete and Continuous Dynamical Systems - Series A, vol. 34, 2014, pp. 2061-2068.

  PUB | DOI | WoS | arXiv
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896

  S. Herr, D. Tataru, and N. Tzvetkov, “Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications”, Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2014, 2014, pp. 65-78.

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424

  S. Herr and E. Lenzmann, “The Boson star equation with initial data of low regularity”, Nonlinear Analysis. Theory Methods & Applications, vol. 97, 2014, pp. 125-137.

  PUB | DOI | WoS | arXiv
   
• [16]
  

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

  S. Herr, “Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru)”, Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014, M. Hochbruck, et al., eds., Oberwolfach Reports, vol. 11, Zürich: European Mathematical Society, 2014, pp.818-820.

  PUB | DOI
   
• [15]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819

  S. Herr, “The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds”, American Journal of Mathematics, vol. 135, 2013, pp. 1271-1290.

  PUB | DOI | WoS | arXiv
   
• [14]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339

  M.D. Blair, et al., “Strichartz Estimates for the Schrödinger Equation on Polygonal Domains”, Journal of Geometric Analysis, vol. 22, 2012, pp. 339-351.

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337

  I. Bejenaru and S. Herr, “Convolutions of singular measures and applications to the Zakharov system”, Journal of Functional Analysis, vol. 261, 2011, pp. 478-506.

  PUB | DOI | WoS | arXiv
   
• [12]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340

  S. Herr, D. Tataru, and N. Tzvetkov, “Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(T^3)$”, Duke Mathematical Journal, vol. 159, 2011, pp. 329-349.

  PUB | DOI | WoS | arXiv
   
• [11]
  

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

  S. Herr, “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, vol. 2010, Cedram, 2010.

  PUB | DOI
   
• [10]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341

  S. Herr, et al., “A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations”, Communications in Partial Differential Equations, vol. 35, 2010, pp. 1827-1875.

  PUB | DOI | WoS | arXiv
   
• [9]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338

  I. Bejenaru, S. Herr, and D. Tataru, “A convolution estimate for two-dimensional hypersurfaces”, Revista Matemática Iberoamericana, vol. 26, 2010, pp. 707-728.

  PUB | DOI | arXiv
   
• [8]
  

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

  S. Herr, “ 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)”, Nonlinear Waves and Dispersive Equations. Report 41/2010, C.E. Kenig, H. Koch, and D. Tataru, eds., Oberwolfach Reports, vol. 7, Zürich: European Mathematical Society, 2010, pp.2400-2401.

  PUB | DOI
   
• [7]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342

  I. Bejenaru, et al., “On the 2D Zakharov system with $L^2$ Schrödinger data”, Nonlinearity, vol. 22, 2009, pp. 1063-1089.

  PUB | DOI | WoS | arXiv
   
• [6]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343

  M. Hadac, S. Herr, and H. Koch, “Well-posedness and scattering for the KP-II equation in a critical space”, Annales de l'Institut Henri Poincaré (C). Non Linear Analysis, vol. 26, 2009, pp. 917-941.

  PUB | DOI | WoS | arXiv
   
• [5]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934344

  S. Herr, “A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations”, Proceedings of the American Mathematical Society, vol. 136, 2008, pp. 2881-2886.

  PUB | DOI | Download (ext.) | WoS
   
• [4]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349

  A. Grünrock and S. Herr, “Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data”, SIAM Journal on Mathematical Analysis, vol. 39, 2008, pp. 1890-1920.

  PUB | DOI | WoS | arXiv
   
• [3]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934345

  S. Herr, “Well-posedness for equations of Benjamin-Ono type”, Illinois Journal of Mathematics, vol. 51, 2007, pp. 951-976.

  PUB | Download (ext.)
   
• [2]
  

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

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

  PUB | DOI
   
• [1]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347

  S. Herr, “On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition”, International Mathematics Research Notices, vol. 2006, 2006, : 096763.

  PUB | DOI | arXiv