PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2025 | Preprint | PUB-ID: 3002186

  Gess, B.; Herr, S.; Niesdroy, A. D. (2025): Existence of martingale solutions to a stochastic kinetic model of chemotaxis ArXiv: 2504.00450

  PUB | DOI | arXiv
   
• [57]
  

  2025 | Preprint | PUB-ID: 3001325

  Herr, S.; Maulén, C.; Muñoz, C. (2025): Decay of solutions of nonlinear Dirac equations

  PUB | arXiv
   
• [56]
  

  2025 | Preprint | PUB-ID: 3000953

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

  PUB | arXiv
   
• [55]
  

  2025 | Preprint | PUB-ID: 3000992

  Herr, S.; Kwak, B. (2025): Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$

  PUB | arXiv
   
• [54]
  

  2024 | Preprint | Angenommen | PUB-ID: 2992599

  Banas, L.; Herr, S. (Accepted): Numerical approximation of bi-harmonic wave maps into spheres SIAM J. Numer. Anal.

  PUB | arXiv
   
• [53]
  

  2024 | Preprint | Eingereicht | PUB-ID: 2993301

  Herr, S.; Röckner, M.; Spitz, M.; Zhang, D. (Submitted): The energy-critical stochastic Zakharov system

  PUB | arXiv
   
• [52]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983170

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

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

  2024 | Preprint | PUB-ID: 2991385

  Herr, S.; Schippa, R.; Tzvetkov, N. (2024): The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$

  PUB | arXiv
   
• [50]
  

  2024 | Preprint | PUB-ID: 2990305

  Herr, S.; Ifrim, M.; Spitz, M. (2024): Modified scattering for the three dimensional Maxwell-Dirac system

  PUB | arXiv
   
• [49]
  

  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

  PUB | DOI | WoS | arXiv
   
• [48]
  

  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.

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2023 | Preprint | Angenommen | PUB-ID: 2967998

  Herr, S.; Röckner, M.; Spitz, M.; Zhang, D. (Accepted): The three dimensional stochastic Zakharov system The Annals of Probability

  PUB | arXiv
   
• [46]
  

  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
   
• [45]
  

  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.

  PUB | PDF | DOI | Download (ext.) | 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.

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

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

  Herr, S. (2021): Nonlinear Dirac Equations (Extended abstract of joint work with Ioan Bejenaru and Timothy Candy). In: Dorothee Frey; Zihua Guo; Andrew Hassell; Pierre Portal; Jan Rozendaal; Po-Lam Yung (Hrsg.): MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021. Berlin: European Mathematical Society - EMS - Publishing House GmbH. (Oberwolfach Reports, 18). S. 2469-2470.

  PUB | DOI
   
• [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.

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

  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.

  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.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [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: Marlis Hochbruck; Herbert Koch; Sung-Jin Oh; Alexander Ostermann (Hrsg.): Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019.. Zürich: European Mathematical Society. (Oberwolfach Reports, 16). S. 350-352.

  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

  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: Michael Baake; Friedrich Götze; Werner Hoffmann (Hrsg.): Spectral Structures and Topological Methods in Mathematics. Zürich: EMS Publishing House. (EMS Series of Congress Reports, ). S. 159-182.

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

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

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

  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.

  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

  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.

  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.

  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: Herbert Koch; Pierre Raphael; Monica Visan; Daniel Tataru (Hrsg.): Nonlinear Waves and Dispersive Equations. Report 27/2017. Zürich: European Mathematical Society. (Oberwolfach Reports, 14). S. 1691-1693.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  PUB | DOI | WoS | arXiv
   
• [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.

  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: Marlis Hochbruck; Serge Nicaise; Alexander Ostermann; Roland Schnaubelt (Hrsg.): Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014. Zürich: European Mathematical Society. (Oberwolfach Reports, 11). S. 818-820.

  PUB | DOI
   
• [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.

  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.

  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.

  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.

  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). In: Proceedings of the 'Journées équations aux dérivées partielles', Port d'Albret, 7 juin–11 juin 2010. Cedram. (2010).

  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.

  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.

  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: Carlos E. Kenig; Herbert Koch; Daniel Tataru (Hrsg.): Nonlinear Waves and Dispersive Equations. Report 41/2010. Zürich: European Mathematical Society. (Oberwolfach Reports, 7). S. 2400-2401.

  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.

  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.

  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.

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

  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.

  PUB | Download (ext.)
   
• [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: Carlos E. Kenig; Herbert Koch; Daniel Tataru (Hrsg.): Nonlinear Waves and Dispersive Equations. Report 44/2007. Zürich: European Mathematical Society . (Oberwolfach Reports, 4). S. 2623-2625.

  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

  PUB | DOI | arXiv