PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2025 | Preprint | PUB-ID: 3002186

  Gess, B., Herr, S., and 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., and Muñoz, C. (2025). Decay of solutions of nonlinear Dirac equations.

  PUB | arXiv
   
• [56]
  

  2025 | Preprint | PUB-ID: 3000953

  Herr, S., and 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., and 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., and 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., and Zhang, D. (Submitted). The energy-critical stochastic Zakharov system.

  PUB | arXiv
   
• [52]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983170

  Herr, S., and 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., and 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., and 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., and Schippa, R. (2024). Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis 286:110292.

  PUB | DOI | WoS | arXiv
   
• [48]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554

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

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2023 | Preprint | Angenommen | PUB-ID: 2967998

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

  PUB | arXiv
   
• [46]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2982342

  Candy, T., and 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., and 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., and Kinoshita, S. (2023). Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier 73, 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 MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021, Frey, D., Guo, Z., Hassell, A., Portal, P., Rozendaal, J., and Yung, P. - L. eds. Oberwolfach Reports, vol. 18, (Berlin: European Mathematical Society - EMS - Publishing House GmbH), 2469-2470.

  PUB | DOI
   
• [42]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549

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

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485

  Candy, T., Herr, S., and 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., and Schnaubelt, R. (2020). Biharmonic wave maps into spheres. Proceedings of the American Mathematical Society 148, 787-796.

  PUB | DOI | WoS | arXiv
   
• [39]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334

  Herr, S., Lamm, T., Schmid, T., and Schnaubelt, R. (2020). Biharmonic wave maps: Local wellposedness in high regularity. Nonlinearity 33, 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 Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019., Hochbruck, M., Koch, H., Oh, S. - J., and Ostermann, A. eds. Oberwolfach Reports, vol. 16, (Zürich: European Mathematical Society), 350-352.

  PUB | DOI
   
• [37]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335

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

  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 Spectral Structures and Topological Methods in Mathematics, Baake, M., Götze, F., and Hoffmann, W. eds. EMS Series of Congress Reports (Zürich: EMS Publishing House), 159-182.

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

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350

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

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

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273

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

  PUB | DOI | WoS | arXiv
   
• [32]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920707

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

  PUB | DOI | WoS | arXiv
   
• [31]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332

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

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

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010

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

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672

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

  PUB | DOI | WoS | arXiv
   
• [28]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012

  Bejenaru, I., and Herr, S. (2017). On global well-posedness and scattering for the massive Dirac-Klein-Gordon system. Journal of the European Mathematical Society 19, 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 Nonlinear Waves and Dispersive Equations. Report 27/2017, Koch, H., Raphael, P., Visan, M., and Tataru, D. eds. Oberwolfach Reports, vol. 14, (Zürich: European Mathematical Society), 1691-1693.

  PUB | DOI
   
• [26]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132

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

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123

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

  PUB | DOI | WoS | arXiv
   
• [24]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987

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

  PUB | DOI | arXiv
   
• [23]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261

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

  PUB | DOI | WoS | arXiv
   
• [22]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705

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

  PUB | DOI | WoS | arXiv
   
• [21]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741

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

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691

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

  PUB | DOI | WoS | arXiv
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804

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

  PUB | DOI | WoS | arXiv
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896

  Herr, S., Tataru, D., and 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, 65-78.

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424

  Herr, S., and 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 Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014, Hochbruck, M., Nicaise, S., Ostermann, A., and Schnaubelt, R. eds. Oberwolfach Reports, vol. 11, (Zürich: European Mathematical Society), 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, 1271-1290.

  PUB | DOI | WoS | arXiv
   
• [14]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339

  Blair, M. D., Ford, G. A., Herr, S., and Marzuola, J. L. (2012). Strichartz Estimates for the Schrödinger Equation on Polygonal Domains. Journal of Geometric Analysis 22, 339-351.

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337

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

  PUB | DOI | WoS | arXiv
   
• [12]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340

  Herr, S., Tataru, D., and 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, 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, vol. 2010, (Cedram).

  PUB | DOI
   
• [10]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341

  Herr, S., Ionescu, A. D., Kenig, C. E., and Koch, H. (2010). A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations. Communications in Partial Differential Equations 35, 1827-1875.

  PUB | DOI | WoS | arXiv
   
• [9]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338

  Bejenaru, I., Herr, S., and Tataru, D. (2010). A convolution estimate for two-dimensional hypersurfaces. Revista Matemática Iberoamericana 26, 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 Nonlinear Waves and Dispersive Equations. Report 41/2010, Kenig, C. E., Koch, H., and Tataru, D. eds. Oberwolfach Reports, vol. 7, (Zürich: European Mathematical Society), 2400-2401.

  PUB | DOI
   
• [7]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342

  Bejenaru, I., Herr, S., Holmer, J., and Tataru, D. (2009). On the 2D Zakharov system with $L^2$ Schrödinger data. Nonlinearity 22, 1063-1089.

  PUB | DOI | WoS | arXiv
   
• [6]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343

  Hadac, M., Herr, S., and 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, 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, 2881-2886.

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

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349

  Grünrock, A., and Herr, S. (2008). Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data. SIAM Journal on Mathematical Analysis 39, 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, 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 Nonlinear Waves and Dispersive Equations. Report 44/2007, Kenig, C. E., Koch, H., and Tataru, D. eds. Oberwolfach Reports, vol. 4, (Zürich: European Mathematical Society ), 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