Sebastian Herr

herr@math.uni-bielefeld.de
ORCID logo https://orcid.org/0000-0001-9735-5622

PEVZ-ID
27815103

58 Publikationen

Alle markieren

  • [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, M. Röckner, M. Spitz, and D. Zhang, “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, 2024, 12, : 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, 2024, 286, : 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, 2023, 25, 3177-3228.
    PUB | DOI | WoS | arXiv
     
  • [47]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    S. Herr, M. Röckner, M. Spitz, and D. Zhang, “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 OA
    S. Herr, I. Kato, S. Kinoshita, and M. Spitz, “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., 2023, 51, 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, 2023, 73, 1203-1267.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [43]
    2021 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2977912
    S. Herr, in MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021 (Eds.: D. Frey, Z. Guo, A. Hassell, P. Portal, J. Rozendaal, P.-L. Yung), European Mathematical Society - Ems - Publishing House Gmbh, Berlin, 2021, p. 2469-2470.
    PUB | DOI
     
  • [42]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549 OA
    S. Herr, and S. Kinoshita, “The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity”, Journal of Evolution Equations, 2021, 21, 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, 2021, 384, : 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, 2020, 148, 787-796.
    PUB | DOI | WoS | arXiv
     
  • [39]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334 OA
    S. Herr, T. Lamm, T. Schmid, and R. Schnaubelt, “Biharmonic wave maps: Local wellposedness in high regularity”, Nonlinearity, 2020, 33, 2270-2305.
    PUB | PDF | DOI | Download (ext.) | WoS
     
  • [38]
    2019 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934357
    S. Herr, in Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019. (Eds.: M. Hochbruck, H. Koch, S.-J. Oh, A. Ostermann), European Mathematical Society, Zürich, 2019, p. 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, 2019, 21, : 1850058.
    PUB | DOI | WoS | arXiv
     
  • [36]
    2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356
    S. Herr, in Spectral Structures and Topological Methods in Mathematics (Eds.: M. Baake, F. Götze, W. Hoffmann), Ems Publishing House, Zürich, 2019, p. 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, 2019, 368, 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, 2018, 6, : 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, 2018, 35, 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, 2018, 11, 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, 2018, 4, : 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, 2018, 31, 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, 2017, 37, 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, 2017, 19, 2445-2467.
    PUB | DOI | WoS | arXiv
     
  • [27]
    2017 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934355
    S. Herr, in Nonlinear Waves and Dispersive Equations. Report 27/2017 (Eds.: H. Koch, P. Raphael, M. Visan, D. Tataru), European Mathematical Society, Zürich, 2017, p. 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, 2016, 220, 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, 2016, 343, 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, 2016, 65, 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, 2015, 335, 43-82.
    PUB | DOI | WoS | arXiv
     
  • [22]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705
    I. Bejenaru, Z. Guo, S. Herr, and K. Nakanishi, “Well-posedness and scattering for the Zakharov system in four dimensions”, Analysis & PDE, 2015, 8, 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, 2015, 22, 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, 2015, 259, 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, 2014, 34, 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), 2014, 2014, 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, 2014, 97, 125-137.
    PUB | DOI | WoS | arXiv
     
  • [16]
    2014 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934354
    S. Herr, in Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014 (Eds.: M. Hochbruck, S. Nicaise, A. Ostermann, R. Schnaubelt), European Mathematical Society, Zürich, 2014, p. 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, 2013, 135, 1271-1290.
    PUB | DOI | WoS | arXiv
     
  • [14]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339
    M. D. Blair, G. A. Ford, S. Herr, and J. L. Marzuola, “Strichartz Estimates for the Schrödinger Equation on Polygonal Domains”, Journal of Geometric Analysis, 2012, 22, 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, 2011, 261, 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, 2011, 159, 329-349.
    PUB | DOI | WoS | arXiv
     
  • [11]
    2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934352
    S. Herr, 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
    S. Herr, A. D. Ionescu, C. E. Kenig, and H. Koch, “A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations”, Communications in Partial Differential Equations, 2010, 35, 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, 2010, 26, 707-728.
    PUB | DOI | arXiv
     
  • [8]
    2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934353
    S. Herr, in Nonlinear Waves and Dispersive Equations. Report 41/2010 (Eds.: C.E. Kenig, H. Koch, D. Tataru), European Mathematical Society, Zürich, 2010, p. 2400-2401.
    PUB | DOI
     
  • [7]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342
    I. Bejenaru, S. Herr, J. Holmer, and D. Tataru, “On the 2D Zakharov system with $L^2$ Schrödinger data”, Nonlinearity, 2009, 22, 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, 2009, 26, 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, 2008, 136, 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, 2008, 39, 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, 2007, 51, 951-976.
    PUB | Download (ext.)
     
  • [2]
    2007 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934351
    S. Herr, in Nonlinear Waves and Dispersive Equations. Report 44/2007 (Eds.: C.E. Kenig, H. Koch, D. Tataru), European Mathematical Society , Zürich, 2007, p. 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, 2006, 2006, : 096763.
    PUB | DOI | arXiv
     
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