Sebastian Herr

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

PEVZ-ID
27815103

50 Publikationen

Alle markieren

  • [50]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999
    Herr, S., Sanwal, A., Schippa, R.: Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis. 286, : 110292 (2024).
    PUB | DOI | WoS | arXiv
     
  • [49]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2983170
    Herr, S., Kwak, B.: Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$. (2023).
    PUB | arXiv
     
  • [48]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2982342
    Candy, T., Herr, S.: The massless and the non-relativistic limit for the cubic Dirac equation. (2023).
    PUB | arXiv
     
  • [47]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456 OA
    Herr, S., Kato, I., Kinoshita, S., Spitz, M.: 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 (2023).
    PUB | PDF | DOI | Download (ext.) | WoS | arXiv
     
  • [46]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2967998
    Herr, S., Röckner, M., Spitz, M., Zhang, D.: The three dimensional stochastic Zakharov system. (2023).
    PUB | arXiv
     
  • [45]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554
    Candy, T., Herr, S., Nakanishi, K.: The Zakharov system in dimension $d>= 4$. Journal of the European Mathematical Society. 25, 3177-3228 (2023).
    PUB | DOI | WoS | arXiv
     
  • [44]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940435
    Herr, S., Kinoshita, S.: Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier. 73, 1203-1267 (2023).
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [43]
    2021 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2977912
    Herr, S., Bejenaru, I., Candy, T.: Nonlinear Dirac Equations. In: Frey, D., Guo, Z., Hassell, A., Portal, P., Rozendaal, J., and Yung, P.-L. (eds.) MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021. Oberwolfach Reports. 18, p. 2469-2470. European Mathematical Society - EMS - Publishing House GmbH, Berlin (2021).
    PUB
     
  • [42]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549 OA
    Herr, S., Kinoshita, S.: The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity. Journal of Evolution Equations. 21, 2105-2121 (2021).
    PUB | PDF | DOI | Download (ext.) | WoS | arXiv
     
  • [41]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485
    Candy, T., Herr, S., Nakanishi, K.: Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics. 384, : 107746 (2021).
    PUB | DOI | WoS | arXiv
     
  • [40]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934333
    Herr, S., Lamm, T., Schnaubelt, R.: Biharmonic wave maps into spheres. Proceedings of the American Mathematical Society. 148, 787-796 (2020).
    PUB | DOI | WoS | arXiv
     
  • [39]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334 OA
    Herr, S., Lamm, T., Schmid, T., Schnaubelt, R.: Biharmonic wave maps: Local wellposedness in high regularity. Nonlinearity. 33, 2270-2305 (2020).
    PUB | PDF | DOI | Download (ext.) | WoS
     
  • [38]
    2019 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934357
    Herr, S.: Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy). In: Hochbruck, M., Koch, H., Oh, S.-J., and Ostermann, A. (eds.) Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019. Oberwolfach Reports. 16, p. 350-352. European Mathematical Society, Zürich (2019).
    PUB | DOI
     
  • [37]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335
    Herr, S., Sohinger, V.: Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation. Communications in Contemporary Mathematics. 21, : 1850058 (2019).
    PUB | DOI | WoS | arXiv
     
  • [36]
    2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356
    Herr, S.: Initial value problems for nonlinear dispersive equations at critical regularity. In: Baake, M., Götze, F., and Hoffmann, W. (eds.) Spectral Structures and Topological Methods in Mathematics. EMS Series of Congress Reports. p. 159-182. EMS Publishing House, Zürich (2019).
    PUB | DOI | Download (ext.)
     
  • [35]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, S., Röckner, M., Zhang, D.: Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics. 368, 843–884 (2019).
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [34]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273
    Candy, T., Herr, S.: Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma. 6, : e9 (2018).
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [33]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931510
    Candy, T., Herr, S.: On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri Poincaré (C). Non Linear Analysis. 35, 1707-1717 (2018).
    PUB | DOI | WoS | arXiv
     
  • [32]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920707
    Candy, T., Herr, S.: Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System. Analysis & PDE. 11, 1171-1240 (2018).
    PUB | DOI | WoS | arXiv
     
  • [31]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332
    Candy, T., Herr, S.: On the Division Problem for the Wave Maps Equation. Annals of PDE. 4, : 17 (2018).
    PUB | DOI | Download (ext.) | arXiv
     
  • [30]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010
    Herr, S., Yang, C.: Critical well-posedness and scattering results for fractional Hartree-type equations. Differential and Integral Equations. 31, 701-714 (2018).
    PUB | Download (ext.) | arXiv
     
  • [29]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672
    Herr, S., Schratz, K.: Trigonometric time integrators for the Zakharov system. IMA Journal of Numerical Analysis. 37, 2042-2066 (2017).
    PUB | DOI | WoS | arXiv
     
  • [28]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012
    Bejenaru, I., Herr, S.: On global well-posedness and scattering for the massive Dirac-Klein-Gordon system. Journal of the European Mathematical Society. 19, 2445-2467 (2017).
    PUB | DOI | WoS | arXiv
     
  • [27]
    2017 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934355
    Herr, S.: On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy). In: Koch, H., Raphael, P., Visan, M., and Tataru, D. (eds.) Nonlinear Waves and Dispersive Equations. Report 27/2017. Oberwolfach Reports. 14, p. 1691-1693. European Mathematical Society, Zürich (2017).
    PUB | DOI
     
  • [26]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132
    Herr, S., Sohinger, V.: The Gross-Pitaevskii Hierarchy on General Rectangular Tori. Archive for Rational Mechanics and Analysis. 220, 1119-1158 (2016).
    PUB | DOI | WoS | arXiv
     
  • [25]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123
    Bejenaru, I., Herr, S.: The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics. 343, 515-562 (2016).
    PUB | DOI | WoS | arXiv
     
  • [24]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987
    Herr, S., Marzuola, J.L.: On Discrete Rarefaction Waves in an NLS Toy Model for Weak Turbulence. Indiana University Mathematics Journal. 65, 753-777 (2016).
    PUB | DOI | arXiv
     
  • [23]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261
    Bejenaru, I., Herr, S.: The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics. 335, 43-82 (2015).
    PUB | DOI | WoS | arXiv
     
  • [22]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705
    Bejenaru, I., Guo, Z., Herr, S., Nakanishi, K.: Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE. 8, 2029-2055 (2015).
    PUB | DOI | WoS | arXiv
     
  • [21]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741
    Herr, S., Strunk, N.: The energy-critical nonlinear Schrodinger equation on a product of spheres. Mathematical Research Letters. 22, 741-761 (2015).
    PUB | DOI | WoS | arXiv
     
  • [20]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691
    Herr, S., Tesfahun, A.: Small data scattering for semi-relativistic equations with Hartree type nonlinearity. Journal of Differential Equations. 259, 5510-5532 (2015).
    PUB | DOI | WoS | arXiv
     
  • [19]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804
    Gruenrock, A., Herr, S.: The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A. 34, 2061-2068 (2014).
    PUB | DOI | WoS | arXiv
     
  • [18]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896
    Herr, S., Tataru, D., Tzvetkov, N.: 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 (2014).
    PUB | DOI | WoS | arXiv
     
  • [17]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424
    Herr, S., Lenzmann, E.: The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications. 97, 125-137 (2014).
    PUB | DOI | WoS | arXiv
     
  • [16]
    2014 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934354
    Herr, S.: Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru). In: Hochbruck, M., Nicaise, S., Ostermann, A., and Schnaubelt, R. (eds.) Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014. Oberwolfach Reports. 11, p. 818-820. European Mathematical Society, Zürich (2014).
    PUB | DOI
     
  • [15]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819
    Herr, S.: The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds. American Journal of Mathematics. 135, 1271-1290 (2013).
    PUB | DOI | WoS | arXiv
     
  • [14]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339
    Blair, M.D., Ford, G.A., Herr, S., Marzuola, J.L.: Strichartz Estimates for the Schrödinger Equation on Polygonal Domains. Journal of Geometric Analysis. 22, 339-351 (2012).
    PUB | DOI | WoS | arXiv
     
  • [13]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337
    Bejenaru, I., Herr, S.: Convolutions of singular measures and applications to the Zakharov system. Journal of Functional Analysis. 261, 478-506 (2011).
    PUB | DOI | WoS | arXiv
     
  • [12]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340
    Herr, S., Tataru, D., Tzvetkov, N.: 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 (2011).
    PUB | DOI | WoS | arXiv
     
  • [11]
    2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934352
    Herr, S.: 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 (2010).
    PUB | DOI
     
  • [10]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341
    Herr, S., Ionescu, A.D., Kenig, C.E., Koch, H.: A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations. Communications in Partial Differential Equations. 35, 1827-1875 (2010).
    PUB | DOI | WoS | arXiv
     
  • [9]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338
    Bejenaru, I., Herr, S., Tataru, D.: A convolution estimate for two-dimensional hypersurfaces. Revista Matemática Iberoamericana. 26, 707-728 (2010).
    PUB | DOI | arXiv
     
  • [8]
    2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934353
    Herr, S.: 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: Kenig, C.E., Koch, H., and Tataru, D. (eds.) Nonlinear Waves and Dispersive Equations. Report 41/2010. Oberwolfach Reports. 7, p. 2400-2401. European Mathematical Society, Zürich (2010).
    PUB | DOI
     
  • [7]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342
    Bejenaru, I., Herr, S., Holmer, J., Tataru, D.: On the 2D Zakharov system with $L^2$ Schrödinger data. Nonlinearity. 22, 1063-1089 (2009).
    PUB | DOI | WoS | arXiv
     
  • [6]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343
    Hadac, M., Herr, S., Koch, H.: 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 (2009).
    PUB | DOI | WoS | arXiv
     
  • [5]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934344
    Herr, S.: A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations. Proceedings of the American Mathematical Society. 136, 2881-2886 (2008).
    PUB | DOI | Download (ext.) | WoS
     
  • [4]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349
    Grünrock, A., Herr, S.: Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data. SIAM Journal on Mathematical Analysis. 39, 1890-1920 (2008).
    PUB | DOI | WoS | arXiv
     
  • [3]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934345
    Herr, S.: Well-posedness for equations of Benjamin-Ono type. Illinois Journal of Mathematics. 51, 951-976 (2007).
    PUB | Download (ext.)
     
  • [2]
    2007 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934351
    Herr, S.: The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work with Martin Hadac and Herbert Koch). In: Kenig, C.E., Koch, H., and Tataru, D. (eds.) Nonlinear Waves and Dispersive Equations. Report 44/2007. Oberwolfach Reports. 4, p. 2623-2625. European Mathematical Society , Zürich (2007).
    PUB | DOI
     
  • [1]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347
    Herr, S.: On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition. International Mathematics Research Notices. 2006, : 096763 (2006).
    PUB | DOI | arXiv
     
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