50 Publikationen

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  • [50]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999
    Herr, Sebastian, Sanwal, Akansha, and Schippa, Robert. 2024. “Low regularity well-posedness of KP-I equations: the three-dimensional case”. Journal of Functional Analysis 286 (4): 110292.
    PUB | DOI | WoS | arXiv
     
  • [49]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456 OA
    Herr, Sebastian, Kato, Isao, Kinoshita, Shinya, and Spitz, Martin. 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
     
  • [48]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2983170
    Herr, Sebastian, and Kwak, Beomjong. 2023. “Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$”. ArXiv: 2309.14275.
    PUB | arXiv
     
  • [47]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2982342
    Candy, Timothy, and Herr, Sebastian. 2023. “The massless and the non-relativistic limit for the cubic Dirac equation”.
    PUB | arXiv
     
  • [46]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2967998
    Herr, Sebastian, Röckner, Michael, Spitz, Martin, and Zhang, Deng. 2023. “The three dimensional stochastic Zakharov system”.
    PUB | arXiv
     
  • [45]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554
    Candy, Timothy, Herr, Sebastian, and Nakanishi, Kenji. 2023. “The Zakharov system in dimension $d>= 4$”. Journal of the European Mathematical Society 25 (8): 3177-3228.
    PUB | DOI | WoS | arXiv
     
  • [44]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940435
    Herr, Sebastian, and Kinoshita, Shinya. 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, Sebastian, Bejenaru, Ioan, and Candy, Timothy. 2021. “Nonlinear Dirac Equations”. In MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021, ed. Dorothee Frey, Zihua Guo, Andrew Hassell, Pierre Portal, Jan Rozendaal, and Po-Lam Yung, 18:2469-2470. Oberwolfach Reports. Berlin: European Mathematical Society - EMS - Publishing House GmbH.
    PUB
     
  • [42]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549 OA
    Herr, Sebastian, and Kinoshita, Shinya. 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, Timothy, Herr, Sebastian, and Nakanishi, Kenji. 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, Sebastian, Lamm, Tobias, and Schnaubelt, Roland. 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 OA
    Herr, Sebastian, Lamm, Tobias, Schmid, Tobias, and Schnaubelt, Roland. 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, Sebastian. 2019. “Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy)”. In Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019., ed. Marlis Hochbruck, Herbert Koch, Sung-Jin Oh, and Alexander Ostermann, 16:350-352. Oberwolfach Reports. Zürich: European Mathematical Society.
    PUB | DOI
     
  • [37]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335
    Herr, Sebastian, and Sohinger, Vedran. 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, Sebastian. 2019. “Initial value problems for nonlinear dispersive equations at critical regularity”. In Spectral Structures and Topological Methods in Mathematics, ed. Michael Baake, Friedrich Götze, and Werner Hoffmann, 159-182. EMS Series of Congress Reports. Zürich: EMS Publishing House.
    PUB | DOI | Download (ext.)
     
  • [35]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, Sebastian, Röckner, Michael, and Zhang, Deng. 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, Timothy, and Herr, Sebastian. 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, Timothy, and Herr, Sebastian. 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, Timothy, and Herr, Sebastian. 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, Timothy, and Herr, Sebastian. 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, Sebastian, and Yang, Changhun. 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, Sebastian, and Schratz, Katharina. 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, Ioan, and Herr, Sebastian. 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, Sebastian. 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, ed. Herbert Koch, Pierre Raphael, Monica Visan, and Daniel Tataru, 14:1691-1693. Oberwolfach Reports. Zürich: European Mathematical Society.
    PUB | DOI
     
  • [26]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132
    Herr, Sebastian, and Sohinger, Vedran. 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, Ioan, and Herr, Sebastian. 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, Sebastian, and Marzuola, Jeremy Louis. 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, Ioan, and Herr, Sebastian. 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, Ioan, Guo, Zihua, Herr, Sebastian, and Nakanishi, Kenji. 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, Sebastian, and Strunk, Nils. 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, Sebastian, and Tesfahun, Achenef. 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, Axel, and Herr, Sebastian. 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, Sebastian, Tataru, Daniel, and Tzvetkov, Nikolay. 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, Sebastian, and Lenzmann, Enno. 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, Sebastian. 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, ed. Marlis Hochbruck, Serge Nicaise, Alexander Ostermann, and Roland Schnaubelt, 11:818-820. Oberwolfach Reports. Zürich: European Mathematical Society.
    PUB | DOI
     
  • [15]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819
    Herr, Sebastian. 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, Matthew D., Ford, G. Austin, Herr, Sebastian, and Marzuola, Jeremy 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, Ioan, and Herr, Sebastian. 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, Sebastian, Tataru, Daniel, and Tzvetkov, Nikolay. 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, Sebastian. 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: 10.
    PUB | DOI
     
  • [10]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341
    Herr, Sebastian, Ionescu, Alexandru D., Kenig, Carlos E., and Koch, Herbert. 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, Ioan, Herr, Sebastian, and Tataru, Daniel. 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, Sebastian. 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, ed. Carlos E. Kenig, Herbert Koch, and Daniel Tataru, 7:2400-2401. Oberwolfach Reports. Zürich: European Mathematical Society.
    PUB | DOI
     
  • [7]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342
    Bejenaru, Ioan, Herr, Sebastian, Holmer, Justin, and Tataru, Daniel. 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, Martin, Herr, Sebastian, and Koch, Herbert. 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, Sebastian. 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, Axel, and Herr, Sebastian. 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, Sebastian. 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, Sebastian. 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, ed. Carlos E. Kenig, Herbert Koch, and Daniel Tataru, 4:2623-2625. Oberwolfach Reports. Zürich: European Mathematical Society .
    PUB | DOI
     
  • [1]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347
    Herr, Sebastian. 2006. “On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition”. International Mathematics Research Notices 2006: 096763.
    PUB | DOI | arXiv
     

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