PUB - Publikationen an der Universität Bielefeld

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• [54]
  

  2024 | Preprint | Eingereicht | PUB-ID: 2993301

  The energy-critical stochastic Zakharov system
  Herr S, Röckner M, Spitz M, Zhang D (Submitted)
  arXiv:2410.05034.

  PUB | arXiv
   
• [53]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983170

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

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [52]
  

  2024 | Preprint | Eingereicht | PUB-ID: 2992599

  Numerical approximation of bi-harmonic wave maps into spheres
  Banas L, Herr S (Submitted) .

  PUB | arXiv
   
• [51]
  

  2024 | Preprint | PUB-ID: 2991385

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

  PUB | arXiv
   
• [50]
  

  2024 | Preprint | PUB-ID: 2990305

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

  PUB | arXiv
   
• [49]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999

  Low regularity well-posedness of KP-I equations: the three-dimensional case
  Herr S, Sanwal A, Schippa R (2024)
  Journal of Functional Analysis 286(4): 110292.

  PUB | DOI | WoS | arXiv
   
• [48]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554

  The Zakharov system in dimension $d >= 4$
  Candy T, Herr S, Nakanishi K (2023)
  Journal of the European Mathematical Society 25(8): 3177-3228.

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2023 | Preprint | Angenommen | PUB-ID: 2967998

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

  PUB | arXiv
   
• [46]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2982342

  The massless and the non-relativistic limit for the cubic Dirac equation
  Candy T, Herr S (2023) .

  PUB | arXiv
   
• [45]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456

  Local well-posedness of a system describing laser-plasma interactions
  Herr S, Kato I, Kinoshita S, Spitz M (2023)
  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

  Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher
  Herr S, Kinoshita S (2023)
  Annales de l‘Institut Fourier 73(3): 1203-1267.

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

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

  Nonlinear Dirac Equations (Extended abstract of joint work with Ioan Bejenaru and Timothy Candy)
  Herr S (2021)
  In: MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021. Frey D, Guo Z, Hassell A, Portal P, Rozendaal J, Yung P-L (Eds); Oberwolfach Reports, 18(3). Berlin: European Mathematical Society - EMS - Publishing House GmbH: 2469-2470.

  PUB | DOI
   
• [42]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549

  The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity
  Herr S, Kinoshita S (2021)
  Journal of Evolution Equations 21(2): 2105-2121.

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485

  Global wellposedness for the energy-critical Zakharov system below the ground state
  Candy T, Herr S, Nakanishi K (2021)
  Advances in Mathematics 384: 107746.

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934333

  Biharmonic wave maps into spheres
  Herr S, Lamm T, Schnaubelt R (2020)
  Proceedings of the American Mathematical Society 148(2): 787-796.

  PUB | DOI | WoS | arXiv
   
• [39]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334

  Biharmonic wave maps: Local wellposedness in high regularity
  Herr S, Lamm T, Schmid T, Schnaubelt R (2020)
  Nonlinearity 33(5): 2270-2305.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [38]
  

  2019 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934357

  Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy)
  Herr S (2019)
  In: Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019. Hochbruck M, Koch H, Oh S-J, Ostermann A (Eds); Oberwolfach Reports, 16(1). Zürich: European Mathematical Society: 350-352.

  PUB | DOI
   
• [37]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335

  Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation
  Herr S, Sohinger V (2019)
  Communications in Contemporary Mathematics 21(7): 1850058.

  PUB | DOI | WoS | arXiv
   
• [36]
  

  2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356

  Initial value problems for nonlinear dispersive equations at critical regularity
  Herr S (2019)
  In: Spectral Structures and Topological Methods in Mathematics. Baake M, Götze F, 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

  Scattering for stochastic nonlinear Schrödinger equations
  Herr S, Röckner M, Zhang D (2019)
  Communications in Mathematical Physics 368(2): 843–884.

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

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273

  Conditional large initial data scattering results for the Dirac-Klein-Gordon system
  Candy T, Herr S (2018)
  Forum of Mathematics. Sigma 6: e9.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [33]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931510

  On the Majorana condition for nonlinear Dirac systems
  Candy T, Herr S (2018)
  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

  Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System
  Candy T, Herr S (2018)
  Analysis & PDE 11(5): 1171-1240.

  PUB | DOI | WoS | arXiv
   
• [31]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332

  On the Division Problem for the Wave Maps Equation
  Candy T, Herr S (2018)
  Annals of PDE 4(2): 17.

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

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010

  Critical well-posedness and scattering results for fractional Hartree-type equations
  Herr S, Yang C (2018)
  Differential and Integral Equations 31(9-10): 701-714.

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672

  Trigonometric time integrators for the Zakharov system
  Herr S, Schratz K (2017)
  IMA Journal of Numerical Analysis 37(4): 2042-2066.

  PUB | DOI | WoS | arXiv
   
• [28]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012

  On global well-posedness and scattering for the massive Dirac-Klein-Gordon system
  Bejenaru I, Herr S (2017)
  Journal of the European Mathematical Society 19(8): 2445-2467.

  PUB | DOI | WoS | arXiv
   
• [27]
  

  2017 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934355

  On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy)
  Herr S (2017)
  In: Nonlinear Waves and Dispersive Equations. Report 27/2017. Koch H, Raphael P, Visan M, Tataru D (Eds); Oberwolfach Reports, 14(2). Zürich: European Mathematical Society: 1691-1693.

  PUB | DOI
   
• [26]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132

  The Gross-Pitaevskii Hierarchy on General Rectangular Tori
  Herr S, Sohinger V (2016)
  Archive for Rational Mechanics and Analysis 220(3): 1119-1158.

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123

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

  PUB | DOI | WoS | arXiv
   
• [24]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987

  On Discrete Rarefaction Waves in an NLS Toy Model for Weak Turbulence
  Herr S, Marzuola JL (2016)
  Indiana University Mathematics Journal 65(3): 753-777.

  PUB | DOI | arXiv
   
• [23]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261

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

  PUB | DOI | WoS | arXiv
   
• [22]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705

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

  PUB | DOI | WoS | arXiv
   
• [21]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741

  The energy-critical nonlinear Schrodinger equation on a product of spheres
  Herr S, Strunk N (2015)
  Mathematical Research Letters 22(3): 741-761.

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691

  Small data scattering for semi-relativistic equations with Hartree type nonlinearity
  Herr S, Tesfahun A (2015)
  Journal of Differential Equations 259(10): 5510-5532.

  PUB | DOI | WoS | arXiv
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804

  The Fourier restriction norm method for the Zakharov-Kuznetsov equation
  Gruenrock A, Herr S (2014)
  Discrete and Continuous Dynamical Systems - Series A 34(5): 2061-2068.

  PUB | DOI | WoS | arXiv
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896

  Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications
  Herr S, Tataru D, Tzvetkov N (2014)
  Journal für die reine und angewandte Mathematik (Crelles Journal) 2014(690): 65-78.

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424

  The Boson star equation with initial data of low regularity
  Herr S, Lenzmann E (2014)
  Nonlinear Analysis. Theory Methods & Applications 97: 125-137.

  PUB | DOI | WoS | arXiv
   
• [16]
  

  2014 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934354

  Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru)
  Herr S (2014)
  In: Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014. Hochbruck M, Nicaise S, Ostermann A, Schnaubelt R (Eds); Oberwolfach Reports, 11(1). Zürich: European Mathematical Society: 818-820.

  PUB | DOI
   
• [15]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819

  The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds
  Herr S (2013)
  American Journal of Mathematics 135(5): 1271-1290.

  PUB | DOI | WoS | arXiv
   
• [14]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339

  Strichartz Estimates for the Schrödinger Equation on Polygonal Domains
  Blair MD, Ford GA, Herr S, Marzuola JL (2012)
  Journal of Geometric Analysis 22(2): 339-351.

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337

  Convolutions of singular measures and applications to the Zakharov system
  Bejenaru I, Herr S (2011)
  Journal of Functional Analysis 261(2): 478-506.

  PUB | DOI | WoS | arXiv
   
• [12]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340

  Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(T^3)$
  Herr S, Tataru D, Tzvetkov N (2011)
  Duke Mathematical Journal 159(2): 329-349.

  PUB | DOI | WoS | arXiv
   
• [11]
  

  2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934352

  Energy critical nonlinear Schrödinger equations in the presence of periodic geodesics (Report on joint work with Daniel Tataru and Nikolay Tzvetkov)
  Herr S (2010)
  In: Proceedings of the 'Journées équations aux dérivées partielles', Port d'Albret, 7 juin–11 juin 2010., 2010. Cedram.

  PUB | DOI
   
• [10]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341

  A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations
  Herr S, Ionescu AD, Kenig CE, Koch H (2010)
  Communications in Partial Differential Equations 35(10): 1827-1875.

  PUB | DOI | WoS | arXiv
   
• [9]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338

  A convolution estimate for two-dimensional hypersurfaces
  Bejenaru I, Herr S, Tataru D (2010)
  Revista Matemática Iberoamericana 26(2): 707-728.

  PUB | DOI | arXiv
   
• [8]
  

  2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934353

  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)
  Herr S (2010)
  In: Nonlinear Waves and Dispersive Equations. Report 41/2010. Kenig CE, Koch H, Tataru D (Eds); Oberwolfach Reports, 7(3). Zürich: European Mathematical Society: 2400-2401.

  PUB | DOI
   
• [7]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342

  On the 2D Zakharov system with $L^2$ Schrödinger data
  Bejenaru I, Herr S, Holmer J, Tataru D (2009)
  Nonlinearity 22(5): 1063-1089.

  PUB | DOI | WoS | arXiv
   
• [6]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343

  Well-posedness and scattering for the KP-II equation in a critical space
  Hadac M, Herr S, Koch H (2009)
  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

  A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations
  Herr S (2008)
  Proceedings of the American Mathematical Society 136(8): 2881-2886.

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

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349

  Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
  Grünrock A, Herr S (2008)
  SIAM Journal on Mathematical Analysis 39(6): 1890-1920.

  PUB | DOI | WoS | arXiv
   
• [3]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934345

  Well-posedness for equations of Benjamin-Ono type
  Herr S (2007)
  Illinois Journal of Mathematics 51(3): 951-976.

  PUB | Download (ext.)
   
• [2]
  

  2007 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934351

  The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work with Martin Hadac and Herbert Koch)
  Herr S (2007)
  In: Nonlinear Waves and Dispersive Equations. Report 44/2007. Kenig CE, Koch H, Tataru D (Eds); Oberwolfach Reports, 4(4). Zürich: European Mathematical Society : 2623-2625.

  PUB | DOI
   
• [1]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347

  On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition
  Herr S (2006)
  International Mathematics Research Notices 2006: 096763.

  PUB | DOI | arXiv