58 Publikationen
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2025 | Preprint | PUB-ID: 3002186Existence of martingale solutions to a stochastic kinetic model of chemotaxisPUB | DOI | arXiv
Gess, Benjamin, Existence of martingale solutions to a stochastic kinetic model of chemotaxis. ArXiv: 2504.00450 (). , 2025 -
2025 | Preprint | PUB-ID: 3001325Decay of solutions of nonlinear Dirac equationsPUB | arXiv
Herr, Sebastian, Decay of solutions of nonlinear Dirac equations. (). , 2025 -
2025 | Preprint | PUB-ID: 3000953Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equationsPUB | arXiv
Herr, Sebastian, Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations. (). , 2025 -
2025 | Preprint | PUB-ID: 3000992Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$PUB | arXiv
Herr, Sebastian, Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$. (). , 2025 -
2024 | Preprint | Angenommen | PUB-ID: 2992599Numerical approximation of bi-harmonic wave maps into spheresPUB | arXiv
Banas, Lubomir, Numerical approximation of bi-harmonic wave maps into spheres. SIAM J. Numer. Anal. (). , 2024 -
2024 | Preprint | Eingereicht | PUB-ID: 2993301The energy-critical stochastic Zakharov systemPUB | arXiv
Herr, Sebastian, The energy-critical stochastic Zakharov system. (). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983170Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$PUB | DOI | Download (ext.) | WoS | arXiv
Herr, Sebastian, Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$. Forum of Mathematics, Pi 12 (). , 2024 -
2024 | Preprint | PUB-ID: 2991385The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$PUB | arXiv
Herr, Sebastian, The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$. (). , 2024 -
2024 | Preprint | PUB-ID: 2990305Modified scattering for the three dimensional Maxwell-Dirac systemPUB | arXiv
Herr, Sebastian, Modified scattering for the three dimensional Maxwell-Dirac system. (). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967999Low regularity well-posedness of KP-I equations: the three-dimensional casePUB | DOI | WoS | arXiv
Herr, Sebastian, Low regularity well-posedness of KP-I equations: the three-dimensional case. Journal of Functional Analysis 286 (4). , 2024 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939554The Zakharov system in dimension $d >= 4$PUB | DOI | WoS | arXiv
Candy, Timothy, The Zakharov system in dimension $d >= 4$. Journal of the European Mathematical Society 25 (8). , 2023 -
2023 | Preprint | Angenommen | PUB-ID: 2967998The three dimensional stochastic Zakharov systemPUB | arXiv
Herr, Sebastian, The three dimensional stochastic Zakharov system. The Annals of Probability (). , 2023 -
2023 | Preprint | Veröffentlicht | PUB-ID: 2982342The massless and the non-relativistic limit for the cubic Dirac equationPUB | arXiv
Candy, Timothy, The massless and the non-relativistic limit for the cubic Dirac equation. (). , 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954456
Local well-posedness of a system describing laser-plasma interactionsPUB | PDF | DOI | Download (ext.) | WoS | arXiv
Herr, Sebastian, 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 (). , 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940435Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higherPUB | DOI | Download (ext.) | WoS | arXiv
Herr, Sebastian, Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier 73 (3). , 2023 -
2021 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2977912Nonlinear Dirac Equations (Extended abstract of joint work with Ioan Bejenaru and Timothy Candy)PUB | DOI
Herr, Sebastian, Nonlinear Dirac Equations (Extended abstract of joint work with Ioan Bejenaru and Timothy Candy). MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations: report 45/2021 18 (3). Berlin, 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945549
The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularityPUB | PDF | DOI | Download (ext.) | WoS | arXiv
Herr, Sebastian, The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity. Journal of Evolution Equations 21 (2). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943485Global wellposedness for the energy-critical Zakharov system below the ground statePUB | DOI | WoS | arXiv
Candy, Timothy, Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics 384 (). , 2021 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934333Biharmonic wave maps into spheresPUB | DOI | WoS | arXiv
Herr, Sebastian, Biharmonic wave maps into spheres. Proceedings of the American Mathematical Society 148 (2). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934334
Biharmonic wave maps: Local wellposedness in high regularityPUB | PDF | DOI | Download (ext.) | WoS
Herr, Sebastian, Biharmonic wave maps: Local wellposedness in high regularity. Nonlinearity 33 (5). , 2020 -
2019 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934357Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy)PUB | DOI
Herr, Sebastian, Wave Maps and Bilinear Restriction (Extended abstract of joint work with Timothy Candy). Nonlinear Evolution Equations: Analysis and Numerics. Report 5/2019. 16 (1). Zürich, 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934335Unconditional Uniqueness Results for the Nonlinear Schrödinger EquationPUB | DOI | WoS | arXiv
Herr, Sebastian, Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation. Communications in Contemporary Mathematics 21 (7). , 2019 -
2019 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2934356Initial value problems for nonlinear dispersive equations at critical regularityPUB | DOI | Download (ext.)
Herr, Sebastian, Initial value problems for nonlinear dispersive equations at critical regularity. Spectral Structures and Topological Methods in Mathematics (). Zürich, 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350Scattering for stochastic nonlinear Schrödinger equationsPUB | DOI | Download (ext.) | WoS | arXiv
Herr, Sebastian, Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics 368 (2). , 2019 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930273Conditional large initial data scattering results for the Dirac-Klein-Gordon systemPUB | DOI | Download (ext.) | WoS | arXiv
Candy, Timothy, Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics. Sigma 6 (). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931510On the Majorana condition for nonlinear Dirac systemsPUB | DOI | WoS | arXiv
Candy, Timothy, On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri Poincaré (C). Non Linear Analysis 35 (6). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920707Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon SystemPUB | DOI | WoS | arXiv
Candy, Timothy, Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System. Analysis & PDE 11 (5). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934332On the Division Problem for the Wave Maps EquationPUB | DOI | Download (ext.) | arXiv
Candy, Timothy, On the Division Problem for the Wave Maps Equation. Annals of PDE 4 (2). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932010Critical well-posedness and scattering results for fractional Hartree-type equationsPUB | Download (ext.) | arXiv
Herr, Sebastian, Critical well-posedness and scattering results for fractional Hartree-type equations. Differential and Integral Equations 31 (9-10). , 2018 -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914672Trigonometric time integrators for the Zakharov systemPUB | DOI | WoS | arXiv
Herr, Sebastian, Trigonometric time integrators for the Zakharov system. IMA Journal of Numerical Analysis 37 (4). , 2017 -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914012On global well-posedness and scattering for the massive Dirac-Klein-Gordon systemPUB | DOI | WoS | arXiv
Bejenaru, Ioan, On global well-posedness and scattering for the massive Dirac-Klein-Gordon system. Journal of the European Mathematical Society 19 (8). , 2017 -
2017 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934355On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy)PUB | DOI
Herr, Sebastian, On the Dirac–Klein–Gordon system (Extended abstract of joint work with Ioan Bejenaru and joint work with Timothy Candy). Nonlinear Waves and Dispersive Equations. Report 27/2017 14 (2). Zürich, 2017 -
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917132The Gross-Pitaevskii Hierarchy on General Rectangular ToriPUB | DOI | WoS | arXiv
Herr, Sebastian, The Gross-Pitaevskii Hierarchy on General Rectangular Tori. Archive for Rational Mechanics and Analysis 220 (3). , 2016 -
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904123The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$PUB | DOI | WoS | arXiv
Bejenaru, Ioan, The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics 343 (2). , 2016 -
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905987On Discrete Rarefaction Waves in an NLS Toy Model for Weak TurbulencePUB | DOI | arXiv
Herr, Sebastian, On Discrete Rarefaction Waves in an NLS Toy Model for Weak Turbulence. Indiana University Mathematics Journal 65 (3). , 2016 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2728261The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$PUB | DOI | WoS | arXiv
Bejenaru, Ioan, The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics 335 (1). , 2015 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904705Well-posedness and scattering for the Zakharov system in four dimensionsPUB | DOI | WoS | arXiv
Bejenaru, Ioan, Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE 8 (8). , 2015 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758741The energy-critical nonlinear Schrodinger equation on a product of spheresPUB | DOI | WoS | arXiv
Herr, Sebastian, The energy-critical nonlinear Schrodinger equation on a product of spheres. Mathematical Research Letters 22 (3). , 2015 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2777691Small data scattering for semi-relativistic equations with Hartree type nonlinearityPUB | DOI | WoS | arXiv
Herr, Sebastian, Small data scattering for semi-relativistic equations with Hartree type nonlinearity. Journal of Differential Equations 259 (10). , 2015 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2641804The Fourier restriction norm method for the Zakharov-Kuznetsov equationPUB | DOI | WoS | arXiv
Gruenrock, Axel, The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A 34 (5). , 2014 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685896Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applicationsPUB | DOI | WoS | arXiv
Herr, Sebastian, Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications. Journal für die reine und angewandte Mathematik (Crelles Journal) 2014 (690). , 2014 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653424The Boson star equation with initial data of low regularityPUB | DOI | WoS | arXiv
Herr, Sebastian, The Boson star equation with initial data of low regularity. Nonlinear Analysis. Theory Methods & Applications 97 (). , 2014 -
2014 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934354Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru)PUB | DOI
Herr, Sebastian, Endpoint Strichartz estimates and the cubic Dirac equation (Extended abstract of joint work with Ioan Bejenaru). Nonlinear Evolution Equations: Analysis and Numerics. Report 14/2014 11 (1). Zürich, 2014 -
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635819The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifoldsPUB | DOI | WoS | arXiv
Herr, Sebastian, The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds. American Journal of Mathematics 135 (5). , 2013 -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934339Strichartz Estimates for the Schrödinger Equation on Polygonal DomainsPUB | DOI | WoS | arXiv
Blair, Matthew D., Strichartz Estimates for the Schrödinger Equation on Polygonal Domains. Journal of Geometric Analysis 22 (2). , 2012 -
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934337Convolutions of singular measures and applications to the Zakharov systemPUB | DOI | WoS | arXiv
Bejenaru, Ioan, Convolutions of singular measures and applications to the Zakharov system. Journal of Functional Analysis 261 (2). , 2011 -
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934340Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(T^3)$PUB | DOI | WoS | arXiv
Herr, Sebastian, Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(T^3)$. Duke Mathematical Journal 159 (2). , 2011 -
2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934352Energy critical nonlinear Schrödinger equations in the presence of periodic geodesics (Report on joint work with Daniel Tataru and Nikolay Tzvetkov)PUB | DOI
Herr, Sebastian, 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 (). , 2010 -
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934341A Para-Differential Renormalization Technique for Nonlinear Dispersive EquationsPUB | DOI | WoS | arXiv
Herr, Sebastian, A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations. Communications in Partial Differential Equations 35 (10). , 2010 -
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934338A convolution estimate for two-dimensional hypersurfacesPUB | DOI | arXiv
Bejenaru, Ioan, A convolution estimate for two-dimensional hypersurfaces. Revista Matemática Iberoamericana 26 (2). , 2010 -
2010 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934353On energy critical nonlinear Schrödinger equations with (partially) periodic initial data in $H^1$ (Extended abstract of joint work with Daniel Tataru and Nikolay Tzvetkov)PUB | DOI
Herr, Sebastian, 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). Nonlinear Waves and Dispersive Equations. Report 41/2010 7 (3). Zürich, 2010 -
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934342On the 2D Zakharov system with $L^2$ Schrödinger dataPUB | DOI | WoS | arXiv
Bejenaru, Ioan, On the 2D Zakharov system with $L^2$ Schrödinger data. Nonlinearity 22 (5). , 2009 -
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934343Well-posedness and scattering for the KP-II equation in a critical spacePUB | DOI | WoS | arXiv
Hadac, Martin, 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). , 2009 -
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934344A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equationsPUB | DOI | Download (ext.) | WoS
Herr, Sebastian, A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations. Proceedings of the American Mathematical Society 136 (8). , 2008 -
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934349Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial DataPUB | DOI | WoS | arXiv
Grünrock, Axel, Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data. SIAM Journal on Mathematical Analysis 39 (6). , 2008 -
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934345Well-posedness for equations of Benjamin-Ono typePUB | Download (ext.)
Herr, Sebastian, Well-posedness for equations of Benjamin-Ono type. Illinois Journal of Mathematics 51 (3). , 2007 -
2007 | Kurzbeitrag Konferenz / Poster | Veröffentlicht | PUB-ID: 2934351The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work with Martin Hadac and Herbert Koch)PUB | DOI
Herr, Sebastian, The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work with Martin Hadac and Herbert Koch). Nonlinear Waves and Dispersive Equations. Report 44/2007 4 (4). Zürich, 2007 -
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934347On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary conditionPUB | DOI | arXiv
Herr, Sebastian, On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition. International Mathematics Research Notices 2006 (). , 2006