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Project B8: Initial value problems for nonlinear dispersive equations at critical regularity


Principal Investigator(s)
Sebastian Herr
Investigator(s)
Timothy Candy

Summary:



Recent Preprints:

16021 Timothy Candy, Hans Lindblad PDF

Long range scattering for cubic Dirac equation on $\mathbb{R}^{1+1}$

Project: B8

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Long range scattering for cubic Dirac equation on $\mathbb{R}^{1+1}$


Authors: Timothy Candy, Hans Lindblad Projects: B8
Submission Date: 2016-06-28 Submitter: Alexander Grigor'yan
Download: PDF Link: 16021

16016 Timothy Candy, Sebastian Herr PDF

Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system

Project: B8

Published: Analysis & PDE 11, no. 5 (2018), 1171–1240

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Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system


Authors: Timothy Candy, Sebastian Herr Projects: B8
Submission Date: 2016-06-08 Submitter: Moritz Kaßmann
Download: PDF Link: 16016
Published: Analysis & PDE 11, no. 5 (2018), 1171–1240

15020 Ioan Bejenaru, Zihua Guo, Sebastian Herr, Kenji Nakanishi PDF

Well-posedness and scattering for the Zakharov system in four dimensions

Project: B8

Published: Analysis & PDE 8, no. 8 (2015), 2029-2055

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Well-posedness and scattering for the Zakharov system in four dimensions


Authors: Ioan Bejenaru, Zihua Guo, Sebastian Herr, Kenji Nakanishi Projects: B8
Submission Date: 2015-05-20 Submitter: Moritz Kaßmann
Download: PDF Link: 15020
Published: Analysis & PDE 8, no. 8 (2015), 2029-2055

15011 Ioan Bejenaru, Sebastian Herr PDF

The cubic Dirac equation: small initial data in $H^\frac{1}{2} (\mathbb{R}^2 )$

Project: B8

Published: Comm. Math. Phys. 343, no. 2 (2016), 515-562

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The cubic Dirac equation: small initial data in $H^\frac{1}{2} (\mathbb{R}^2 )$


Authors: Ioan Bejenaru, Sebastian Herr Projects: B8
Submission Date: 2015-03-09 Submitter: Michael Röckner
Download: PDF Link: 15011
Published: Comm. Math. Phys. 343, no. 2 (2016), 515-562

14074 Sigmund Selberg, Achenef Tesfahun Temesgen PDF

On the radius of spatial analyticity for the 1D Dirac-Klein-Gordon equations

Project: B8

Published: Journal of Differential Equations 259, no. 9 (2015), 4732-4744

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On the radius of spatial analyticity for the 1D Dirac-Klein-Gordon equations


Authors: Sigmund Selberg, Achenef Tesfahun Temesgen Projects: B8
Submission Date: 2014-12-15 Submitter: Sebastian Herr
Download: PDF Link: 14074
Published: Journal of Differential Equations 259, no. 9 (2015), 4732-4744

14072 Sebastian Herr, Achenef Tesfahun Temesgen PDF

Small data scattering for semi-relativistic equations with Hartree type nonlinearity

Project: B8

Published: Journal of Differential Equations 259, no. 10 (2015), 5510-5532

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Small data scattering for semi-relativistic equations with Hartree type nonlinearity


Authors: Sebastian Herr, Achenef Tesfahun Temesgen Projects: B8
Submission Date: 2014-12-09 Submitter: Alexander Grigor'yan
Download: PDF Link: 14072
Published: Journal of Differential Equations 259, no. 10 (2015), 5510-5532

14069 Nils Strunk PDF

Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions

Project: B8

Published: Differential and Integral Equations 28, no. 11-12 (2015), 1069-1084

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Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions


Authors: Nils Strunk Projects: B8
Submission Date: 2014-11-28 Submitter: Sebastian Herr
Download: PDF Link: 14069
Published: Differential and Integral Equations 28, no. 11-12 (2015), 1069-1084

14057 Sebastian Herr, Vedran Sohinger PDF

The Gross-Pitaevskii hierarchy on general rectangular tori

Project: B8

Published: Arch. Ration. Mech. Anal. 220, no. 3 (2016), 1119-1158

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The Gross-Pitaevskii hierarchy on general rectangular tori


Authors: Sebastian Herr, Vedran Sohinger Projects: B8
Submission Date: 2014-10-22 Submitter: Michael Röckner
Download: PDF Link: 14057
Published: Arch. Ration. Mech. Anal. 220, no. 3 (2016), 1119-1158

14048 Ioan Bejenaru, Sebastian Herr PDF

On global well-posedness and scattering for the massive Dirac-Klein-Gordon system

Project: B8

Published: Journal of the European Mathematical Society (2017) 19, no. 8 (2017), 2445-2467

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On global well-posedness and scattering for the massive Dirac-Klein-Gordon system


Authors: Ioan Bejenaru, Sebastian Herr Projects: B8
Submission Date: 2014-09-08 Submitter: Michael Baake
Download: PDF Link: 14048
Published: Journal of the European Mathematical Society (2017) 19, no. 8 (2017), 2445-2467

14043 Achenef Tesfahun Temesgen PDF

Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm

Project: B8

Published: Nonlinear Differ. Equ. Appl. 22, no. 4 (2015), 849-875

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Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm


Authors: Achenef Tesfahun Temesgen Projects: B8
Submission Date: 2014-08-25 Submitter: Moritz Kaßmann
Download: PDF Link: 14043
Published: Nonlinear Differ. Equ. Appl. 22, no. 4 (2015), 849-875



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