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Showing results 1-43 of 43

2021
1 Selberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun.
Dispersive Estimates for Full Dispersion KP Equations. Journal of Mathematical Fluid Mechanics 2021 ;Volume 23.(25)
UiB Untitled
 
2 Temesgen, Achenef Tesfahun; Selberg, Sigmund.
Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower. NoDEA. Nonlinear differential equations and applications (Printed ed.) 2021 (42)
UiB Untitled
 
2020
3 Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef.
Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type. SIAM Journal on Mathematical Analysis 2020 ;Volume 52.(3) p. 2353-2382
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4 Selberg, Sigmund; Temesgen, Achenef Tesfahun.
Ill-posedness of the Thirring model below the critical regularity. Journal of Mathematical Physics 2020 ;Volume 61.(7) p. -
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2019
5 Selberg, Sigmund.
On the radius of spatial analyticity for solutions of the Dirac–Klein–Gordon equations in two space dimensions. Annales de l'Institut Henri Poincare. Analyse non linéar 2019 ;Volume 36.(5) p. 1311-1330
UiB Untitled
 
2018
6 Selberg, Sigmund.
Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field. Discrete and Continuous Dynamical Systems. Series A 2018 ;Volume 38.(5) p. 2555-2569
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7 Selberg, Sigmund.
Spatial analyticity of solutions to nonlinear dispersive PDE. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 ISBN 978-3-03719-186-6. p. 437-454
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2017
8 Selberg, Sigmund; Da Silva, Daniel Oliveira.
Lower bounds on the radius of spatial analyticity for the KdV equation. Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics 2017 ;Volume 18.(3) p. 1009-1023
UiB NTNU Untitled
 
9 Selberg, Sigmund; Kalisch, Henrik; Himonas, A. Alexandrou.
On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real world applications 2017 ;Volume 38. p. 35-48
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10 Selberg, Sigmund; Tesfahun, Achenef.
On the radius of spatial analyticity for the quartic generalized KdV equation. Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics 2017 ;Volume 18.(11) p. 3553-3564
UiB Untitled
 
2016
11 Selberg, Sigmund; Tesfahun, Achenef.
Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz Gauge. Journal of the European Mathematical Society (Print) 2016 ;Volume 18.(8) p. 1729-1752
UiB Untitled
 
2015
12 Selberg, Sigmund; Da Silva, Daniel Oliveira.
A remark on unconditional uniqueness in the Chern-Simons-Higgs model. Differential and Integral Equations 2015 ;Volume 28.(3-4) p. 333-346
NTNU Untitled
 
13 Selberg, Sigmund; Temesgen, Achenef Tesfahun.
On the radius of spatial analyticity for the 1d Dirac–Klein–Gordon equations. Journal of Differential Equations 2015 ;Volume 259.(9) p. 4732-4744
UiB Untitled
 
2013
14 Selberg, Sigmund; Tesfahun, Achenef.
Global well-posedness of the Chern-Simons-Higgs equations with finite energy. Discrete and Continuous Dynamical Systems. Series A 2013 ;Volume 33.(6) p. 2531-2546
NTNU Untitled
 
15 Selberg, Sigmund; Tesfahun, Achenef.
Unconditional uniqueness in the charge class for the Dirac-Klein-Gordon equations in two space dimensions. NoDEA. Nonlinear differential equations and applications (Printed ed.) 2013 ;Volume 20.(3) p. 1055-1063
NTNU Untitled
 
2012
16 D'Ancona, Piero; Foschi, Damiano; Selberg, Sigmund.
ATLAS OF PRODUCTS FOR WAVE-SOBOLEV SPACES ON R1+3. Transactions of the American Mathematical Society 2012 ;Volume 364.(1) p. 31-63
NTNU Untitled
 
17 D'Ancona, Piero; Selberg, Sigmund.
Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Journal of Differential Equations 2012 ;Volume 252.(2) p. 1603-1634
NTNU Untitled
 
2011
18 D'Ancona, Piero; Selberg, Sigmund.
Global well-posedness of the Maxwell-Dirac system in two space dimensions. Journal of Functional Analysis 2011 ;Volume 260.(8) p. 2300-2365
NTNU Untitled
 
19 Selberg, Sigmund.
Bilinear Fourier restriction estimates related to the 2d wave equation. Advances in Differential Equations 2011 ;Volume 16.(7-8) p. 667-690
NTNU Untitled
 
2010
20 D'Ancona, Piero; Foschi, Damiano; Selberg, Sigmund.
Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. American Journal of Mathematics 2010 ;Volume 132.(3) p. 771-839
NTNU Untitled
 
21 Selberg, Sigmund.
Global existence for the Maxwell-Dirac system in two space dimensions. Nonlinear waves and dispersive equations; 2010-09-12 - 2010-09-18
NTNU Untitled
 
22 Selberg, Sigmund.
Null structure and regularity properties of the Maxwell-Dirac system. PDEs, Relativitity and Nonlinear Waves; 2010-04-05 - 2010-04-09
NTNU Untitled
 
23 Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano.
Product estimates for wave-Sobolev spaces in 1+1 and 1+2 dimensions. Contemporary Mathematics 2010 ;Volume 526. p. 125-150
NTNU Untitled
 
24 Selberg, Sigmund; Temesgen, Achenef Tesfahun.
Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension. NoDEA. Nonlinear differential equations and applications (Printed ed.) 2010 ;Volume 17.(4) p. 453-465
NTNU Untitled
 
25 Selberg, Sigmund; Tesfahun, Achenef.
Finite-energy global well-posedness of the Maxwell-Klein-Gordon equations in Lorenz gauge. Communications in Partial Differential Equations 2010 ;Volume 35.(6) p. 1029-1057
NTNU Untitled
 
26 Selberg, Sigmund; Tesfahun, Achenef.
Low regularity well-posedness for some nonlinear Dirac equations in one space dimension. Differential and Integral Equations 2010 ;Volume 23.(3-4) p. 265-278
NTNU Untitled
 
2009
27 Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano.
Low regularity solutions of the Maxwell-Dirac system. I: Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS) 2009 ISBN 978-0-8218-4728-2. p. 243-252
NTNU Untitled
 
2008
28 Selberg, S; Tesfahun, Achenef.
Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension. Communications in Contemporary Mathematics 2008 ;Volume 10. p. 181-194
NTNU Untitled
 
29 Selberg, Sigmund.
Anisotropic Bilinear L-2 Estimates Related to the 3D Wave Equation. International Mathematics Research Notices (IMRN) 2008 p. -
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30 Selberg, Sigmund.
Maxwell-Dirac: Null structure and almost optimal local well-posedness. 12th International Conference on Hyperbolic Problems: Theory, Numerics, and Applications; 2008-06-09 - 2008-06-13
NTNU Untitled
 
31 Selberg, Sigmund; Tesfahun, Achenef.
Low regularity well-posedness of the Dirac-Klein-Gordon system in one space dimension. Communications in Contemporary Mathematics 2008 ;Volume 10.(2) p. 181-194
NTNU Untitled
 
2007
32 Mauser, NJ; Selberg, Sigmund.
Convergence of the Dirac-Maxwell System to the Vlasov-Poisson System. Communications in Partial Differential Equations 2007 ;Volume 32.(3) p. 503-524
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33 Selberg, Sigmund.
Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension. International Mathematics Research Notices (IMRN) 2007
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34 Selberg, Sigmund.
Global well-posedness for the 1d Dirac-Klein-Gordon system. Non-linear hyperbolic equations and related topics; 2007-09-03 - 2007-09-07
NTNU Untitled
 
35 Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano.
Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system. Journal of the European Mathematical Society (Print) 2007 ;Volume 9.(4) p. 877-898
NTNU Untitled
 
36 Selberg, Sigmund; Foschi, Damiano; D'Ancona, Piero.
Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Journal of Hyperbolic Differential Equations 2007 ;Volume 4.(2) p. 295-330
NTNU Untitled
 
2005
37 Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund.
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Journal of Hyperbolic Differential Equations 2005 ;Volume 2.(1) p. 129-182
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2004
38 Selberg, Sigmund.
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. American Journal of Mathematics 2004 ;Volume 126. p. 31-64
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2002
39 Selberg, Sigmund.
Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions. Communications in Partial Differential Equations 2002 ;Volume 27.(5-6) p. 1183-1227
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40 Selberg, Sigmund.
On an estimate for the wave equation and applications to nonlinear problems. Differential and Integral Equations 2002 ;Volume 15.(2) p. 213-236
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41 Selberg, Sigmund; Klainerman, Sergiu.
Bilinear estimates and applications to nonlinear wave equations. Communications in Contemporary Mathematics 2002 ;Volume 4.(2) p. 223-295
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1999
42 Selberg, Sigmund.
Multilinear space-time estimates and applications to local existence theory for nonlinear wave equations. Princeton, NJ, USA: Princeton University 1999 (ISBN 9780599275829) 153 p.
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1997
43 Selberg, Sigmund.
Remark on the optimal regularity for equations of wave maps type. Communications in Partial Differential Equations 1997 ;Volume 22.(5-6) p. 901-918
NTNU Untitled