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Sigmund Selberg

Head of Department
  • E-mailSigmund.Selberg@uib.no
  • Phone+47 55 58 42 77+47 400 43 660
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Journal articles
  • Selberg, Sigmund; Da Silva, Daniel Oliveira. 2017. Lower Bounds on the Radius of Spatial Analyticity for the KdV Equation. Annales de l'Institute Henri Poincare. Physique theorique. 18: 1009-1023. doi: 10.1007/s00023-016-0498-1
  • Selberg, Sigmund; Tesfahun, Achenef. 2016. 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). 18: 1729-1752. doi: 10.4171/JEMS/627
  • Selberg, Sigmund; Da Silva, Daniel Oliveira. 2015. A remark on unconditional uniqueness in the Chern-Simons-Higgs model. Differential and Integral Equations. 28: 333-346.
  • Selberg, Sigmund; Temesgen, Achenef Tesfahun. 2015. On the radius of spatial analyticity for the 1d Dirac–Klein–Gordon equations. Journal of Differential Equations. 259: 4732-4744. doi: 10.1016/j.jde.2015.06.007
  • Selberg, Sigmund; Tesfahun, Achenef. 2013. Global well-posedness of the Chern-Simons-Higgs equations with finite energy. Discrete and Continuous Dynamical Systems. 33: 2531-2546. doi: 10.3934/dcds.2013.33.2531
  • Selberg, Sigmund; Tesfahun, Achenef. 2013. Unconditional uniqueness in the charge class for the Dirac-Klein-Gordon equations in two space dimensions. NoDEA. Nonlinear differential equations and applications (Printed ed.). 20: 1055-1063. Published 2012-08-31. doi: 10.1007/s00030-012-0196-8
  • D'Ancona, Piero; Foschi, Damiano; Selberg, Sigmund. 2012. ATLAS OF PRODUCTS FOR WAVE-SOBOLEV SPACES ON R1+3. Transactions of the American Mathematical Society. 364: 31-63. doi: 10.1090/S0002-9947-2011-05250-5
  • D'Ancona, Piero; Selberg, Sigmund. 2012. Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Journal of Differential Equations. 252: 1603-1634. doi: 10.1016/j.jde.2011.03.016
  • D'Ancona, Piero; Selberg, Sigmund. 2011. Global well-posedness of the Maxwell-Dirac system in two space dimensions. Journal of Functional Analysis. 260: 2300-2365. doi: 10.1016/j.jfa.2010.12.010
  • Selberg, Sigmund. 2011. Bilinear Fourier restriction estimates related to the 2d wave equation. Advances in Differential Equations. 16: 667-690.
  • D'Ancona, Piero; Foschi, Damiano; Selberg, Sigmund. 2010. Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. American Journal of Mathematics. 132: 771-839. doi: 10.1353/ajm.0.0118
  • Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano. 2010. Product estimates for wave-Sobolev spaces in 1+1 and 1+2 dimensions. Contemporary Mathematics. 526: 125-150.
  • Selberg, Sigmund; Temesgen, Achenef Tesfahun. 2010. Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension. NoDEA. Nonlinear differential equations and applications (Printed ed.). 17: 453-465. doi: 10.1007/s00030-010-0062-5
  • Selberg, Sigmund; Tesfahun, Achenef. 2010. Low regularity well-posedness for some nonlinear Dirac equations in one space dimension. Differential and Integral Equations. 23: 265-278.
  • Selberg, Sigmund; Tesfahun, Achenef. 2010. Finite-energy global well-posedness of the Maxwell-Klein-Gordon equations in Lorenz gauge. Communications in Partial Differential Equations. 35: 1029-1057. doi: 10.1080/03605301003717100
  • Selberg, S; Tesfahun, Achenef. 2008. Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension. Communications in Contemporary Mathematics. 10: 181-194.
  • Selberg, Sigmund. 2008. Anisotropic Bilinear L-2 Estimates Related to the 3D Wave Equation. International mathematics research notices. 63 pages. doi: 10.1093/imrn/rnn107
  • Selberg, Sigmund; Tesfahun, Achenef. 2008. Low regularity well-posedness of the Dirac-Klein-Gordon system in one space dimension. Communications in Contemporary Mathematics. 10: 181-194.
  • Mauser, NJ; Selberg, Sigmund. 2007. Convergence of the Dirac-Maxwell System to the Vlasov-Poisson System. Communications in Partial Differential Equations. 32: 503-524. doi: 10.1080/03605300600635046
  • Selberg, Sigmund. 2007. Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension. International mathematics research notices. doi: 10.1093/imrn/rnm058
  • Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano. 2007. Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system. Journal of the European Mathematical Society (Print). 9: 877-898.
  • Selberg, Sigmund; Foschi, Damiano; D'Ancona, Piero. 2007. Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Journal of Hyperbolic Differential Equations. 4: 295-330.
  • Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund. 2005. On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Journal of Hyperbolic Differential Equations. 2: 129-182.
  • Selberg, Sigmund. 2004. Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. American Journal of Mathematics. 126: 31-64.
  • Selberg, Sigmund. 2002. Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions. Communications in Partial Differential Equations. 27: 1183-1227.
  • Selberg, Sigmund. 2002. On an estimate for the wave equation and applications to nonlinear problems. Differential and Integral Equations. 15: 213-236.
  • Selberg, Sigmund; Klainerman, Sergiu. 2002. Bilinear estimates and applications to nonlinear wave equations. Communications in Contemporary Mathematics. 4: 223-295.
  • Selberg, Sigmund. 1997. Remark on the optimal regularity for equations of wave maps type. Communications in Partial Differential Equations. 22: 901-918.
Book sections
  • Selberg, Sigmund; D'Ancona, Piero; Foschi, Damiano. 2009. Low regularity solutions of the Maxwell-Dirac system. Invited Talks, pages 243-252. In:
    • Tadmor, Eitan. 2009. Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS). 1332 pages. ISBN: 978-0-8218-4728-2.

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