Hjem
Sigmund Selbergs bilde

Sigmund Selberg

Professor
  • E-postSigmund.Selberg@uib.no
  • Telefon+47 55 58 42 77+47 400 43 660
  • Besøksadresse
    4. etg. Realfagsbygget
    Allégaten 41
    Rom 
    4A6b
  • Postadresse
    Postboks 7803
    5020 Bergen
Vitenskapelig artikkel
  • 2019. 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. 1311-1330.
  • 2018. 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. 2555-2569.
  • 2017. On the radius of spatial analyticity for the quartic generalized KdV equation. Annales de l'Institute Henri Poincare. Physique theorique. 3553-3564.
  • 2017. On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real world applications. 35-48.
  • 2017. Lower bounds on the radius of spatial analyticity for the KdV equation. Annales de l'Institute Henri Poincare. Physique theorique. 1009-1023.
  • 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). 1729-1752.
  • 2015. On the radius of spatial analyticity for the 1d Dirac–Klein–Gordon equations. Journal of Differential Equations. 4732-4744.
  • 2015. A remark on unconditional uniqueness in the Chern-Simons-Higgs model. Differential and Integral Equations. 333-346.
  • 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.). 1055-1063.
  • 2013. Global well-posedness of the Chern-Simons-Higgs equations with finite energy. Discrete and Continuous Dynamical Systems. Series A. 2531-2546.
  • 2012. Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Journal of Differential Equations. 1603-1634.
  • 2012. ATLAS OF PRODUCTS FOR WAVE-SOBOLEV SPACES ON R1+3. Transactions of the American Mathematical Society. 31-63.
  • 2011. Global well-posedness of the Maxwell-Dirac system in two space dimensions. Journal of Functional Analysis. 2300-2365.
  • 2011. Bilinear Fourier restriction estimates related to the 2d wave equation. Advances in Differential Equations. 667-690.
  • 2010. Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension. NoDEA. Nonlinear differential equations and applications (Printed ed.). 453-465.
  • 2010. Product estimates for wave-Sobolev spaces in 1+1 and 1+2 dimensions. Contemporary Mathematics. 125-150.
  • 2010. Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. American Journal of Mathematics. 771-839.
  • 2010. Low regularity well-posedness for some nonlinear Dirac equations in one space dimension. Differential and Integral Equations. 265-278.
  • 2010. Finite-energy global well-posedness of the Maxwell-Klein-Gordon equations in Lorenz gauge. Communications in Partial Differential Equations. 1029-1057.
  • 2008. Low regularity well-posedness of the Dirac-Klein-Gordon system in one space dimension. Communications in Contemporary Mathematics. 181-194.
  • 2008. Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension. Communications in Contemporary Mathematics. 181-194.
  • 2008. Anisotropic Bilinear L-2 Estimates Related to the 3D Wave Equation. International mathematics research notices. 63 sider.
  • 2007. Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system. Journal of the European Mathematical Society (Print). 877-898.
  • 2007. Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Journal of Hyperbolic Differential Equations. 295-330.
  • 2007. Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension. International mathematics research notices.
  • 2007. Convergence of the Dirac-Maxwell System to the Vlasov-Poisson System. Communications in Partial Differential Equations. 503-524.
  • 2005. On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Journal of Hyperbolic Differential Equations. 129-182.
  • 2004. Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. American Journal of Mathematics. 31-64.
  • 2002. On an estimate for the wave equation and applications to nonlinear problems. Differential and Integral Equations. 213-236.
  • 2002. Bilinear estimates and applications to nonlinear wave equations. Communications in Contemporary Mathematics. 223-295.
  • 2002. Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions. Communications in Partial Differential Equations. 1183-1227.
  • 1997. Remark on the optimal regularity for equations of wave maps type. Communications in Partial Differential Equations. 901-918.
Vitenskapelig foredrag
  • 2010. Null structure and regularity properties of the Maxwell-Dirac system.
  • 2010. Global existence for the Maxwell-Dirac system in two space dimensions.
  • 2008. Maxwell-Dirac: Null structure and almost optimal local well-posedness.
  • 2007. Global well-posedness for the 1d Dirac-Klein-Gordon system.
Doktorgradsavhandling
  • 1999. Multilinear space-time estimates and applications to local existence theory for nonlinear wave equations.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • 2018. Spatial analyticity of solutions to nonlinear dispersive PDE. 18 sider.
  • 2009. Low regularity solutions of the Maxwell-Dirac system. 10 sider.

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