Contact information

Address: Institutt for matematiske fag
NTNU
Alfred Getz' vei 1
N-7491, Trondheim
Norway
E-mail: sigmund.selberg@math.ntnu.no
Telephone: (+47) 73 55 02 84 (Office)
(+47) 400 43 660 (Mobile)
Telefax: (+47) 73 59 35 24

Teaching
2007 Vår TMA4305 Partielle diff.lign.
2006 Høst: TMA4100 Matematikk 1
Vår: TMA4305 Partielle diff.lign.
2005 Høst: TMA4130 Matematikk 4N
Vår: TMA4105 Matematikk 2
2004 Høst: TMA4130 Matematikk 4N
Vår: TMA4105 Matematikk 2
2003 Høst: TMA4130 Matematikk 4N

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Research

Papers in preparation:

  1. Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. (With P. D'Ancona and D. Foschi.) In preparation.
  2. Atlas of products for wave-Sobolev spaces. (With P. D'Ancona and D. Foschi.) In preparation.

Accepted, awaiting publication:

  1. Low regularity well-posedness of the Dirac-Klein-Gordon system in one space dimension. With A. Tesfahun. To appear in Commun. Contemp. Math. pdf.

Published:

  1. Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system. (With P. D'Ancona and D. Foschi.) Journal of the EMS 9 (2007) no. 4, 877-898. pdf.
  2. Global well-posedness below the charge norm for the Dirac-Klein-Gordon system in one space dimension. IMRN (2007). pdf.
  3. Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. (With P. D'Ancona and D. Foschi.) Journal of Hyperbolic Differential Equations (2007), no. 2, 295-330. pdf.
  4. Convergence of the Dirac-Maxwell system to the Vlasov-Poisson system. (With N. J. Mauser.) Communications in PDE 32 no. 3, (2007), 503-524. pdf.
  5. On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. (With P. Bechouche and N. J. Mauser.) Journal of Hyperbolic Differential Equations 2 (2005), no. 1, 129-182. pdf.
  6. Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. (With P. Bechouche and N. J. Mauser.) American Journal of Mathematics 126 (2004), no. 1, 31-64. pdf.
  7. Derivation of Schrödinger-Poisson as the non-relativistic limit of Klein-Gordon Maxwell. (With P. Bechouche and N. J. Mauser.) Hyperbolic problems: theory, numerics, applications, 357--367, Springer, Berlin, 2003.
  8. Almost optimal local well-posedness of the Klein-Gordon-Maxwell system in 1+4 dimensions. Communications in PDE 27 (2002), 1183-1227. pdf
  9. Bilinear estimates and applications to nonlinear wave equations. (With Sergiu Klainerman.) Commun. Contemp. Math. 4 (2002), 223-295. pdf
  10. On an estimate for the wave equation and applications to nonlinear problems. Differential and Integral Equations 2 (2002), 213-236. pdf
  11. Remark on the optimal regularity for equations of wave maps type. (With Sergiu Klainerman.) Communications in PDE 22 (1997), 901-918. pdf

Thesis:

Multilinear spacetime estimates and applications to local existence theory for nonlinear wave equations. Ph.D. Thesis, Princeton University 1999. pdf. Advisor: Sergiu Klainerman.

Lecture notes:

In the spring semester 2001 I gave a graduate course on nonlinear wave equations at Johns Hopkins University. The course notes can be downloaded here: pdf.

Slides:

Here is a presentation from a talk I gave in the DIFTA seminar at NTNU: DIFTAtalk06.pdf

Links

 MathSciNet

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Sigmund Selberg :: Institutt for matematiske fag :: NTNU