1 citations · 1 across the 1 of their papers we have counts for
5 papers
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit
Philippe Bechouche, Norbert J. Mauser, Sigmund Selberg
We deal with the ``nonrelativistic limit'', i.e. the limit c to infinity, where c is the speed of light, of the nonlinear PDE system obtained by coupling the Dirac equation for a 4…
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger-Poisson
Philippe Bechouche, Norbert Mauser, Sigmund Selberg
We prove that in the nonrelativistic limit, solutions of the Klein-Gordon-Maxwell system in 1+3 dimensions converge in the energy space to solutions of a Schrodinger-Poisson system…
On an estimate for the wave equation and applications to nonlinear problems
Sigmund Selberg
We prove estimates for solutions of the Cauchy problem for the inhomogeneous wave equation on in a class of Banach spaces whose norms only depend on the size of the spac…
Bilinear Estimates and Applications to Nonlinear Wave Equations
Sergiu Klainerman, Sigmund Selberg
We undertake a systematic review of some results concerning local well-posedness of the Cauchy problem for certain systems of nonlinear wave equations, with minimal regularity assu…
Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions
Sigmund Selberg
We prove that the Maxwell-Klein-Gordon equations on relative to the Coulomb gauge are locally well-posed for initial data in for all . This builds on pre…