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math.AP2001
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…
math.AP2001
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…
math.AP2001
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…