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Showing 2008 · math.APShow all
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math.AP2008★ 5 cited
Regularity of solutions for the critical -dimensional Burgers' equation
Chi Hin Chan, Magdalena Czubak
We consider the fractional Burgers' equation on with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur \cite{Driftdiffusion…
math.AP2008★ 1 cited
Energy Critical NLS in two space dimensions
Jim Colliander, Slim Ibrahim, Mohamed Majdoub +1
We investigate the initial value problem for a defocusing nonlinear Schrödingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes i…