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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.AP2007
Local wellposedness for the 2+1 dimensional monopole equation
Magdalena Czubak
The space-time monopole equation on can be derived by a dimensional reduction of the anti-self-dual Yang Mills equations on . It can be also viewed as the hype…