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math.AP2010★ 16 cited
Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
It is known that the singularity in the non-cutoff cross-section of the Boltzmann equation leads to the gain of regularity and gain of weight in the velocity variable. By defining…
math.AP2010
The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential
Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2
As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole…