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Showing 1 to 2 of 2 for “"Small data solutions"”.
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Semilinear Systems of Weakly Coupled Damped Waves
In this thesis we study the global existence of small data solutions to the Cauchy problem for semilinear damped wave equations with an effective dissipation term, where the data are supposed to belong to different classes of regularity. We apply these results to the Cauchy problem for weakly …
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Linear and non-linear collisionless many-particle systems
… one hand, we study the large time behavior of solutions to the Vlasov--Poisson system, which describes a self-gravitating system interacting through the laws of gravity set by Newton. On the other hand, we study the large time behavior of solutions to the Einstein--Vlasov system, which …