Abstract
In this paper we establish the persistence property for solutions of the quartic generalized Korteweg–de Vries equation with initial data in weighted Sobolev spaces Hs(R)∩L2(|x|2rdx) for s=1/12+ɛ and any r∈(0,R), for some 0<ɛ<1/4 and 0<R<s/2.
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