A note on the quartic generalized Korteweg–de Vries equation in weighted Sobolev spaces
Castro A.J. Esfahani A. Zhapsarbayeva L.
January 2024Elsevier Ltd
Nonlinear Analysis, Theory, Methods and Applications
2024#238
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
Fractional derivative , Korteweg–de Vries equations , Persistence property , Weighted Sobolev space
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Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematics
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