A note on the quartic generalized Korteweg–de Vries equation in weighted Sobolev spaces

Alejandro J. Castro; Amin Esfahani; Lyailya Zhapsarbayeva

doi:10.1016/j.na.2023.113400

A note on the quartic generalized Korteweg–de Vries equation in weighted Sobolev spaces

Alejandro J. Castro, Amin Esfahani, Lyailya Zhapsarbayeva

School of Sciences and Humanities

Research output: Contribution to journal › Article › peer-review

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 H^s(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.

Original language	English
Article number	113400
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	238
DOIs	https://doi.org/10.1016/j.na.2023.113400
Publication status	Published - Jan 2024

Keywords

Fractional derivative
Korteweg–de Vries equations
Persistence property
Weighted Sobolev space

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2023.113400

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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",

keywords = "Fractional derivative, Korteweg–de Vries equations, Persistence property, Weighted Sobolev space",

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AU - Esfahani, Amin

AU - Zhapsarbayeva, Lyailya

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AB - 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

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KW - Weighted Sobolev space

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A note on the quartic generalized Korteweg–de Vries equation in weighted Sobolev spaces

Abstract

Keywords

ASJC Scopus subject areas

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