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

DOI10.1016/j.na.2023.113400zbMath1527.35344arXiv2207.12727MaRDI QIDQ6086077

Alejandro J. Castro, Amin Esfahani, L. K. Zhapsarbaeva

Publication date: 9 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12727

zbMATH Keywords

weighted Sobolev spacefractional derivativeKorteweg-de Vries equationspersistence property

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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