On decay of solutions to some perturbations of the Korteweg-de Vries equation

DOI10.1007/s00030-024-00966-zzbMath1542.35344MaRDI QIDQ6565518

Alexander Muñoz

Publication date: 2 July 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spaceslocal well-posednessexponential decaypolynomial decay

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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