Existence of global solutions to the nonlocal mKdV equation on the line

DOI10.1007/S11401-024-0026-4zbMATH Open1547.35604MaRDI QIDQ6606283

Anran Liu, Engui Fan

Publication date: 16 September 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemglobal solutionsLipschitz continuousnonlocal mKdV equationPlemelj projection operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

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