Well-posedness and continuity properties of the Degasperis-Procesi equation in critical Besov space

DOI10.1007/s00605-022-01691-4OpenAlexW3161965478MaRDI QIDQ2684472

Yanghai Yu, Jinlu Li, Weipeng Zhu

Publication date: 16 February 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08380

zbMATH Keywords

local well-posednessDegasperis-Procesi equationnon-uniform dependence

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Ill-posedness for a generalized Camassa-Holm equation with higher-order nonlinearity in the critical Besov space ⋮ Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces: revisited

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