On the well-posedness of the Cauchy problem for the two-component peakon system in \(C^k \cap W^{k,1}\)
DOI10.1007/s00033-024-02246-3zbMATH Open1540.35118MaRDI QIDQ6541362
Publication date: 17 May 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
cubic nonlinearitylocal well-posednessblow-up criteriaFORQ equationnonlocal (Alice-Bob) integrable systemtwo-component peakon equation
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) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)
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