On well-posedness of nonlocal evolution equations
DOI10.1007/s10013-023-00615-5zbMath1530.35280OpenAlexW4376126283MaRDI QIDQ6144956
A. Alexandrou Himonas, Fangchi Yan
Publication date: 8 January 2024
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-023-00615-5
Sobolev spaceswell-posednessinitial value problemnonlocal equationsCamassa-Holm equationBourgain spacesnonuniform dependencemodified Novikov equationtrilinear estimates
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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