The cubic Szegő equation on the real line: explicit formula and well-posedness on the Hardy class
DOI10.1007/s00220-024-05040-4MaRDI QIDQ6568762
Alexander Pushnitski, Patrick Gérard
Publication date: 8 July 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Solutions to PDEs in closed form (35C05) Hardy spaces (30H10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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