The Fokas method for the well-posedness of nonlinear dispersive equations in domains with a boundary

DOI10.1007/978-3-031-37404-3_24zbMATH Open1548.35028MaRDI QIDQ6608641

Dionyssios Mantzavinos

Publication date: 20 September 2024

zbMATH Keywords

Fourier transforminverse scattering transformwell-posednessinitial-boundary value problemsKdVFokas methodNLSdispersive equationsunified transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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