ON SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION WITH INITIAL DATA THE SUM OF A PERIODIC AND A RAPIDLY DECREASING FUNCTION

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

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