2 papers
math.AP2025
Improved refined bilinear estimates and well-posedness for generalized KdV type equations on
Luc Molinet, Tomoyuki Tanaka
We study the Cauchy problem for one-dimensional dispersive equations posed on , under the hypotheses that the dispersive operator behaves, for high frequencies, as a F…
math.AP2025
Local well-posedness for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
Luc Molinet, Tomoyuki Tanaka
We consider the derivative nonlinear Schrödinger equation on the real line, with a background function that satisfies suitable conditions. Such…