L. Molinet

collaborators

3 papers

math.AP2026

$L^{2} (R)$ -Unconditional well-posedness for low dispersion fractional KdV equations

Luc Molinet, Weipeng Zhu

We show that the $L^{2} (R)$ -unconditional well-posedness, that is well-known for the KdV equation, is shared by KdV type equations with weaker dispersion. This is despite…

math.AP2025

Improved refined bilinear estimates and well-posedness for generalized KdV type equations on $R$

Luc Molinet, Tomoyuki Tanaka

We study the Cauchy problem for one-dimensional dispersive equations posed on $R$ , under the hypotheses that the dispersive operator behaves, for high frequencies, as a F…

math.AP2025

Local well-posedness for the derivative nonlinear SchrÃ¶dinger equation with nonvanishing boundary conditions

Luc Molinet, Tomoyuki Tanaka

We consider the derivative nonlinear SchrÃ¶dinger equation on the real line, with a background function $I ¨ (t, x) \in L^{\infty} (R^{2})$ that satisfies suitable conditions. Such…

L2(R)-Unconditional well-posedness for low dispersion fractional KdV equations

Improved refined bilinear estimates and well-posedness for generalized KdV type equations on R

Local well-posedness for the derivative nonlinear SchrÃ¶dinger equation with nonvanishing boundary conditions

$L^{2} (R)$ -Unconditional well-posedness for low dispersion fractional KdV equations

Improved refined bilinear estimates and well-posedness for generalized KdV type equations on $R$