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Diophantine conditions in well-posedness theory for a coupled modulated Korteweg-de Vries system
Thomas Arthur, Damiano Greco, Kotaro Tsugawa
The paper investigates global well‑posedness for a coupled, time‑modulated Korteweg‑de Vries system on the circle, using Diophantine conditions to control resonances when the coupl…
Unconditional well-posedness of the stochastic Korteweg-de Vries equation on the real line
Damiano Greco, Tadahiro Oh, Kotaro Tsugawa
We study well-posedness issues of the stochastic Korteweg-de Vries equation (SKdV) with an additive noise, posed on the real line. By using the Fourier restriction norm method adap…
Cancellation properties and unconditional well-posedness for fifth order modified KdV type equations with periodic boundary conditions
Takamori Kato, Kotaro Tsugawa
We prove the unconditional well-posedness result for fifth order modified KdV type equations in when , which includes non-integrable cases. By the con…
Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition
Takamori Kato, Kotaro Tsugawa
We consider the fifth order KdV type equations and prove the unconditional well-posedness in for . It is optimal in the sense that the nonlinear terms ca…