coupled kdv system 1diophantine conditions 1global well-posedness 1modulated equations 1periodic domain 1sobolev spaces 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…