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math.AP2026
Diophantine conditions in well-posedness theory for a coupled modulated Korteweg-de Vries system
Thomas Arthur, Damiano Greco, Kotaro Tsugawa
We study the well-posedness theory of a coupled modulated Korteweg-de Vries (KdV) system on the circle with a time non-homogeneous modulation acting on the linear dispersion term.…
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…