6 citations · 11 across the 8 of their papers we have counts for
8 papers
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.…
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…
Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients
Tomoyuki Tanaka, Kotaro Tsugawa
We consider the Cauchy problem of a class of higher order Schrödinger type equations with constant coefficients. By employing the energy inequality, we show the well-posednes…
Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus
Kotaro Tsugawa
We consider the Cauchy problem of fifth order dispersive equations on the torus. We assume that the initial data is sufficiently smooth and the nonlinear term is a polynomial depen…
Scattering and well-posedness for the Zakharov system at a critical space in four and more spatial dimensions
Isao Kato, Kotaro Tsugawa
We study the Cauchy problem for the Zakharov system in spatial dimension with initial datum $(u(0), n(0), \partial_t n(0)) \in H^k(\mathbb{R}^d) \times \dot{H}^l(\mathbb{R…
Local well-posedness of the KdV equation with quasi periodic initial data
Kotaro Tsugawa
We prove the local well-posedness for the Cauchy problem of the Korteweg-de Vries equation in a quasi periodic function space. The function space contains functions such that f=f_1…