On well-posedness for some Korteweg-De Vries type equations with variable coefficients
On well-posedness for some Korteweg-De Vries type equations with variable coefficients
In this paper, KdV-type equations with time- and space-dependent coefficients are considered. Assuming that the dispersion coefficient in front of $u_{xxx}$ is positive and uniformly bounded away from the origin and that a primitive function of the ratio between the anti-dissipation and the dispersion coefficients is bounded from below, we …