Well-posedness of fully nonlinear KdV-type evolution equations
Well-posedness of fully nonlinear KdV-type evolution equations
We study the well-posedness of the initial value problem for fully nonlinear evolution equations, ut = f [u], where f may depend on up to the first three spatial derivatives of u.We make three primary assumptions about the form of f : a regularity assumption, a dispersivity assumption, and an …