The Korteweg-de Vries equation in a quarter plane, continuous dependence results
The Korteweg-de Vries equation in a quarter plane, continuous dependence results
Considered herein is an initial-and boundary-value problem that arises in modeling the propagation of small-amplitude, long waves generated by a wavemaker at one end of a homogeneous stretch of nonlinear, dispersive media.The principle accomplishment is to show that the solutions to this problem depend continuously in strong norms on both …