Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation
Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation
Two initial--boundary-value problems for the Korteweg--de~Vries equation in a half-strip with two boundary conditions and in a bounded rectangle are considered and results on local and global well-posedness of these problems are established in Sobolev spaces of various orders, including fractional. Initial and boundary data satisfy natural (or close to …