Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line

Abstract

Initial boundary value problems for the generalized Benney-Lin equation posed on bounded intervals and on the right half-line were considered. The existence and uniqueness of global regular solutions on arbitrary intervals as well as their exponential decay for small solutions and for a special choice of a bounded interval have been established.

References in corpus (2)

• Regular Global Solutions for A Generalized KdV Equation Posed on A Half-Line
• Formulation of problems for stationary dispersive equations of higher orders on bounded intervals with general boundary conditions