Article ID Journal Published Year Pages File Type
842865 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract

This paper investigates the boundary control problem of the viscosity Degasperis–Procesi equation in [0, 1]. Results of the existence of a solution to the viscosity Degasperis–Procesi equation in a short time interval under the boundary condition, are given in the paper. It proves the global exponential stability under the given boundary condition in L2L2, H1H1, H2H2, H3H3 space.

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