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1. Global well posedness and limit behavior of the solutions to the viscous Degasperis–Procesi equation.

Author

Lixin Tian and Shujuan Liang

Subjects
*EQUATIONS, *QUANTUM theory, *LINEAR systems, *MATHEMATICAL analysis, *MATHEMATICAL physics
Abstract

This paper is concerned with the global well posedness and limit behavior of the solutions to the viscous Degasperis–Procesi equation. We prove the global existence and uniqueness of solution to the viscous Degasperis–Procesi equation for u0∈L2(R). The local well posedness for u0∈L2(R) has been proven based on the energy estimate. The strong and weak limit behaviors of solution to the viscous Degasperis–Procesi equation are obtained. [ABSTRACT FROM AUTHOR]

Published
2009
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