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Global conservative weak solutions and global strong solutions for a class of weakly dissipative nonlinear dispersive wave equations
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DOI：10.1016/j.cnsns.2026.110507.png)
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Abstract
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• Global conservative weak solutions are established for a class of weakly dissipative nonlinear dispersive wave equations. • Global existence of strong solutions is established for small initial data. • Global existence of strong solutions is established for sign-changing initial data. • A unified approach recovers and significantly extends known global existence results for a variety of classical models.
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