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|Title:||On sharp global well-posedness and ill-posedness for a fifth-order KdV-BBM type equation|
|Abstract:||We consider the Cauchy problem associated to the recently derived higher order Hamiltonian model for unidirectional water waves and prove global existence for given data in the Sobolev space Hs, s≥1. We also prove an ill-posedness result by showing that the flow-map is not continuous if the given data has Sobolev regularity s<1. The results obtained in this work are sharp|
|Subject:||Problema de Cauchy|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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