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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On sharp global well-posedness and ill-posedness for a fifth-order KdV-BBM type equation

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Author(s):
Carvajal, X. [1] ; Panthee, M. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21941909 Rio De Janeiro, RJ - Brazil
[2] IMECC UNICAMP, Dept Math, BR-13083859 Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 479, n. 1, p. 688-702, NOV 1 2019.
Web of Science Citations: 1
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 H-s, 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. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 16/25864-6 - Nonlinear Evolution Equations of Dispersive Type
Grantee:Mahendra Prasad Panthee
Support Opportunities: Regular Research Grants