The Cauchy Problem for Some Dispersive Wave Equations

The Cauchy Problem for Some Dispersive Wave Equations

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 316–328

Abstract

In this paper, we consider the Cauchy problem for some dispersive equations. By means of nonlinear estimate in Besov spaces and fixed point theory, we prove the global well-posedness of the above problem. What's more, we improve the scattering result obtained in [1].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5396

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 316–328

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Well-posedness