In:
Nagoya Mathematical Journal, Cambridge University Press (CUP), Vol. 215 ( 2014-09), p. 67-149
Abstract:
In this paper, coupled systems of Korteweg-de Vries type are considered, where u = u ( x, t ), v = v ( x, t ) are real-valued functions and where x, t ∈R. Here, subscripts connote partial differentiation and are quadratic polynomials in the variables u and v . Attention is given to the pure initial-value problem in which u ( x, t ) and v ( x, t ) are both specified at t = 0, namely, for x ∈ ℝ. Under suitable conditions on P and Q , global well-posedness of this problem is established for initial data in the L 2 -based Sobolev spaces H s (ℝ) × H s (ℝ) for any s 〉 ‒3/4.
Type of Medium:
Online Resource
ISSN:
0027-7630
,
2152-6842
DOI:
10.1215/00277630-2691901
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2014
detail.hit.zdb_id:
2186888-8
SSG:
17,1
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