Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations

Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations

Year:    1998

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 1 : pp. 83–96

Abstract

In this paper we study the Cauchy problem for a class of coupled equations which describe the resonant interaction between long wave and short wave. The global well-posedness of the problem is established in space H^{\frac{1}{2}+k} × H^k (k ∈ Z^+ ∪ {0}), the first and second components of which correspond to the short and long wave respectively.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JPDE-5557

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 1 : pp. 83–96

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Cauchy problem