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Volume 11, Issue 1
Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations

Boling Guo & Changxing Miao

J. Part. Diff. Eq., 11 (1998), pp. 83-96.

Published online: 1998-11

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  • 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.
  • Keywords

Cauchy problem long-short wave equation well-posedness

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@Article{JPDE-11-83, author = {Boling Guo and Changxing Miao }, title = {Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5557.html} }
TY - JOUR T1 - Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations AU - Boling Guo & Changxing Miao JO - Journal of Partial Differential Equations VL - 1 SP - 83 EP - 96 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5557.html KW - Cauchy problem KW - long-short wave equation KW - well-posedness AB - 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.
Boling Guo and Changxing Miao . (1998). Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations. Journal of Partial Differential Equations. 11 (1). 83-96. doi:
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