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  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
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  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Two remarks on a generalized Davey-Stewartson system

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Date

2006-03-01

Author

Eden, Osman Alp
Erbay, Hüsnü Ata
Muslu, Gülçin Mihriye

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Citation

Eden, A., Erbay, H. A. & Muslu, G. M. (2006). Two remarks on a generalized Davey–Stewartson system. Nonlinear Analysis, Theory, Methods and Applications, 64(5), 979-986. doi:10.1016/j.na.2005.05.052

Abstract

We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, we establish a blow-up profile. These conditions turn out to be necessary conditions for the existence of a special '' radial '' solution. In the elliptic-elliptic-elliptic case, under milder conditions, we show the L-P-norms of the solutions decay to zero algebraically in time for 2 < p < infinity.

Source

Nonlinear Analysis, Theory, Methods and Applications

Volume

64

Issue

5

URI

https://hdl.handle.net/11729/231
http://dx.doi.org/10.1016/j.na.2005.05.052

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [216]
  • Scopus İndeksli Makale Koleksiyonu [885]
  • WoS İndeksli Makale Koleksiyonu [893]



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