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Volume 17, Issue 3
Sharp Criterions of Global Existence and Collapse for Coupled Nonlinear Schrodinger Equations

Zaihui Gan & Jian Zhang

J. Part. Diff. Eq., 17 (2004), pp. 207-220.

Published online: 2004-08

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  • Abstract

In this paper, a series of sharp criterions of global existence and collapse for coupled nonlinear Schrödinger equations are derived out in terms of the characteristics of the ground state and the local theories. And the conclusion that how small the initial data are, the global solutions exist is proved.

  • Keywords

Sharp criterion Ground state Global existence Collapse

  • AMS Subject Headings

35A15 35Q20 35Q55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-17-207, author = {Zaihui Gan and Jian Zhang }, title = {Sharp Criterions of Global Existence and Collapse for Coupled Nonlinear Schrodinger Equations}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {3}, pages = {207--220}, abstract = {

In this paper, a series of sharp criterions of global existence and collapse for coupled nonlinear Schrödinger equations are derived out in terms of the characteristics of the ground state and the local theories. And the conclusion that how small the initial data are, the global solutions exist is proved.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5388.html} }
TY - JOUR T1 - Sharp Criterions of Global Existence and Collapse for Coupled Nonlinear Schrodinger Equations AU - Zaihui Gan & Jian Zhang JO - Journal of Partial Differential Equations VL - 3 SP - 207 EP - 220 PY - 2004 DA - 2004/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5388.html KW - Sharp criterion KW - Ground state KW - Global existence KW - Collapse AB -

In this paper, a series of sharp criterions of global existence and collapse for coupled nonlinear Schrödinger equations are derived out in terms of the characteristics of the ground state and the local theories. And the conclusion that how small the initial data are, the global solutions exist is proved.

Zaihui Gan and Jian Zhang . (2004). Sharp Criterions of Global Existence and Collapse for Coupled Nonlinear Schrodinger Equations. Journal of Partial Differential Equations. 17 (3). 207-220. doi:
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