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Volume 11, Issue 2
The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs

Baoxiang Wang

J. Part. Diff. Eq., 11 (1998), pp. 173-192.

Published online: 1998-11

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  • Abstract
In this paper, the local and global existence of solutions for the Cauchy problem of the critical and subcritical nonlinear Schrödinger equations in H^s (s ≥ 2) is studied by using the manner of formal differentiation with respect to time. Some conjectures posed by Cazenave and Weissler in [1] are verified.
  • Keywords

Nonlinear Schrödinger equation Cauchy problem critical and subcritical powers in H^s global existence

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@Article{JPDE-11-173, author = {Baoxiang Wang }, title = {The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {2}, pages = {173--192}, abstract = { In this paper, the local and global existence of solutions for the Cauchy problem of the critical and subcritical nonlinear Schrödinger equations in H^s (s ≥ 2) is studied by using the manner of formal differentiation with respect to time. Some conjectures posed by Cazenave and Weissler in [1] are verified.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5564.html} }
TY - JOUR T1 - The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs AU - Baoxiang Wang JO - Journal of Partial Differential Equations VL - 2 SP - 173 EP - 192 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5564.html KW - Nonlinear Schrödinger equation KW - Cauchy problem KW - critical and subcritical powers in H^s KW - global existence AB - In this paper, the local and global existence of solutions for the Cauchy problem of the critical and subcritical nonlinear Schrödinger equations in H^s (s ≥ 2) is studied by using the manner of formal differentiation with respect to time. Some conjectures posed by Cazenave and Weissler in [1] are verified.
Baoxiang Wang . (1998). The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs. Journal of Partial Differential Equations. 11 (2). 173-192. doi:
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