ALMOST GLOBAL EXISTENCE FOR CUBIC NONLINEAR SCHRODINGER EQUATIONS IN ONE SPACE DIMENSION
Author(s): Murphy, Jason; Pusateri, Fabio Giuseppe
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http://arks.princeton.edu/ark:/88435/pr17679| Abstract: | We consider non-gauge-invariant cubic nonlinear Schrodinger equations in one space dimension. We show that initial data of size epsilon in a weighted Sobolev space lead to solutions with sharp L-x(infinity) decay up to time exp(C-epsilon(-2)). We also exhibit norm growth beyond this time for a specific choice of nonlinearity. |
| Publication Date: | Apr-2017 |
| Electronic Publication Date: | Apr-2017 |
| Citation: | Murphy, Jason, Pusateri, Fabio. (2017). ALMOST GLOBAL EXISTENCE FOR CUBIC NONLINEAR SCHRODINGER EQUATIONS IN ONE SPACE DIMENSION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 37 (2077 - 2102. doi:10.3934/dcds.2017089 |
| DOI: | doi:10.3934/dcds.2017089 |
| ISSN: | 1078-0947 |
| EISSN: | 1553-5231 |
| Pages: | 2077 - 2102 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
| Version: | Author's manuscript |
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