ALMOST GLOBAL EXISTENCE FOR CUBIC NONLINEAR SCHRODINGER EQUATIONS IN ONE SPACE DIMENSION

Author(s): Murphy, Jason; Pusateri, Fabio Giuseppe

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DC Field	Value	Language
dc.contributor.author	Murphy, Jason	-
dc.contributor.author	Pusateri, Fabio Giuseppe	-
dc.date.accessioned	2018-07-20T15:07:13Z	-
dc.date.available	2018-07-20T15:07:13Z	-
dc.date.issued	2017-04	en_US
dc.identifier.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	en_US
dc.identifier.issn	1078-0947	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr17679	-
dc.description.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.	en_US
dc.format.extent	2077 - 2102	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS	en_US
dc.rights	Author's manuscript	en_US
dc.title	ALMOST GLOBAL EXISTENCE FOR CUBIC NONLINEAR SCHRODINGER EQUATIONS IN ONE SPACE DIMENSION	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.3934/dcds.2017089	-
dc.date.eissued	2017-04	en_US
dc.identifier.eissn	1553-5231	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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