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Asymptotic stability of solitons to 1D N...

Li, Ze...

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Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case by Li, Ze ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	In this paper, we prove the asymptotic stability of solitary waves to 1D nonlinear Schr\"odinger equations in the subcritical case with symmetry and spectrum assumptions. One of the main ideas is to use the vector fields method developed by Cuccagna, Georgiev, Visciglia to overcome the weak decay with respect to $t$ of the linearized equation caused by the one dimension setting and the weak nonlinearity caused by the subcritical growth of the nonlinearity term. Meanwhile, we apply the polynomial growth of the high Sobolev norms of solutions to 1D Schr\"odinger equations obtained by Staffilani to control the high moments of the solutions emerging from the vector fields method.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1504.07826

Citation

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AMA 11th EditionReferences

Li, Ze. Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case. N.A. January 01, 2015. Accessed August 18, 2025. https://online.provdatabase.com/cite/18550

APA 7th EditionReferences

Li, Ze. (2015). Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case. N.A. https://online.provdatabase.com/cite/18550

Chicago 17th EditionReferences

Li, Ze. Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case. N.A. 2015. https://online.provdatabase.com/cite/18550

HarvardReferences

Li, Ze. (2015). Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18550. (Accessed 18 August 2025).

Harvard AustraliaReferences

Li, Ze, 2015, Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/18550>

MLA 9th EditionWorks Cited

Li, Ze. Asymptotic stability of solitons to 1D Nonlinear Schrodinger Equations in subcritical case. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18550.

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