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Norm-inflation for periodic NLS equation...

Carles, Rémi...

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Norm-inflation for periodic NLS equations in negative Sobolev spaces by Carles, Rémi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	15-07-2015
Summary	In this paper we consider Schr{ö}dinger equations with nonlinearities of odd order 2σ + 1 on T^d. We prove that for σd≥2, they are strongly illposed in the Sobolev space H^s for any s \textless{} 0, exhibiting norm-inflation with infinite loss of regularity. In the case of the one-dimensional cubic nonlinear Schr{ö}dinger equation and its renormalized version we prove such a result for H^s with s \textless{} --2/3.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1507.04218

Citation

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AMA 11th EditionReferences

Carles, Rémi. Norm-inflation for periodic NLS equations in negative Sobolev spaces. N.A. July 15, 2015. Accessed August 17, 2025. https://online.provdatabase.com/cite/18788

APA 7th EditionReferences

Carles, Rémi. (2015). Norm-inflation for periodic NLS equations in negative Sobolev spaces. N.A. https://online.provdatabase.com/cite/18788

Chicago 17th EditionReferences

Carles, Rémi. Norm-inflation for periodic NLS equations in negative Sobolev spaces. N.A. 2015. https://online.provdatabase.com/cite/18788

HarvardReferences

Carles, Rémi. (2015). Norm-inflation for periodic NLS equations in negative Sobolev spaces. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18788. (Accessed 17 August 2025).

Harvard AustraliaReferences

Carles, Rémi, 2015, Norm-inflation for periodic NLS equations in negative Sobolev spaces, N.A, viewed 17 August 2025, <https://online.provdatabase.com/cite/18788>

MLA 9th EditionWorks Cited

Carles, Rémi. Norm-inflation for periodic NLS equations in negative Sobolev spaces. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18788.

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