Blow-up of h1 solutions for the one-dimensional nonlinear schrodinger equation with critical power nonlinearity

Ogawa Takayoshi; Tsutsumi Yoshio

doi:10.1090/S0002-9939-1991-1045145-5

Blow-up of h¹ solutions for the one-dimensional nonlinear schrodinger equation with critical power nonlinearity

Ogawa Takayoshi, Tsutsumi Yoshio

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

We investigate the blow-up of solutions in H¹(R) with negative energy for the one-dimensional nonlinear Schrodinger equation with critical power nonlinearity: In our result we remove the weight condition xu₀L²(R), whichwas always assumed to show the blow-up of solutions in the previous papers.

Original language	English
Pages (from-to)	487-496
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	111
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1991-1045145-5
Publication status	Published - 1991 Feb
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1991-1045145-5

Cite this

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title = "Blow-up of h1 solutions for the one-dimensional nonlinear schrodinger equation with critical power nonlinearity",

abstract = "We investigate the blow-up of solutions in H1(R) with negative energy for the one-dimensional nonlinear Schrodinger equation with critical power nonlinearity: In our result we remove the weight condition xu0L2(R), whichwas always assumed to show the blow-up of solutions in the previous papers.",

author = "Ogawa Takayoshi and Tsutsumi Yoshio",

year = "1991",

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doi = "10.1090/S0002-9939-1991-1045145-5",

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journal = "Proceedings of the American Mathematical Society",

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AU - Takayoshi, Ogawa

AU - Yoshio, Tsutsumi

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N2 - We investigate the blow-up of solutions in H1(R) with negative energy for the one-dimensional nonlinear Schrodinger equation with critical power nonlinearity: In our result we remove the weight condition xu0L2(R), whichwas always assumed to show the blow-up of solutions in the previous papers.

AB - We investigate the blow-up of solutions in H1(R) with negative energy for the one-dimensional nonlinear Schrodinger equation with critical power nonlinearity: In our result we remove the weight condition xu0L2(R), whichwas always assumed to show the blow-up of solutions in the previous papers.

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Blow-up of h¹ solutions for the one-dimensional nonlinear schrodinger equation with critical power nonlinearity

Abstract

ASJC Scopus subject areas

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