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Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds

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I. Laba, A.Soffer

Mathematical Physics · Submitted 9 Feb 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved

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arXiv IDmath-ph/0002030 (version 1)
Pith IDCQ4XCESS, Pith's permanent record of this paper and its review
CitationA.Soffer, I. Laba. "Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds." arXiv:math-ph/0002030 (2000). https://pith.science/paper/CQ4XCESS
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,632 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.78 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.05 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; .

We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved result 0.68 0.93 0.92 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved

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