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On the stability of the Schwartz class under the magnetic Schr\"odinger flow

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Grégory Boil, Nicolas Raymond, San Vu Ngoc

Analysis of PDEs · Submitted 14 Jun 2018

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

The authors' main claim We prove that the Schwartz class is stable under the magnetic Schr\"odinger flow when the magnetic $2$-form is non-degenerate and does not oscillate too much at infinity.

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arXiv ID1806.05389 (version 1)
Pith IDG74BTQPO, Pith's permanent record of this paper and its review
CitationGr\'egory Boil, Nicolas Raymond, San Vu Ngoc. "On the stability of the Schwartz class under the magnetic Schr\"odinger flow." arXiv:1806.05389 (2018). https://pith.science/paper/G74BTQPO
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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 0.81 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We prove that the Schwartz class is stable under the magnetic Schr\"odinger flow when the magnetic $2$-form is non-degenerate and does not oscillate too much at infinity.

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 prove that the Schwartz class is stable under the magnetic Schr\"odinger flow when the magnetic $2$-form is non-degenerate and does not oscillate too much at infinity. result 0.92 0.95 0.95 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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not examined
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  • references and citing sentences
  • relations to other papers
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  • R cross-paper relations

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

The paper
Original abstract

We prove that the Schwartz class is stable under the magnetic Schr\"odinger flow when the magnetic $2$-form is non-degenerate and does not oscillate too much at infinity.

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