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Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity

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Anna Zhigun

Analysis of PDEs · Submitted 15 Apr 2018

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

The authors' main claim The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic-parabolic Keller-Segel system with logarithmic sensitivity for any space dimension.

how it is stated · asserted 1.00 read the record →

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arXiv ID1804.05333 (version 1)
Pith IDRK3BZ6TM, Pith's permanent record of this paper and its review
CitationAnna Zhigun. "Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity." arXiv:1804.05333 (2018). https://pith.science/paper/RK3BZ6TM
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,585 input tokens.

What the abstract itself states, as probabilities: claims first 0.12 · states limitation 0.13 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic-parabolic Keller-Segel system with logarithmic sensitivity for any space dimension. It is verified that smooth supersolutions of this sort are actually classical solutions. Unlike the previously existing constructions, neither is the chemotactic sensitivity coefficient required to be small, nor is it necessary for the initial data to be radially symmetric. Keywords: chemotaxis; generalised supersolution; global existence; logarithmic sensitivity

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 The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic-parabolic Keller-Segel system with logarithmic sensitivity for any space dimension. result 0.85 0.91 0.92 asserted 1.00
s1 It is verified that smooth supersolutions of this sort are actually classical solutions. result 0.90 0.88 0.10 asserted 1.00
s2 Unlike the previously existing constructions, neither is the chemotactic sensitivity coefficient required to be small, nor is it necessary for the initial data to be radially symmetric. contribution 0.70 0.72 0.13 asserted 1.00
s3 Keywords: chemotaxis; generalised supersolution; global existence; logarithmic sensitivity background 0.75 0.10 0.02 unclear 0.99

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

The paper
Original abstract

The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic-parabolic Keller-Segel system with logarithmic sensitivity for any space dimension. It is verified that smooth supersolutions of this sort are actually classical solutions. Unlike the previously existing constructions, neither is the chemotactic sensitivity coefficient required to be small, nor is it necessary for the initial data to be radially symmetric. Keywords: chemotaxis; generalised supersolution; global existence; logarithmic sensitivity

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