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Radiating and non-radiating sources in elasticity

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Eemeli Bl{aa}sten, Yi-Hsuan Lin

Analysis of PDEs · Submitted 19 Jul 2018

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

The authors' main claim If the support of such a force has a convex or non-convex corner or edge on their boundary, the force must be vanishing there.

how it is stated · asserted 1.00 read the record →

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arXiv ID1807.07225 (version 2)
Pith IDRQGFSW3E, Pith's permanent record of this paper and its review
CitationEemeli Bl{\aa}sten, Yi-Hsuan Lin. "Radiating and non-radiating sources in elasticity." arXiv:1807.07225 (2018). https://pith.science/paper/RQGFSW3E
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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, 4,120 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.25 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

In this work, we study the inverse source problem of a fixed frequency for the Navier's equation. We investigate that nonradiating external forces. If the support of such a force has a convex or non-convex corner or edge on their boundary, the force must be vanishing there. The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. The idea originates from the enclosure method: The energy identity and new type exponential solutions for the Navier's equation.

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 In this work, we study the inverse source problem of a fixed frequency for the Navier's equation. contribution 0.78 0.81 0.04 asserted 0.79
s1 We investigate that nonradiating external forces. contribution 0.98 0.80 0.07 unclear 0.58
s2 If the support of such a force has a convex or non-convex corner or edge on their boundary, the force must be vanishing there. result 1.00 0.79 0.58 asserted 1.00
s3 The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. result 0.97 0.68 0.16 asserted 0.99
s4 The idea originates from the enclosure method: The energy identity and new type exponential solutions for the Navier's equation. method 0.97 0.28 0.03 asserted 0.98

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

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • 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

In this work, we study the inverse source problem of a fixed frequency for the Navier's equation. We investigate that nonradiating external forces. If the support of such a force has a convex or non-convex corner or edge on their boundary, the force must be vanishing there. The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. The idea originates from the enclosure method: The energy identity and new type exponential solutions for the Navier's equation.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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