Inverse Nonlinear Scattering by a Metric Article Swipe
Peter Hintz
,
Antônio Sá Barreto
,
Günther Uhlmann
,
Yang Zhang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.09671
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.09671
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2411.09671
- https://arxiv.org/pdf/2411.09671
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4404451403
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4404451403Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2411.09671Digital Object Identifier
- Title
-
Inverse Nonlinear Scattering by a MetricWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-11-14Full publication date if available
- Authors
-
Peter Hintz, Antônio Sá Barreto, Günther Uhlmann, Yang ZhangList of authors in order
- Landing page
-
https://arxiv.org/abs/2411.09671Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2411.09671Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2411.09671Direct OA link when available
- Concepts
-
Inverse, Metric (unit), Nonlinear system, Inverse scattering problem, Scattering, Mathematics, Physics, Computer science, Optics, Engineering, Geometry, Quantum mechanics, Operations managementTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4404451403 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2411.09671 |
| ids.doi | https://doi.org/10.48550/arxiv.2411.09671 |
| ids.openalex | https://openalex.org/W4404451403 |
| fwci | |
| type | preprint |
| title | Inverse Nonlinear Scattering by a Metric |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T11575 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9470999836921692 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3109 |
| topics[0].subfield.display_name | Statistical and Nonlinear Physics |
| topics[0].display_name | Nonlinear Photonic Systems |
| topics[1].id | https://openalex.org/T10205 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9028000235557556 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2208 |
| topics[1].subfield.display_name | Electrical and Electronic Engineering |
| topics[1].display_name | Advanced Fiber Optic Sensors |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C207467116 |
| concepts[0].level | 2 |
| concepts[0].score | 0.6170521378517151 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q4385666 |
| concepts[0].display_name | Inverse |
| concepts[1].id | https://openalex.org/C176217482 |
| concepts[1].level | 2 |
| concepts[1].score | 0.5954651832580566 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q860554 |
| concepts[1].display_name | Metric (unit) |
| concepts[2].id | https://openalex.org/C158622935 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5677863359451294 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q660848 |
| concepts[2].display_name | Nonlinear system |
| concepts[3].id | https://openalex.org/C174558057 |
| concepts[3].level | 3 |
| concepts[3].score | 0.5399352312088013 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q11639409 |
| concepts[3].display_name | Inverse scattering problem |
| concepts[4].id | https://openalex.org/C191486275 |
| concepts[4].level | 2 |
| concepts[4].score | 0.43725109100341797 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q210028 |
| concepts[4].display_name | Scattering |
| concepts[5].id | https://openalex.org/C33923547 |
| concepts[5].level | 0 |
| concepts[5].score | 0.36911696195602417 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[5].display_name | Mathematics |
| concepts[6].id | https://openalex.org/C121332964 |
| concepts[6].level | 0 |
| concepts[6].score | 0.3610578179359436 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[6].display_name | Physics |
| concepts[7].id | https://openalex.org/C41008148 |
| concepts[7].level | 0 |
| concepts[7].score | 0.32689982652664185 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[7].display_name | Computer science |
| concepts[8].id | https://openalex.org/C120665830 |
| concepts[8].level | 1 |
| concepts[8].score | 0.18029120564460754 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q14620 |
| concepts[8].display_name | Optics |
| concepts[9].id | https://openalex.org/C127413603 |
| concepts[9].level | 0 |
| concepts[9].score | 0.1217317283153534 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[9].display_name | Engineering |
| concepts[10].id | https://openalex.org/C2524010 |
| concepts[10].level | 1 |
| concepts[10].score | 0.11034521460533142 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[10].display_name | Geometry |
| concepts[11].id | https://openalex.org/C62520636 |
| concepts[11].level | 1 |
| concepts[11].score | 0.05019059777259827 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[11].display_name | Quantum mechanics |
| concepts[12].id | https://openalex.org/C21547014 |
| concepts[12].level | 1 |
| concepts[12].score | 0.0 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q1423657 |
| concepts[12].display_name | Operations management |
| keywords[0].id | https://openalex.org/keywords/inverse |
| keywords[0].score | 0.6170521378517151 |
| keywords[0].display_name | Inverse |
| keywords[1].id | https://openalex.org/keywords/metric |
| keywords[1].score | 0.5954651832580566 |
| keywords[1].display_name | Metric (unit) |
| keywords[2].id | https://openalex.org/keywords/nonlinear-system |
| keywords[2].score | 0.5677863359451294 |
| keywords[2].display_name | Nonlinear system |
| keywords[3].id | https://openalex.org/keywords/inverse-scattering-problem |
| keywords[3].score | 0.5399352312088013 |
| keywords[3].display_name | Inverse scattering problem |
| keywords[4].id | https://openalex.org/keywords/scattering |
| keywords[4].score | 0.43725109100341797 |
| keywords[4].display_name | Scattering |
| keywords[5].id | https://openalex.org/keywords/mathematics |
| keywords[5].score | 0.36911696195602417 |
| keywords[5].display_name | Mathematics |
| keywords[6].id | https://openalex.org/keywords/physics |
| keywords[6].score | 0.3610578179359436 |
| keywords[6].display_name | Physics |
| keywords[7].id | https://openalex.org/keywords/computer-science |
| keywords[7].score | 0.32689982652664185 |
| keywords[7].display_name | Computer science |
| keywords[8].id | https://openalex.org/keywords/optics |
| keywords[8].score | 0.18029120564460754 |
| keywords[8].display_name | Optics |
| keywords[9].id | https://openalex.org/keywords/engineering |
| keywords[9].score | 0.1217317283153534 |
| keywords[9].display_name | Engineering |
| keywords[10].id | https://openalex.org/keywords/geometry |
| keywords[10].score | 0.11034521460533142 |
| keywords[10].display_name | Geometry |
| keywords[11].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[11].score | 0.05019059777259827 |
| keywords[11].display_name | Quantum mechanics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2411.09671 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2411.09671 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2411.09671 |
| locations[1].id | doi:10.48550/arxiv.2411.09671 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2411.09671 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5010293135 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-7346-9016 |
| authorships[0].author.display_name | Peter Hintz |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Hintz, Peter |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5029437420 |
| authorships[1].author.orcid | https://orcid.org/0000-0003-3689-3747 |
| authorships[1].author.display_name | Antônio Sá Barreto |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Barreto, Antônio Sá |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5109171815 |
| authorships[2].author.orcid | |
| authorships[2].author.display_name | Günther Uhlmann |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Uhlmann, Gunther |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5100354822 |
| authorships[3].author.orcid | https://orcid.org/0000-0003-4809-4563 |
| authorships[3].author.display_name | Yang Zhang |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Zhang, Yang |
| authorships[3].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2411.09671 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Inverse Nonlinear Scattering by a Metric |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T11575 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9470999836921692 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3109 |
| primary_topic.subfield.display_name | Statistical and Nonlinear Physics |
| primary_topic.display_name | Nonlinear Photonic Systems |
| related_works | https://openalex.org/W2084997001, https://openalex.org/W1967204941, https://openalex.org/W210855175, https://openalex.org/W2089624481, https://openalex.org/W2106029274, https://openalex.org/W2154204858, https://openalex.org/W2091948642, https://openalex.org/W2026391648, https://openalex.org/W2605384738, https://openalex.org/W2012899754 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2411.09671 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2411.09671 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2411.09671 |
| primary_location.id | pmh:oai:arXiv.org:2411.09671 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2411.09671 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2411.09671 |
| publication_date | 2024-11-14 |
| publication_year | 2024 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 7 |
| abstract_inverted_index.We | 0 |
| abstract_inverted_index.of | 5 |
| abstract_inverted_index.for | 17 |
| abstract_inverted_index.the | 2, 14 |
| abstract_inverted_index.from | 13 |
| abstract_inverted_index.wave | 19 |
| abstract_inverted_index.study | 1 |
| abstract_inverted_index.metric | 12 |
| abstract_inverted_index.inverse | 3 |
| abstract_inverted_index.problem | 4 |
| abstract_inverted_index.globally | 9 |
| abstract_inverted_index.operator | 16 |
| abstract_inverted_index.Lorentzian | 11 |
| abstract_inverted_index.equations. | 20 |
| abstract_inverted_index.hyperbolic | 10 |
| abstract_inverted_index.scattering | 15 |
| abstract_inverted_index.semilinear | 18 |
| abstract_inverted_index.determining | 6 |
| abstract_inverted_index.time-dependent | 8 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile |