{"id":"https://openalex.org/W7224833271","doi":"https://doi.org/10.48550/arxiv.2610.39437","title":"Singularity removal in nonlocal operator inequalities on domains and applications","display_name":"Singularity removal in nonlocal operator inequalities on domains and applications","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224833271","doi":"https://doi.org/10.48550/arxiv.2610.39437"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39437","pdf_url":"https://arxiv.org/pdf/2610.39437","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.39437","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015430983","display_name":"Davit Harutyunyan","orcid":"https://orcid.org/0000-0002-8685-2778","observed_orcids":["https://orcid.org/0000-0002-8685-2778"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Harutyunyan, Davit","raw_affiliation_strings":["University of California Santa Barbara ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Santa Barbara ,","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015430983"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.36719998717308044,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.36719998717308044,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.29490000009536743,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.07900000363588333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/moment-conditions","display_name":"moment conditions","score":0.6809999942779541},{"id":"https://openalex.org/keywords/peridynamics","display_name":"peridynamics","score":0.9150000214576721}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8009999990463257},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6312000155448914},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5543000102043152},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5231000185012817},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48080000281333923},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.44600000977516174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4120999872684479},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.3873000144958496},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30399999022483826},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.28600001335144043}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39437","pdf_url":"https://arxiv.org/pdf/2610.39437","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.39437","doi":"https://doi.org/10.48550/arxiv.2610.39437","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39437","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.39437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39437","pdf_url":"https://arxiv.org/pdf/2610.39437","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6591483528","display_name":"Analysis of Deformation, Buckling, and Fracture of Materials: From Composite Materials to Thin Domains","funder_award_id":"2206239","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224833271.pdf","grobid_xml":"https://content.openalex.org/works/W7224833271.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1977490087","https://openalex.org/W646400454","https://openalex.org/W6960046329","https://openalex.org/W3201613917","https://openalex.org/W2922165541","https://openalex.org/W3210010310","https://openalex.org/W2956811309","https://openalex.org/W2224254489","https://openalex.org/W7128587165","https://openalex.org/W2338377717"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"certain":[3],"classes":[4],"of":[5],"nonlocal":[6],"integral":[7],"estimates":[8],"on":[9,24],"domains,":[10],"involving":[11],"operators,":[12],"may":[13],"be":[14],"reduced":[15],"to":[16,29,51],"the":[17,21],"local":[18],"analogues":[19],"without":[20],"singular":[22],"weight":[23],"cubes.":[25],"The":[26],"theory":[27],"applies":[28],"two-sided":[30],"inverse":[31],"doubling":[32],"and":[33,40,62],"quasi-monotone":[34],"kernels":[35],"with":[36,41,45],"some":[37],"moment":[38],"conditions,":[39],"a":[42],"left-hand-side":[43],"operator":[44],"average":[46],"domain-bi-Lipschitz":[47],"properties.":[48],"Direct":[49],"applications":[50],"fractional":[52,59],"semi-norm":[53],"inequalities":[54,61],"in":[55],"Peridynamics,":[56],"such":[57],"as":[58],"Korn's":[60],"Geometric":[63],"Rigidity":[64],"Estimates":[65],"are":[66],"presented.":[67]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-10-31T00:00:00"}
