{"id":"https://openalex.org/W2078688982","doi":"https://doi.org/10.1070/sm1975v026n04abeh002491","title":"ON LOCAL SOLVABILITY OF EQUATIONS OF QUASI-PRINCIPAL TYPE","display_name":"ON LOCAL SOLVABILITY OF EQUATIONS OF QUASI-PRINCIPAL TYPE","publication_year":1975,"publication_date":"1975-04-30","ids":{"openalex":"https://openalex.org/W2078688982","doi":"https://doi.org/10.1070/sm1975v026n04abeh002491","mag":"2078688982"},"language":"en","primary_location":{"id":"doi:10.1070/sm1975v026n04abeh002491","doi":"https://doi.org/10.1070/sm1975v026n04abeh002491","is_oa":false,"landing_page_url":"https://doi.org/10.1070/sm1975v026n04abeh002491","pdf_url":null,"source":{"id":"https://openalex.org/S203174764","display_name":"Mathematics of the USSR-Sbornik","issn_l":"0025-5734","issn":["0025-5734","2169-5288"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of the USSR-Sbornik","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2078688982"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074320194","display_name":"Nikolai Alekseevich Shananin","orcid":"https://orcid.org/0000-0001-7010-7813","observed_orcids":["https://orcid.org/0000-0001-7010-7813"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"N A \u0160ananin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5074320194"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5335,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.55575662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"4","first_page":"458","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9365000128746033,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9365000128746033,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.04479999840259552,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.006099999882280827,"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/local-solvability","display_name":"local solvability","score":0.9869999885559082},{"id":"https://openalex.org/keywords/partial-differential-equations","display_name":"partial differential equations","score":0.7749999761581421},{"id":"https://openalex.org/keywords/integral-operators","display_name":"integral operators","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6905097365379333},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.6535053253173828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.580880343914032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3922945559024811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3615683913230896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20446595549583435},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.14669761061668396},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1070/sm1975v026n04abeh002491","doi":"https://doi.org/10.1070/sm1975v026n04abeh002491","is_oa":false,"landing_page_url":"https://doi.org/10.1070/sm1975v026n04abeh002491","pdf_url":null,"source":{"id":"https://openalex.org/S203174764","display_name":"Mathematics of the USSR-Sbornik","issn_l":"0025-5734","issn":["0025-5734","2169-5288"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of the USSR-Sbornik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1995730237","https://openalex.org/W2016716371","https://openalex.org/W2033287169","https://openalex.org/W2046158776","https://openalex.org/W2097011226","https://openalex.org/W2162824158"],"related_works":["https://openalex.org/W1978524893","https://openalex.org/W2042140485","https://openalex.org/W2004746344","https://openalex.org/W4403810027","https://openalex.org/W2348435981","https://openalex.org/W184135138","https://openalex.org/W1995920512","https://openalex.org/W2049083434","https://openalex.org/W1655680231","https://openalex.org/W2067174220"],"abstract_inverted_index":{"The":[0],"question":[1],"of":[2,9,26,28,32,42,58],"local":[3,19],"solvability":[4,51],"for":[5],"a":[6,18],"certain":[7],"class":[8,17],"partial":[10],"differential":[11],"equations":[12],"is":[13,21,48,52],"considered.":[14],"For":[15],"this":[16],"parametrix":[20,47],"constructed":[22],",":[23,38],"the":[24,29,33,40,43,46,56],"points":[25],"singularity":[27],"corresponding":[30],"kernel":[31],"integral":[34],"operator":[35,44],"are":[36],"indicated":[37],"and":[39],"boundedness":[41],"realizing":[45],"demonstrated.":[49],"Local":[50],"then":[53],"established":[54],"on":[55],"basis":[57],"these":[59],"results.Bibliography:":[60],"12":[61],"titles.":[62]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
