{"id":"https://openalex.org/W1981423997","doi":"https://doi.org/10.1016/s0096-3003(98)10010-3","title":"Stability of the solution of backward heat equation on a weak compactum","display_name":"Stability of the solution of backward heat equation on a weak compactum","publication_year":2000,"publication_date":"2000-05-01","ids":{"openalex":"https://openalex.org/W1981423997","doi":"https://doi.org/10.1016/s0096-3003(98)10010-3","mag":"1981423997"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(98)10010-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(98)10010-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"type":"article","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/A5071363841","display_name":"B\u00fcnyamin Y\u0131ld\u0131z","orcid":"https://orcid.org/0000-0002-0792-9520"},"institutions":[{"id":"https://openalex.org/I64134780","display_name":"Atat\u00fcrk University","ror":"https://ror.org/03je5c526","country_code":"TR","type":"education","lineage":["https://openalex.org/I64134780"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"B\u00fcnyamin Yildiz","raw_affiliation_strings":["Atat\u00fcrk \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey","Atat\u00fcrk \u00edniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey#TAB#"],"affiliations":[{"raw_affiliation_string":"Atat\u00fcrk \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey","institution_ids":["https://openalex.org/I64134780"]},{"raw_affiliation_string":"Atat\u00fcrk \u00edniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey#TAB#","institution_ids":["https://openalex.org/I64134780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069124613","display_name":"Murat \u00d6zdemir","orcid":"https://orcid.org/0000-0002-4928-3115"},"institutions":[{"id":"https://openalex.org/I64134780","display_name":"Atat\u00fcrk University","ror":"https://ror.org/03je5c526","country_code":"TR","type":"education","lineage":["https://openalex.org/I64134780"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Murat \u00d6zdemir","raw_affiliation_strings":["Atat\u00fcrk \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey","Atat\u00fcrk \u00edniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey#TAB#"],"affiliations":[{"raw_affiliation_string":"Atat\u00fcrk \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey","institution_ids":["https://openalex.org/I64134780"]},{"raw_affiliation_string":"Atat\u00fcrk \u00edniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, 25240 Erzurum, Turkey#TAB#","institution_ids":["https://openalex.org/I64134780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071363841"],"corresponding_institution_ids":["https://openalex.org/I64134780"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.13520731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"111","issue":"1","first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9958999752998352,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7864343523979187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7608722448348999},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.678282618522644},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6292884349822998},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5588943958282471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5531845092773438},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5090855956077576},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45458826422691345},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.44667407870292664},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4441800117492676},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.43405407667160034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38296523690223694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07792782783508301}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7864343523979187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7608722448348999},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.678282618522644},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6292884349822998},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5588943958282471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5531845092773438},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5090855956077576},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45458826422691345},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.44667407870292664},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4441800117492676},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.43405407667160034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38296523690223694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07792782783508301},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(98)10010-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(98)10010-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2088823348","https://openalex.org/W2971788173","https://openalex.org/W6767293667"],"related_works":["https://openalex.org/W2078366360","https://openalex.org/W2400581667","https://openalex.org/W2049761058","https://openalex.org/W4213342640","https://openalex.org/W2394174381","https://openalex.org/W2020390959","https://openalex.org/W2345019225","https://openalex.org/W2503576560","https://openalex.org/W2047706042","https://openalex.org/W2892071505"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}