{"id":"https://openalex.org/W4406692220","doi":null,"title":"Uniqueness of solution in a rectangular domain of an evolution dam problem with heterogeneous coefficients","display_name":"Uniqueness of solution in a rectangular domain of an evolution dam problem with heterogeneous coefficients","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W4406692220"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:ecdc852b629b4c9b850993afb535dbc8","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/ecdc852b629b4c9b850993afb535dbc8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2018, Iss 169,, Pp 1-17 (2018)","raw_type":"article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/ecdc852b629b4c9b850993afb535dbc8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030324979","display_name":"Elmehdi Zaouche","orcid":"https://orcid.org/0000-0001-7777-9284","observed_orcids":["https://orcid.org/0000-0001-7777-9284"]},"institutions":[{"id":"https://openalex.org/I4210157185","display_name":"University of Eloued","ror":"https://ror.org/05416s909","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210157185"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Elmehdi Zaouche","raw_affiliation_strings":["\n Univ. d'EL Oued, EL Oued, Algerie\n"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Univ. d'EL Oued, EL Oued, Algerie\n","institution_ids":["https://openalex.org/I4210157185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030324979"],"corresponding_institution_ids":["https://openalex.org/I4210157185"],"apc_list":null,"apc_paid":null,"fwci":0.4693,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60445493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9276999831199646,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9276999831199646,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.04650000110268593,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00279999990016222,"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/uniqueness-of-solutions","display_name":"uniqueness of solutions","score":0.9279999732971191},{"id":"https://openalex.org/keywords/heterogeneous-coefficients","display_name":"heterogeneous coefficients","score":0.9860000014305115},{"id":"https://openalex.org/keywords/rectangular-domain","display_name":"rectangular domain","score":0.7400000095367432},{"id":"https://openalex.org/keywords/test-function-method","display_name":"test function method","score":0.5669999718666077},{"id":"https://openalex.org/keywords/nonlinear-parabolic-equations","display_name":"nonlinear parabolic equations","score":0.4339999854564667},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"free boundary problem","score":0.5220000147819519}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8803126215934753},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6823540329933167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5557462573051453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4687780439853668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3800787627696991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36778461933135986}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:doaj.org/article:ecdc852b629b4c9b850993afb535dbc8","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/ecdc852b629b4c9b850993afb535dbc8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2018, Iss 169,, Pp 1-17 (2018)","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:ecdc852b629b4c9b850993afb535dbc8","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/ecdc852b629b4c9b850993afb535dbc8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2018, Iss 169,, Pp 1-17 (2018)","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3103661062","https://openalex.org/W4207032559","https://openalex.org/W3035644880","https://openalex.org/W2268531479","https://openalex.org/W4386001993","https://openalex.org/W2021382336","https://openalex.org/W200706677","https://openalex.org/W1970489460","https://openalex.org/W2032130830","https://openalex.org/W2252317573"],"abstract_inverted_index":{"In":[0],"this":[1,29],"article,":[2],"we":[3],"consider":[4],"an":[5],"evolution":[6],"dam":[7],"problem":[8],"with":[9],"heterogeneous":[10],"coefficients":[11],"of":[12,20,25,43],"type":[13],"$a(x_1)(u_{x_2}+\\chi)_{x_2}-\\chi_t=0$":[14],"in":[15],"a":[16],"bounded":[17],"rectangular":[18],"domain":[19],"$\\mathbb{R}^2$.":[21],"We":[22],"establish":[23],"uniqueness":[24],"the":[26,36,41],"solution":[27],"for":[28],"problem.":[30],"Our":[31],"proofs":[32],"are":[33],"based":[34],"on":[35],"test":[37],"function":[38],"by":[39],"using":[40],"method":[42],"doubling":[44],"variables.":[45]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-01-23T00:00:00"}