{"id":"https://openalex.org/W2005240834","doi":"https://doi.org/10.1016/s0362-546x(97)00679-2","title":"Monotone method for diffusion equations with nonlinear diffusion coefficients","display_name":"Monotone method for diffusion equations with nonlinear diffusion coefficients","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2005240834","doi":"https://doi.org/10.1016/s0362-546x(97)00679-2","mag":"2005240834"},"language":"en","primary_location":{"id":"doi:10.1016/s0362-546x(97)00679-2","doi":"https://doi.org/10.1016/s0362-546x(97)00679-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0362-546x(97)00679-2","pdf_url":null,"source":{"id":"https://openalex.org/S70695507","display_name":"Nonlinear Analysis","issn_l":"0362-546X","issn":["0362-546X","1873-5215"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"Nonlinear Analysis: Theory, Methods & Applications","raw_type":"journal-article"},"volume":null,"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/A5100420025","display_name":"Jianhua Wang","orcid":"https://orcid.org/0000-0001-7578-6579","observed_orcids":["https://orcid.org/0000-0001-7578-6579"]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jianhua Wang","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100420025"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.7101,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.66626127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"34","issue":"1","first_page":"113","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.5806000232696533,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.5806000232696533,"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":0.3393999934196472,"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":0.011500000022351742,"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/monotone-method","display_name":"monotone method","score":0.8960000276565552},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"diffusion equation","score":0.8460000157356262},{"id":"https://openalex.org/keywords/nonlinear-diffusion-coefficient","display_name":"nonlinear diffusion coefficient","score":0.9789999723434448},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.7129999995231628},{"id":"https://openalex.org/keywords/nonlinear-parabolic-equations","display_name":"nonlinear parabolic equations","score":0.6399999856948853}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7475243806838989},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7105647325515747},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6012714505195618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.50079345703125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4543551206588745},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.44083571434020996},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3609185516834259},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3479864299297333},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.22502604126930237},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2216547727584839},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09967395663261414},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0692383348941803},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.049779802560806274},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0362-546x(97)00679-2","doi":"https://doi.org/10.1016/s0362-546x(97)00679-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0362-546x(97)00679-2","pdf_url":null,"source":{"id":"https://openalex.org/S70695507","display_name":"Nonlinear Analysis","issn_l":"0362-546X","issn":["0362-546X","1873-5215"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"Nonlinear Analysis: Theory, Methods & Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W621234224","https://openalex.org/W1550364336","https://openalex.org/W1591593323","https://openalex.org/W1866311589","https://openalex.org/W1969412641","https://openalex.org/W1984815757","https://openalex.org/W1990710865","https://openalex.org/W2024299681","https://openalex.org/W2318392277","https://openalex.org/W2369386221","https://openalex.org/W4234134080","https://openalex.org/W4236112393","https://openalex.org/W4237857751","https://openalex.org/W4251728373","https://openalex.org/W4292360407"],"related_works":["https://openalex.org/W2087855825","https://openalex.org/W1509548334","https://openalex.org/W1973827263","https://openalex.org/W2320116587","https://openalex.org/W4385847186","https://openalex.org/W4234896028","https://openalex.org/W2356639438","https://openalex.org/W1976810887","https://openalex.org/W3098478673","https://openalex.org/W2021514073"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-09-22T17:25:34.749102","created_date":"2025-10-10T00:00:00"}