{"id":"https://openalex.org/W2039602057","doi":"https://doi.org/10.1016/s0893-9659(01)00111-2","title":"Blow-up of solutions for a class of semilinear reaction diffusion equations with mixed boundary conditions","display_name":"Blow-up of solutions for a class of semilinear reaction diffusion equations with mixed boundary conditions","publication_year":2002,"publication_date":"2002-02-01","ids":{"openalex":"https://openalex.org/W2039602057","doi":"https://doi.org/10.1016/s0893-9659(01)00111-2","mag":"2039602057"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(01)00111-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(01)00111-2","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"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 Letters","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/A5014457949","display_name":"Juntang Ding","orcid":"https://orcid.org/0000-0002-3616-5785"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Juntang Ding","raw_affiliation_strings":["Department of Mathematics, Shanxi University Taiyuan, Shanxi 030006, P.R. China","Department of Mathematics, Shanxi University, Taiyuan, Shanxi, 030006, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanxi University Taiyuan, Shanxi 030006, P.R. China","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"Department of Mathematics, Shanxi University, Taiyuan, Shanxi, 030006, P.R. China#TAB#","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014457949"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":1.2739,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79873068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"2","first_page":"159","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9955999851226807,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9091032147407532},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7169445753097534},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.7095280885696411},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5558837652206421},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5170319676399231},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5155829787254333},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45936909317970276},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3907148838043213},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3730071187019348},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07572421431541443},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.040635883808135986}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9091032147407532},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7169445753097534},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.7095280885696411},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5558837652206421},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5170319676399231},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5155829787254333},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45936909317970276},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3907148838043213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3730071187019348},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07572421431541443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.040635883808135986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0893-9659(01)00111-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(01)00111-2","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"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 Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1602967628","https://openalex.org/W2025362922","https://openalex.org/W2046904024","https://openalex.org/W2083061547","https://openalex.org/W3209611505"],"related_works":["https://openalex.org/W2368454205","https://openalex.org/W2386796262","https://openalex.org/W2002614776","https://openalex.org/W2029424603","https://openalex.org/W2044899742","https://openalex.org/W2370467235","https://openalex.org/W2989824750","https://openalex.org/W2144240251","https://openalex.org/W2811388477","https://openalex.org/W2111215486"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}