{“id”:“https://openalex.org/W2999232206“,”doi“:”https://doi.org/10.1016/j.aml.2020.106211“,”title“:“具有渐近正则非线性的拟线性抛物方程的Sobolev正则性”,“display_name”:“具有渐进正则非线性的准线性抛物型方程的Sobolev正则度”,“publication_year”:2020,“publitation_date”:“2020-05-01”,“ids”:{“openalex”:“https://openalex.org/W2999232206“,”doi“:”https://doi.org/10.1016/j.aml.2020.106211“,”mag“:”2999232206“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.aml.2020.106211“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S7571225“,”display_name“:”应用数学字母“,”issn_l“:”0893-9659“,”isn“:[”08939-9659“,”1873-5452“],”is_oa“:false,”is_in_doaj“:false,”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”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”article“,”type_crossref“:“journal-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”hybrid“,”oa_url“:”https://doi.org/10.1016/j.aml..2020.106211“,”any_repository_has_fulltext“:false},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5016722530“,”display_name“:”Junjie Zhang“,”orcid“:”https://orcid.org/0000-0002-7145-8233},“机构”:[{“id”:https://openalex.org/I94611258“,”display_name“:”河北师范大学“,”ror“:”https://ror.org/004rbbw49“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I94611258“]}],”countries“:[”CN“],”is_corresponding“:true,”raw_author_name“:”Junjie Zhang“,”raw关联字符串“:[“河北师范大学数学学院,河北石家庄050016,中国”]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5028331125“,”display_name“:”神州筝“,”兽人“:”https://orcid.org/0000-0002-7909-0517},“机构”:[{“id”:https://openalex.org/I21193070“,”display_name“:”北京交通大学“,”ror“:”https://ror.org/01yj56c84“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I21193070“]}],”countries“:[”CN“],”is_corresponding“:false,”raw_author_name“:”Shenzhou Zheng“,”rau_affiliation_strings“:【”北京交通大学数学系,北京100044,中国“】}],“countries_distict_count”:1,“institutions_disticent_count”:2,“corresponding_author_ids”:[”https://openalex.org/A5016722530“],”对应的机构ID“:[”https://openalex.org/I94611258“],”apc_list“:{”value“:3540,”currency“:”USD“,”value_USD“:3540',”provenance“:”doaj“},”apc _payed“:{'value':3540],”curency“:”美元“,”value_USD”:3540`,“provenance”:“doaj”},“has_fulltext”:false,“cited_by_count”:0,“citected_by_percentile_year”:{“min”:0、“max”:66},‘biblio’:{‘volume’:“103”,“issue”:null,“first_page”:“106211”,“last_page”:“106 211”},“is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10194“,”display_name“:”分数拉普拉斯算子“,”score“:0.9997,”subfield“:{”id“:”https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10194“,”display_name“:”分数拉普拉斯算子“,”score“:0.9997,”subfield“:{”id“:”https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11205“,”“display_name”:“数学物理与成像中的反问题”,“score”:0.9972,“subfield”:{“id”:“https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12100“,”“display_name”:“异构系统的多尺度方法”,“score”:0.9963,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/sobolev-spaces网站“,”display_name“:”Sobolev Spaces“,”score“:0.524597},{”id“:”https://openalex.org/keywords/非线性方程“,”display_name“:”非线性方程“,”score“:0.517246},{”id“:”https://openalex.org/keywords/calder\u00f3n's-problem“,”display_name“:”Calder\u00f3dn的问题“,”score“:0.511479},{”id“:”https://openalex.org/keywords/tikhonov-regularization(https://openalex.org/keywords/tikhonov-regularization)“,”display_name“:”Tikhonov正则化“,”score“:0.505353}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.93831414},{”id“:”https://openalex.org/C99730327,“wikidata”:https://www.wikidata.org/wiki/Q1501536“,”display_name“:”Sobolev space“,”level“:2,”score“:0.8465517},{”id“:”https://openalex.org/C22324862,“wikidata”:https://www.wikidata.org/wiki/Q652707“,”display_name“:”Lipschitz continuity“,”level“:2,”score“:0.8036022},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.6552485},{”id“:”https://openalex.org/C158622935,“wikidata”:https://www.wikidata.org/wiki/Q660848“,”display_name“:”非线性系统“,”level“:2,”score“:0.61957824},{”id“:”https://openalex.org/C2778572836,“wikidata”:https://www.wikidata.org/wiki/Q380933“,”display_name“:”空格(标点符号)“,”level“:2,”score“:0.53478265},{”id“:”https://openalex.org/C186867907,“wikidata”:https://www.wikidata.org/wiki/Q1575416“,”display_name“:”抛物型偏微分方程“,”level“:3,”score“:0.48070508},{”id“:”https://openalex.org/C14036430网址,“wikidata”:https://www.wikidata.org/wiki/Q3736076“,”display_name“:”功能(生物学)“,”级别“:2,”分数“:0.45031384},{”id“:”https://openalex.org/C2777299769,“wikidata”:https://www.wikidata.org/wiki/Q3707858“,”display_name“:”Type(biology)“,”level“:2,”score“:0.44428787},{”id“:”https://openalex.org/C553313952,“wikidata”:https://www.wikidata.org/wiki/Q1537963“,”display_name“:”H\u00f6lder condition“,”level“:2,”score“:0.4353897},{”id“:”https://openalex.org/C93779851,“wikidata”:https://www.wikidata.org/wiki/Q271977“,”display_name“:”偏微分方程“,”level“:2,”score“:0.21398911},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944“,”display_name“:”量子力学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”级别“:0,”分数“:0.0},{”id“:”https://openalex.org/C18903297,“wikidata”:https://www.wikidata.org/wiki/Q7150“,”display_name“:”生态学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C41895202,“wikidata”:https://www.wikidata.org/wiki/Q8162“,”display_name“:”语言学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C138885662,“wikidata”:https://www.wikidata.org/wiki/Q5891“,”display_name“:”哲学“,”等级“:0,”分数“:0.0},{”id“:”https://openalex.org/C78458016,“wikidata”:https://www.wikidata.org/wiki/Q840400“,”display_name“:”进化生物学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C86803240,“wikidata”:https://www.wikidata.org/wiki/Q420“,”display_name“:”Biology“,”level“:0,”score“:0.0}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.aml.2020.106211“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S7571225“,”display_name“:”应用数学字母“,”issn_l“:”0893-9659“,”isn“:[”08939-9659“,”1873-5452“],”is_oa“:false,”is_in_doaj“:false,”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”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true}],”best_oa_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.aml.2020.106211“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S7571225“,”display_name“:”应用数学字母“,”issn_l“:”0893-9659“,”isn“:[”08939-9659“,”1873-5452“],”is_oa“:false,”is_in_doaj“:false,”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“:”发行商特定oa“,”license_id“:”https://openalex.org/licenses/publisher-specific-oa网址“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:{”funder“:”https://openalex.org/F4320310908“,”“funder_display_name”:“河北科技师范大学”,“award_id”:“L2019B02”},{“funder”:“https://openalex.org/F4320322163“,”funder_display_name“:”河北省自然科学基金“,”award_id“:”A2019205218“}],”datasets“:[],”versions“:[],”referenced_works_count“:16,”referrenced_works“:[”https://openalex.org/W2007727618“,”https://openalex.org/W2033200134“,”https://openalex.org/W2047102860“,”https://openalex.org/W2049579190“,”https://openalex.org/W2050726222“,”https://openalex.org/W2066715648“,”https://openalex.org/W2069330133“,”https://openalex.org/W2070763384“,”https://openalex.org/W2080684206“,”https://openalex.org/W2123762546“,”https://openalex.org/W2133248765“,”https://openalex.org/W2287647962“,”https://openalex.org/W2306418425“,”https://openalex.org/W2596366197“,”https://openalex.org/W2711008478“,”https://openalex.org/W360171155“],”related_works“:[”https://openalex.org/W65006171网址“,”https://openalex.org/W4200631658“,”https://openalex.org/W3160070104“,”https://openalex.org/W31024129“,”https://openalex.org/W2963855110“,”https://openalex.org/W2802818731“,”https://openalex.org/W2771381403“,”https://openalex.org/W2499849978“,”https://openalex.org/W2074343200“,”https://openalex.org/W2033033798“],”ngrams_url“:”https://api.openalex.org/works/W2999232206/ngrams网站“,”“abstract_inverted_index”:{“We”:[0],“prove”:[1],“an”:[2,22],“internal”:[3],“Calder\u00f3n\u2013Zygmund”:[4],“type”:/5],“estimate”:[6],“in”:[7,52],“Sobolev”:[8],“space”:/9],“for”:[10],“the”:[11,36,43,53],“spatial”:[12],“gradient”:[13],“of”“:[14],”弱“:[15],”解“:[16],”to“:[17,41],”拟线性“:[18],”抛物线“:[19],”方程“:[20],”带有“:[21],“渐近”:[23],“正则”:[24,29],“非线性”:[25,37],“by”:[26],“构造”:[27],“a”:[28],“问题”:[30],“via”:[31],“泊松”:[32],“公式”。“:[33],“In”:[34],“addition”,“:[35],“is”:[38],“alsor”:[39],“assumed”:[40],“satisfy”:[42],“uniform”:%44],“ellipity,”:[45],“p-growth”:[46],“and”:[47],“local”:[48],“Lipschitz”:[49],“continuity”:[50],“conditions”:[51],“unknown”:[54],“function”。“:[55]},”cited_by_api_url“:”https://api.openalex.org/works?filter=引用:W2999232206“,”counts_by_year“:[],”updated_date“:”2024-05-12T06:59:37.111528“,”created_date“:”2020-01-23“}