Pub Date : 2016-08-01DOI: 10.1007/s13373-016-0089-y
V. Ivrii
{"title":"100 years of Weyl’s law","authors":"V. Ivrii","doi":"10.1007/s13373-016-0089-y","DOIUrl":"https://doi.org/10.1007/s13373-016-0089-y","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"28 1","pages":"379-452"},"PeriodicalIF":1.2,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89747784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-25DOI: 10.1007/S13373-017-0105-X
J. Behrndt, V. Derkach, F. Gesztesy, M. Mitrea
{"title":"Coupling of symmetric operators and the third Green identity","authors":"J. Behrndt, V. Derkach, F. Gesztesy, M. Mitrea","doi":"10.1007/S13373-017-0105-X","DOIUrl":"https://doi.org/10.1007/S13373-017-0105-X","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"26 1","pages":"49-80"},"PeriodicalIF":1.2,"publicationDate":"2016-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78708386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-11DOI: 10.1142/S1664360719500152
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the construction with jumps). This work is devoted to prove the weak and strong maximum principles for ‘parabolic’ equations with nonlocal Waldenfels operators. Applications in stochastic differential equations with [Formula: see text]-stable Lévy processes are presented to illustrate the maximum principles.
{"title":"Maximum principles for nonlocal parabolic Waldenfels operators","authors":"Qiao Huang, Jinqiao Duan, Jiang-Lun Wu","doi":"10.1142/S1664360719500152","DOIUrl":"https://doi.org/10.1142/S1664360719500152","url":null,"abstract":"As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the construction with jumps). This work is devoted to prove the weak and strong maximum principles for ‘parabolic’ equations with nonlocal Waldenfels operators. Applications in stochastic differential equations with [Formula: see text]-stable Lévy processes are presented to illustrate the maximum principles.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"4 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2016-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76071791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-01DOI: 10.1007/S13373-015-0078-6
S. Li
{"title":"Plurisubharmonicity for the solution of the Fefferman equation and applications","authors":"S. Li","doi":"10.1007/S13373-015-0078-6","DOIUrl":"https://doi.org/10.1007/S13373-015-0078-6","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"117 1-2","pages":"287-309"},"PeriodicalIF":1.2,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S13373-015-0078-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72470418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-06-24DOI: 10.1007/s13373-016-0091-4
V. Belyaev, R. Grigorchuk, P. Shumyatsky
{"title":"On just-infiniteness of locally finite groups and their $$C^*$$C∗-algebras","authors":"V. Belyaev, R. Grigorchuk, P. Shumyatsky","doi":"10.1007/s13373-016-0091-4","DOIUrl":"https://doi.org/10.1007/s13373-016-0091-4","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"78 1","pages":"167-175"},"PeriodicalIF":1.2,"publicationDate":"2016-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72887329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-06-10DOI: 10.1007/S13373-016-0085-2
C. Martínez, E. Zelmanov
{"title":"On Lie rings of torsion groups","authors":"C. Martínez, E. Zelmanov","doi":"10.1007/S13373-016-0085-2","DOIUrl":"https://doi.org/10.1007/S13373-016-0085-2","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"26 1","pages":"371-377"},"PeriodicalIF":1.2,"publicationDate":"2016-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82854674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-05-01DOI: 10.1007/s13373-018-0116-2
Yuan-yuan Chen, J. Toft, P. Wahlberg
{"title":"The Weyl product on quasi-Banach modulation spaces","authors":"Yuan-yuan Chen, J. Toft, P. Wahlberg","doi":"10.1007/s13373-018-0116-2","DOIUrl":"https://doi.org/10.1007/s13373-018-0116-2","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"16 1","pages":"1-31"},"PeriodicalIF":1.2,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86673569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-04-10DOI: 10.1007/s13373-018-0120-6
Hongjie Dong, Doyoon Kim
{"title":"$$L_q$$Lq-estimates for stationary Stokes system with coefficients measurable in one direction","authors":"Hongjie Dong, Doyoon Kim","doi":"10.1007/s13373-018-0120-6","DOIUrl":"https://doi.org/10.1007/s13373-018-0120-6","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"16 1","pages":"1-32"},"PeriodicalIF":1.2,"publicationDate":"2016-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72832525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-04-01DOI: 10.1007/S13373-015-0067-9
Oscar Mickelin
{"title":"Lieb–Thirring inequalities for generalized magnetic fields","authors":"Oscar Mickelin","doi":"10.1007/S13373-015-0067-9","DOIUrl":"https://doi.org/10.1007/S13373-015-0067-9","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"37 1","pages":"1-14"},"PeriodicalIF":1.2,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78355135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-03-28DOI: 10.1007/S13373-016-0081-6
W. A. Kirk, N. Shahzad
{"title":"Continuation methods in certain metric and geodesic spaces","authors":"W. A. Kirk, N. Shahzad","doi":"10.1007/S13373-016-0081-6","DOIUrl":"https://doi.org/10.1007/S13373-016-0081-6","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"35 1","pages":"311-323"},"PeriodicalIF":1.2,"publicationDate":"2016-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84356208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}