uni-leipzig-open-access/json/j.jde.2023.05.046
2024-01-25 14:46:53 +01:00

1 line
No EOL
19 KiB
Text

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T04:23:46Z","timestamp":1688617426500},"reference-count":54,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Differential Equations"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1016\/j.jde.2023.05.046","type":"journal-article","created":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T09:18:44Z","timestamp":1688030324000},"page":"405-423","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Quantitative unique continuation for spectral subspaces of Schr\u00f6dinger operators with singular potentials"],"prefix":"10.1016","volume":"369","author":[{"given":"Alexander","family":"Dicke","sequence":"first","affiliation":[]},{"given":"Christian","family":"Rose","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-5979-5587","authenticated-orcid":false,"given":"Albrecht","family":"Seelmann","sequence":"additional","affiliation":[]},{"given":"Martin","family":"Tautenhahn","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0010","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1002\/cpa.3160350206","article-title":"Brownian motion and Harnack inequality for Schr\u00f6dinger operators","volume":"35","author":"Aizenman","year":"1982","journal-title":"Commun. Pure Appl. Math."},{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0020","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/s00222-004-0435-7","article-title":"On localization in the continuous Anderson-Bernoulli model in higher dimension","volume":"161","author":"Bourgain","year":"2005","journal-title":"Invent. Math."},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0030","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s00222-012-0440-1","article-title":"Bounds on the density of states for Schr\u00f6dinger operators","volume":"194","author":"Bourgain","year":"2013","journal-title":"Invent. Math."},{"key":"10.1016\/j.jde.2023.05.046_br0040","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5802\/jep.62","article-title":"Null-controllability of hypoelliptic quadratic differential equations","volume":"5","author":"Beauchard","year":"2018","journal-title":"J. \u00c9c. Polytech. Math."},{"key":"10.1016\/j.jde.2023.05.046_br0050","article-title":"Schr\u00f6dinger Operators with Application to Quantum Mechanics and Global Geometry","author":"Cycon","year":"1987"},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0060","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1215\/S0012-7094-07-14032-8","article-title":"An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schr\u00f6dinger operators","volume":"140","author":"Combes","year":"2007","journal-title":"Duke Math. J."},{"issue":"218","key":"10.1016\/j.jde.2023.05.046_br0070","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/PL00005555","article-title":"The Lp-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random Schr\u00f6dinger operators","volume":"70","author":"Combes","year":"2001","journal-title":"Commun. Math. Phys."},{"issue":"17","key":"10.1016\/j.jde.2023.05.046_br0080","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1090\/S0002-9939-1966-0203464-1","article-title":"On majorization, factorization, and range inclusion of operators on Hilbert space","volume":"2","author":"Douglas","year":"1966","journal-title":"Proc. Am. Math. Soc."},{"issue":"15","key":"10.1016\/j.jde.2023.05.046_br0090","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1137\/0315015","article-title":"A general theory of observation and control","volume":"2","author":"Dolecki","year":"1977","journal-title":"SIAM J. Control Optim."},{"issue":"5","key":"10.1016\/j.jde.2023.05.046_br0100","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1002\/mana.201800420","article-title":"On null-controllability of the heat equation on infinite strips and control cost estimate","volume":"294","author":"Egidi","year":"2021","journal-title":"Math. Nachr."},{"key":"10.1016\/j.jde.2023.05.046_br0110","series-title":"Control Theory of Infinite-Dimensional Systems","first-page":"117","article-title":"Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains","volume":"vol. 277","author":"Egidi","year":"2020"},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0120","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmaa.2021.125149","article-title":"An abstract Logvinenko-Sereda type theorem for spectral subspaces","volume":"500","author":"Egidi","year":"2021","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.jde.2023.05.046_br0130","series-title":"Inverse Problems: Theory and Applications","first-page":"79","article-title":"Optimal three cylinder inequalities for solutions to parabolic equations with Lipschitz leading coefficients","volume":"vol. 333","author":"Escauriaza","year":"2003"},{"issue":"12","key":"10.1016\/j.jde.2023.05.046_br0140","doi-asserted-by":"crossref","first-page":"3757","DOI":"10.1007\/s00023-020-00957-7","article-title":"Scale-free unique continuation estimates and Logvinenko-Sereda Theorems on the torus","volume":"21","author":"Egidi","year":"2020","journal-title":"Ann. Henri Poincar\u00e9"},{"key":"10.1016\/j.jde.2023.05.046_br0150","article-title":"Controllability of Evolution Equations","volume":"vol. 34","author":"Fursikov","year":"1996"},{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0160","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1007\/s002200100518","article-title":"Bootstrap multiscale analysis and localization in random media","volume":"222","author":"Germinet","year":"2001","journal-title":"Commun. Math. Phys."},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0170","doi-asserted-by":"crossref","first-page":"53","DOI":"10.4171\/JEMS\/356","article-title":"A comprehensive proof of localization for continuous Anderson models with singular random potentials","volume":"15","author":"Germinet","year":"2013","journal-title":"J. Eur. Math. Soc."},{"key":"10.1016\/j.jde.2023.05.046_br0180","series-title":"Harmonic Analysis and Partial Differential Equations","article-title":"Nodal sets of sums of eigenfunctions","author":"Jerison","year":"1999"},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0190","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1070\/SM1973v021n01ABEH002004","article-title":"Equivalent norms in spaces of entire functions","volume":"21","author":"Kacnel'son","year":"1973","journal-title":"Sb. Math."},{"key":"10.1016\/j.jde.2023.05.046_br0200","series-title":"Perturbation Theory for Linear Operators","author":"Kato","year":"1980"},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0210","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1007\/s00220-013-1795-x","article-title":"Unique continuation principle for spectral projections of Schr\u00f6dinger operators and optimal Wegner estimates for non-ergodic random Schr\u00f6dinger operators","volume":"323","author":"Klein","year":"2013","journal-title":"Commun. Math. Phys."},{"issue":"7","key":"10.1016\/j.jde.2023.05.046_br0220","doi-asserted-by":"crossref","first-page":"2139","DOI":"10.1088\/0305-4470\/15\/7\/025","article-title":"On the density of states of Schr\u00f6dinger operators with a random potential","volume":"15","author":"Kirsch","year":"1982","journal-title":"J. Phys. A"},{"key":"10.1016\/j.jde.2023.05.046_br0230","series-title":"Some estimates of Fourier transforms","author":"Kovrijkine","year":"2000"},{"issue":"10","key":"10.1016\/j.jde.2023.05.046_br0240","doi-asserted-by":"crossref","first-page":"3037","DOI":"10.1090\/S0002-9939-01-05926-3","article-title":"Some results related to the Logvinenko-Sereda theorem","volume":"129","author":"Kovrijkine","year":"2001","journal-title":"Proc. Am. Math. Soc."},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0250","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1007\/s002200050399","article-title":"Anderson localization for random Schr\u00f6dinger operators with long range interactions","volume":"195","author":"Kirsch","year":"1998","journal-title":"Commun. Math. Phys."},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0260","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1515\/rose.1998.6.3.241","article-title":"Localization for random perturbations of periodic Schr\u00f6dinger operators","volume":"6","author":"Kirsch","year":"1998","journal-title":"Random Oper. Stoch. Equ."},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0270","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1002\/1097-0312(200103)54:3<339::AID-CPA3>3.0.CO;2-D","article-title":"Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients","volume":"54","author":"Koch","year":"2001","journal-title":"Commun. Pure Appl. Math."},{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0280","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1090\/proc12734","article-title":"Quantitative unique continuation principle for Schr\u00f6dinger operators with singular potentials","volume":"144","author":"Klein","year":"2016","journal-title":"Proc. Am. Math. Soc."},{"key":"10.1016\/j.jde.2023.05.046_br0290","author":"Lebeau"},{"issue":"1\u20132","key":"10.1016\/j.jde.2023.05.046_br0300","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1080\/03605309508821097","article-title":"Contr\u00f4le exact de l\u00e9quation de la chaleur","volume":"20","author":"Lebeau","year":"1995","journal-title":"Commun. Partial Differ. Equ."},{"issue":"20","key":"10.1016\/j.jde.2023.05.046_br0310","first-page":"102","article-title":"Equivalent norms in spaces of entire functions of exponential type","volume":"175","author":"Logvinenko","year":"1974","journal-title":"Teor. Funkc. Funkc. Anal. Ih Prilo\u017e."},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0320","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s002050050078","article-title":"Null-controllability of a system of linear thermoelasticity","volume":"141","author":"Lebeau","year":"1998","journal-title":"Arch. Ration. Mech. Anal."},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0330","first-page":"1465","article-title":"A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups","volume":"14","author":"Miller","year":"2010","journal-title":"Discrete Contin. Dyn. Syst., Ser. B"},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0340","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s11854-022-0220-9","article-title":"Localisation for Delone operators via Bernoulli randomisation","volume":"147","author":"M\u00fcller","year":"2022","journal-title":"J. Anal. Math."},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0350","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1017\/prm.2018.55","article-title":"A quantitative Carleman estimate for second-order elliptic operators","volume":"149","author":"Naki\u0107","year":"2019","journal-title":"Proc. R. Soc. Edinb., Sect. A"},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0360","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.2140\/apde.2018.11.1049","article-title":"Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schr\u00f6dinger operators","volume":"11","author":"Naki\u0107","year":"2018","journal-title":"Anal. PDE"},{"issue":"54","key":"10.1016\/j.jde.2023.05.046_br0370","article-title":"Sharp estimates and homogenization of the control cost of the heat equation on large domains","volume":"26","author":"Naki\u0107","year":"2020","journal-title":"ESAIM Control Optim. Calc. Var."},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0380","doi-asserted-by":"crossref","first-page":"843","DOI":"10.4171\/JST\/314","article-title":"Unique continuation and lifting of spectral band edges of Schr\u00f6dinger operators on unbounded domains","volume":"10","author":"Naki\u0107","year":"2020","journal-title":"J. Spectr. Theory"},{"key":"10.1016\/j.jde.2023.05.046_br0390","first-page":"533","article-title":"Some theorems of Paley-Wiener type","volume":"2","author":"Panejah","year":"1961","journal-title":"Sov. Math. Dokl."},{"key":"10.1016\/j.jde.2023.05.046_br0400","first-page":"1026","article-title":"On some problems in harmonic analysis","volume":"142","author":"Panejah","year":"1962","journal-title":"Dokl. Akad. Nauk SSSR"},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0410","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s00220-013-1683-4","article-title":"Scale-free unique continuation estimates and applications to random Schr\u00f6dinger operators","volume":"320","author":"Rojas-Molina","year":"2013","journal-title":"Commun. Math. Phys."},{"issue":"1","key":"10.1016\/j.jde.2023.05.046_br0420","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s00013-021-01590-4","article-title":"The Laplacian on Cartesian products with mixed boundary conditions","volume":"117","author":"Seelmann","year":"2021","journal-title":"Arch. Math. (Basel)"},{"issue":"7","key":"10.1016\/j.jde.2023.05.046_br0430","doi-asserted-by":"crossref","first-page":"2337","DOI":"10.4171\/JEMS\/1055","article-title":"Lower bounds for Dirichlet Laplacians and uncertainty principles","volume":"23","author":"Stollmann","year":"2021","journal-title":"J. Eur. Math. Soc. (JEMS)"},{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0440","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/0022-247X(80)90242-5","article-title":"Unique continuation for Schr\u00f6dinger operators with unbounded potentials","volume":"77","author":"Schechter","year":"1980","journal-title":"J. Math. Anal. Appl."},{"issue":"7","key":"10.1016\/j.jde.2023.05.046_br0450","doi-asserted-by":"crossref","first-page":"2151","DOI":"10.1007\/s00023-020-00911-7","article-title":"Band edge localization beyond regular Floquet eigenvalues","volume":"21","author":"Seelmann","year":"2020","journal-title":"Ann. Henri Poincar\u00e9"},{"key":"10.1016\/j.jde.2023.05.046_br0460","article-title":"Caught by Disorder: Bound States in Random Media","volume":"vol. 20","author":"Stollmann","year":"2001"},{"key":"10.1016\/j.jde.2023.05.046_br0470","series-title":"Quantitative unique continuation and applications","author":"T\u00e4ufer","year":"2018"},{"key":"10.1016\/j.jde.2023.05.046_br0480","series-title":"Spectral Theory of Block Operator Matrices and Applications","author":"Tretter","year":"2008"},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0490","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1051\/cocv\/2010035","article-title":"On the null-controllability of diffusion equations","volume":"17","author":"Tenenbaum","year":"2011","journal-title":"ESAIM Control Optim. Calc. Var."},{"issue":"4","key":"10.1016\/j.jde.2023.05.046_br0500","doi-asserted-by":"crossref","first-page":"1151","DOI":"10.1007\/s00023-017-0640-8","article-title":"Wegner estimate and disorder dependence for alloy-type Hamiltonians with bounded magnetic potential","volume":"19","author":"T\u00e4ufer","year":"2018","journal-title":"Ann. Henri Poincar\u00e9"},{"issue":"3\u20134","key":"10.1016\/j.jde.2023.05.046_br0510","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1081\/PDE-120020491","article-title":"Carleman estimates, optimal three cylinder inequality, and unique continuation properties for solutions to parabolic equations","volume":"28","author":"Vessella","year":"2003","journal-title":"Commun. Partial Differ. Equ."},{"key":"10.1016\/j.jde.2023.05.046_br0520","article-title":"Existence and Regularity Properties of the Integrated Density of States of Random Schr\u00f6dinger Operators","volume":"vol. 1917","author":"Veseli\u0107","year":"2008"},{"issue":"2","key":"10.1016\/j.jde.2023.05.046_br0530","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/BF01896975","article-title":"A property of measure in Rn and an application to unique continuation","volume":"2","author":"Wolff","year":"1992","journal-title":"Geom. Funct. Anal."},{"issue":"3","key":"10.1016\/j.jde.2023.05.046_br0540","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1137\/15M1051907","article-title":"Observability inequalities from measurable sets for some abstract evolution equations","volume":"55","author":"Wang","year":"2017","journal-title":"SIAM J. Control Optim."}],"container-title":["Journal of Differential Equations"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022039623003868?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022039623003868?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T01:11:51Z","timestamp":1688605911000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022039623003868"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10]]},"references-count":54,"alternative-id":["S0022039623003868"],"URL":"http:\/\/dx.doi.org\/10.1016\/j.jde.2023.05.046","relation":{},"ISSN":["0022-0396"],"issn-type":[{"value":"0022-0396","type":"print"}],"subject":["Analysis","Applied Mathematics"],"published":{"date-parts":[[2023,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Quantitative unique continuation for spectral subspaces of Schr\u00f6dinger operators with singular potentials","name":"articletitle","label":"Article Title"},{"value":"Journal of Differential Equations","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jde.2023.05.046","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}