dc.contributor.author | Ferreira, David Dos Santos | |
dc.contributor.author | Kenig, Carlos E. | |
dc.contributor.author | Salo, Mikko | |
dc.date.accessioned | 2015-01-12T08:02:45Z | |
dc.date.available | 2015-01-12T08:02:45Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Ferreira, D. D. S., Kenig, C. E., & Salo, M. (2014). On Lp resolvent estimates for Laplace–Beltrami operators on compact manifolds. <i>Forum Mathematicum</i>, <i>26</i>(3), 815-849. <a href="https://doi.org/10.1515/forum-2011-0157" target="_blank">https://doi.org/10.1515/forum-2011-0157</a> | |
dc.identifier.other | CONVID_24436290 | |
dc.identifier.other | TUTKAID_64548 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/45048 | |
dc.description.abstract | In this article we prove Lp estimates for resolvents of Laplace–Beltrami operators on compact Riemannian manifolds, generalizing results of Kenig, Ruiz and Sogge (1987) in the Euclidean case and Shen (2001) for the torus. We follow Sogge (1988) and construct Hadamard's parametrix, then use classical boundedness results on integral operators with oscillatory kernels related to the Carleson and Sjölin condition. Our initial motivation was to obtain Lp Carleman estimates with limiting Carleman weights generalizing those of Jerison and Kenig (1985); we illustrate the pertinence of Lp resolvent estimates by showing the relation with Carleman estimates. Such estimates are useful in the construction of complex geometrical optics solutions to the Schrödinger equation with unbounded potentials, an essential device for solving anisotropic inverse problems. | |
dc.language.iso | eng | |
dc.publisher | Walter de Gruyter GmbH | |
dc.relation.ispartofseries | Forum Mathematicum | |
dc.subject.other | resolvent | |
dc.subject.other | Laplace–Beltrami operator | |
dc.subject.other | Carleman estimates | |
dc.subject.other | Hadamard parametrix | |
dc.subject.other | oscillatory integrals | |
dc.title | On Lp resolvent estimates for Laplace–Beltrami operators on compact manifolds | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201501081053 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2015-01-08T16:30:11Z | |
dc.audience | Final Draft | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 815-849 | |
dc.relation.issn | 0933-7741 | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 26 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2014 by Walter de Gruyter GmbH. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1515/forum-2011-0157 | |
dc.type.okm | A1 | |