Manifolds of quasiconformal mappings and the nonlinear Beltrami equation
| dc.contributor.author | Astala, Kari | |
| dc.contributor.author | Clop, Albert | |
| dc.contributor.author | Faraco, Daniel | |
| dc.contributor.author | Jääskeläinen, Jarmo | |
| dc.date.accessioned | 2019-12-16T12:07:58Z | |
| dc.date.available | 2019-12-16T12:07:58Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Astala, K., Clop, A., Faraco, D., & Jääskeläinen, J. (2019). Manifolds of quasiconformal mappings and the nonlinear Beltrami equation. <i>Journal d'Analyse Mathématique</i>, <i>139</i>(1), 207-238. <a href="https://doi.org/10.1007/s11854-019-0059-x" target="_blank">https://doi.org/10.1007/s11854-019-0059-x</a> | |
| dc.identifier.other | CONVID_33555517 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/66827 | |
| dc.description.abstract | In this paper we show that the homeomorphic solutions to each nonlinear Beltrami equation ∂z¯f=H(z,∂zf) generate a two-dimensional manifold of quasiconformal mappings FH⊂Wloc1,2(C). Moreover, we show that under regularity assumptions on H, the manifold FH defines the structure function H uniquely. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | The Hebrew University Magnes Press | |
| dc.relation.ispartofseries | Journal d'Analyse Mathématique | |
| dc.rights | In Copyright | |
| dc.title | Manifolds of quasiconformal mappings and the nonlinear Beltrami equation | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201912165319 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 207-238 | |
| dc.relation.issn | 0021-7670 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 139 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © The Hebrew University of Jerusalem 2019 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | monistot | |
| dc.subject.yso | funktioteoria | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p28181 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1007/s11854-019-0059-x | |
| jyx.fundinginformation | K. A. was supported by Academy of Finland project SA-307333. A. C. was supported by research grants 2014SGR75 (Generalitat de Catalunya), MTM2016-75390-P and MTM2016-81703-ERC (Gobierno de Espana) and FP7-607647 (European Union). D. F. was supported by research grant MTM2011-28198 from the Ministerio de Ciencia e Innovación (MCINN), by MINECO: ICMAT Severo Ochoa project SEV-2011-0087, and by the ERC 307179. J. J. was supported by the ERC 307179 and Academy of Finland (no. 276233). | |
| dc.type.okm | A1 |
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