Identification of discontinuous parameters in double phase obstacle problems
| dc.contributor.author | Zeng, Shengda | |
| dc.contributor.author | Bai, Yunru | |
| dc.contributor.author | Winkert, Patrick | |
| dc.contributor.author | Yao, Jen-Chih | |
| dc.date.accessioned | 2022-09-19T08:10:02Z | |
| dc.date.available | 2022-09-19T08:10:02Z | |
| dc.date.issued | 2022-08-19 | |
| dc.description.abstract | In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a multivalued reaction term depending on the gradient), a multivalued boundary condition and an obstacle constraint. First, we apply a surjectivity theorem for multivalued mappings, which is formulated by the sum of a maximal monotone multivalued operator and a multivalued pseudomonotone mapping to examine the existence of a nontrivial solution to the double phase obstacle problem, which exactly relies on the first eigenvalue of the Steklov eigenvalue problem for the p-Laplacian. Then, a nonlinear inverse problem driven by the double phase obstacle equation is considered. Finally, by introducing the parameter-to-solution-map, we establish a continuous result of Kuratowski type and prove the solvability of the inverse problem. | en |
| dc.description.sponsorship | DFG, 414044773, Open Access Publizieren 2021 - 2022 / Technische Universität Berlin | en |
| dc.identifier.eissn | 2191-950X | |
| dc.identifier.issn | 2191-9496 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/17352 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-16133 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | discontinuous parameter | en |
| dc.subject.other | double phase operator | en |
| dc.subject.other | elliptic obstacle problem | en |
| dc.subject.other | inverse problem | en |
| dc.subject.other | mixed boundary condition | en |
| dc.subject.other | multivalued convection | en |
| dc.subject.other | Steklov eigenvalue problem | en |
| dc.title | Identification of discontinuous parameters in double phase obstacle problems | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1515/anona-2022-0223 | en |
| dcterms.bibliographicCitation.issue | 1 | en |
| dcterms.bibliographicCitation.journaltitle | Advances in nonlinear analysis | en |
| dcterms.bibliographicCitation.originalpublishername | De Gruyter | en |
| dcterms.bibliographicCitation.originalpublisherplace | Berlin | en |
| dcterms.bibliographicCitation.volume | 12 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Differentialgleichungen | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Differentialgleichungen | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |