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Artículo
On existence of optimal potentials on unbounded domains
dc.creator | Buttazzo, Giuseppe | es |
dc.creator | Casado Díaz, Juan | es |
dc.creator | Maestre, Faustino | es |
dc.date.accessioned | 2022-11-10T13:24:52Z | |
dc.date.available | 2022-11-10T13:24:52Z | |
dc.date.issued | 2019-09-13 | |
dc.identifier.citation | Buttazzo, G., Casado Díaz, J. y Maestre, F. (2019). On existence of optimal potentials on unbounded domains. https://doi.org/10.48550/arXiv.1909.06128. | |
dc.identifier.uri | https://hdl.handle.net/11441/139247 | |
dc.description.abstract | We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimization problem for an integral cost depending on the solution uV , when V varies in a suitable class of admissible potentials. These problems can be seen as the natural extension of shape optimization problems to the framework of potentials. The main result is an existence theorem for optimal potentials, and the main difficulty is to work in the whole Euclidean space Rd, which implies a lack of compactness in several crucial points. In the last section we present some numerical simulations. | es |
dc.format | application/pdf | es |
dc.format.extent | 25 p. | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Optimization and Control | es |
dc.subject | Analysis of PDEs | es |
dc.title | On existence of optimal potentials on unbounded domains | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.48550/arXiv.1909.06128 | es |
dc.identifier.doi | 10.48550/arXiv.1909.06128 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
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