dc.creator | NGuyen, Huy Tuan | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2021-02-01T13:58:45Z | |
dc.date.available | 2021-02-01T13:58:45Z | |
dc.date.issued | 2020-06-11 | |
dc.identifier.citation | NGuyen, H.T. y Caraballo Garrido, T. (2020). ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 149 (1), 143-1-161-19. | |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | https://hdl.handle.net/11441/104392 | |
dc.description.abstract | In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal value problem. For an initial value problem, we study local existence, uniqueness, and continuous dependence of the mild solution. We also present a result on unique continuation and a blow-up alternative for mild solutions of fractional pseudo-parabolic equations. For the terminal value problem, we show the well-posedness of our problem in the case 0 < α ≤ 1 and show the ill-posedness in the sense of Hadamard in the case α > 1. Then, under the a priori assumption on the exact solution belonging to a Gevrey space, we propose the Fourier truncation
method for stabilizing the ill-posed problem. A stability estimate of logarithmic-type in Lq norm is first established. | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.description.sponsorship | Agencia Estatal de Investigación (AEI). España | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.format | application/pdf | es |
dc.format.extent | 19 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 149 (1), 143-1-161-19. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Fractional nonclassical diffusion equation | es |
dc.subject | well-posedness | es |
dc.subject | ill-posedness | es |
dc.subject | regularity estimates | es |
dc.subject | regularization and error estimate | es |
dc.title | ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS | 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.projectID | PGC2018-096540-B-I00 | es |
dc.relation.publisherversion | https://doi.org/10.1090/proc/15131 | es |
dc.identifier.doi | 10.1090/proc/15131 | es |
dc.journaltitle | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | es |
dc.publication.volumen | 149 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 143-1 | es |
dc.publication.endPage | 161-19 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |