Well-posedness of degenerate integro-differential equations in function spaces

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dc.contributor.authorAparicio, Rafael
dc.contributor.authorKeyantuo, Valentin
dc.date.accessioned2022-01-31T14:04:33Z
dc.date.available2022-01-31T14:04:33Z
dc.date.issued2018-03-20
dc.description.abstractWe use operator-valued Fourier multipliers to obtain characterizations for well-posedness of a large class of degenerate integro-differential equations of second order in time in Banach spaces. We treat periodic vector-valued Lebesgue, Besov and Trieblel-Lizorkin spaces. We observe that in the Besov space context, the results are applicable to the more familiar scale of periodic vector-valued H\"older spaces. The equation under consideration are important in several applied problems in physics and material science, in particular for phenomena where memory effects are important. Several examples are presented to illustrate the results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent31 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAparicio, R., & Keyantuo, V. (2018). Well-posedness of degenerate integro-differential equations in function spaces. <i>Electronic Journal of Differential Equations, 2018</i>(79), pp. 1-31.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15245
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectWell-posedness
dc.subjectMaximal regularity
dc.subjectR-boundedness
dc.subjectOperator-valued Fourier multiplier
dc.subjectLebesgue-Bochner spaces
dc.subjectBesov spaces
dc.subjectTriebel-Lizorkin spaces
dc.subjectHolder spaces
dc.titleWell-posedness of degenerate integro-differential equations in function spaces
dc.typeArticle

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