Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem

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dc.contributor.authorMolinarolo, Riccardo
dc.date.accessioned2021-11-05T17:42:25Z
dc.date.available2021-11-05T17:42:25Z
dc.date.issued2019-04-22
dc.description.abstractIn this article we analyze a boundary value problem for the Laplace equation with a nonlinear non-autonomous transmission conditions on the boundary of a small inclusion of size ε. We show that the problem has solutions for ε small enough and we investigate the dependence of a specific family of solutions upon ε. By adopting a functional analytic approach we prove that the map which takes ε to (suitable restrictions of) the corresponding solution can be represented in terms of real analytic functions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent29 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMolinarolo, R. (2019). Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem. <i>Electronic Journal of Differential Equations, 2019</i>(53), pp. 1-29.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14786
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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlinear non-autonomous transmission problem
dc.subjectSingularly perturbed perforated domain
dc.subjectSmall inclusion
dc.subjectLaplace operator
dc.subjectReal analytic continuation in Banach space
dc.subjectAsymptotic behaviour
dc.titleExistence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem
dc.typeArticle

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