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dc.contributor.authorPiatnitski, Andrey
dc.contributor.authorRybalko, A
dc.contributor.authorRybalko, V
dc.date.accessioned2017-03-30T07:31:16Z
dc.date.available2017-03-30T07:31:16Z
dc.date.issued2015-09-07
dc.description.abstractThe paper deals with the Neumann spectral problem for a singularly perturbed second-order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the principal eigenvalue and eigenfunction. Using the logarithmic transformation, we reduce the studied problem to an additive eigenvalue problem for a singularly perturbed Hamilton–Jacobi equation. Then assuming that the Aubry set of the Hamiltonian consists of a finite number of points or limit cycles situated in the domain or on its boundary, we find the limit of the eigenvalue and formulate the selection criterion that allows us to choose a solution of the limit Hamilton–Jacobi equation which gives the logarithmic asymptotics of the principal eigenfunctionen_US
dc.description.sponsorshipThis work was completed during the visit of V. Rybalko at the Narvik University College. He is indebted for the kind hospitality and financial support.en_US
dc.descriptionLink to publishers version: 10.1080/17476933.2015.1076396en_US
dc.identifier.citationPiatnitski A, Rybalko A, Rybalko. Singularly perturbed spectral problems with Neumann boundary conditions. Complex Variables and Elliptic Equations. 2015;61(2):252-274en_US
dc.identifier.cristinIDFRIDAID 1348178
dc.identifier.doi10.1080/17476933.2015.1076396
dc.identifier.issn1747-6933
dc.identifier.issn1747-6941
dc.identifier.urihttps://hdl.handle.net/10037/10901
dc.language.isoengen_US
dc.relation.journalComplex Variables and Elliptic Equations
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400en_US
dc.titleSingularly perturbed spectral problems with Neumann boundary conditionsen_US
dc.typePeer revieweden_US


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