On spectrum of the Laplacian in a circle perforated along the boundary: Application to a Friedrichs-type inequality

Chechkin, GregoryDepartment of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University (author)

On spectrum of the Laplacian in a circle perforated along the boundary : Application to a Friedrichs-type inequality

Validerad; 2011; 20111206 (wall)
In this paper we construct and verify the asymptotic expansion for the spectrum of a boundary-value problem in a unit circle periodically perforated along the boundary. It is assumed that the size of perforation and the distance to the boundary of the circle are of the same smallness. As an application of the obtained results the asymptotic behavior of the best constant in a Friedrichs-type inequality is investigated.

Koroleva, YuliaLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)yulkor (author)
Persson, Lars-ErikLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)larserik (author)
Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall (author)
Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State UniversityMatematiska vetenskaper (creator_code:org_t)

In:International Journal of Differential Equations: Hindawi Limited20111687-96431687-9651

By the author/editor: Chechkin, Gregor ...; Koroleva, Yulia; Persson, Lars-Er ...; Wall, Peter

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Mathematical Ana ...

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