Details

Autor(en) / Beteiligte

• Savin, A. Yu
• Semenova, E. N.

Titel

A Spectral Sobolev Problem for the Biharmonic Operator

Ist Teil von

• Lobachevskii journal of mathematics, 2023-03, Vol.44 (3), p.950-955

Ort / Verlag

Moscow: Pleiades Publishing

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Consider the biharmonic operator on the 3-dimensional torus with the domain given by functions vanishing on a circle inside the torus. We describe explicitly the adjoint operator and the Friedrichs extension. More precisely, we show that the Friedrichs extension is a Sobolev problem with boundary and coboundary conditions along the circle. Bibliography: 27 items.