A Spectral Sobolev Problem for the Biharmonic Operator
A. Yu. SavinPeoples’ Friendship University of Russia (RUDN University), 117198, Moscow, RussiaE. N. SemenovaPeoples’ Friendship University of Russia (RUDN University), 117198, Moscow, Russia
2023en
ABI
Abstract
Abstract 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.
Identifiers
Citations and references
Cited by 20 references