A Spectral Sobolev Problem for the Biharmonic Operator.

Autor: Savin, A. Yu., Semenova, E. N.
Zdroj: Lobachevskii Journal of Mathematics; Mar2023, Vol. 44 Issue 3, p950-955, 6p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index