Rellich-Kondrakov embedding of the Laplacian resolvent on the torus

Published 27 Jan 2018 in math.SP | (1801.09114v1)

Abstract: This paper proves that the domain of the Laplacian, $\DEL,$ on a closed Riemannian manifold, $(M,g),$ is compactly embedded in $L^{2} (M) .$ Particularly, the resolvent of the Laplacian, $(\DEL + 1)^{-1},$ is shown to be compactly embedded on the torus.

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Louis Omenyi

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