Geodesic
The splitting of the domain of the definition of the elliptic self-adjoint pseudodifferential operator
Journal of computational and engineering mathematics, Tome 2 (2015) no. 3, pp. 60-64

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In this work we researched domain splitting of self-adjoint elliptic pseudodifferential operator. In particular the Laplace – Beltrami operator in the space of smooth differential k-forms defined on a smooth compact oriented Riemannian manifold without boundary be such operator. This result can be used in model with Sobolev type equations.
Keywords: differential k-forms, Riemannian manifold, Sobolev type model, the direct sum of subspaces. 
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     author = {D. E. Shafranov},
     title = {The splitting of the domain of the definition of the elliptic self-adjoint pseudodifferential operator},
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D. E. Shafranov. The splitting of the domain of the definition of the elliptic self-adjoint pseudodifferential operator. Journal of computational and engineering mathematics, Tome 2 (2015) no. 3, pp. 60-64. http://geodesic.mathdoc.fr/item/JCEM_2015_2_3_a5/