Displaying similar documents to “Geometry of the manifold of m -planes of an elliptic n -space.”

Extended Maximum Principles

Al-Mahameed, M. M. (2007)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 35B50, 35L15. In this paper we introduce some new results concerning the maximum principles for second order linear elliptic partial differential equations defined on a noncompact Riemannian manifold.

Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold

Vladimir A. Mikhailets, Aleksandr A. Murach (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.