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

• Autorzy: Vladimir A. Mikhailets , Aleksandr A. Murach
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: 56
• Numer: 3
• Strony: 213-224

Daty

wydano

2008

Twórcy

autor

Vladimir A. Mikhailets

• Institute of Mathematics NAS of Ukraine, Tereshchenkivska St. 3, Kyiv 01601, Ukraine

autor

Aleksandr A. Murach

• Institute of Mathematics NAS of Ukraine, Tereshchenkivska St. 3, Kyiv 01601, Ukraine
• Chernigiv State Technological University, Shevchenka St. 95, Chernigiv 14027, Ukraine

Identyfikatory

DOI

10.4064/ba56-3-4