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

Vladimir A. Mikhailets, and Aleksandr A. Murach. "Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold." Bulletin of the Polish Academy of Sciences. Mathematics 56.3 (2008): 213-224. <http://eudml.org/doc/281151>.

@article{VladimirA2008,
abstract = {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.},
author = {Vladimir A. Mikhailets, Aleksandr A. Murach},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {elliptic system; pseudodifferential operator; regularly varying function; scale of spaces; Hörmander spaces; Fredholm property},
language = {eng},
number = {3},
pages = {213-224},
title = {Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold},
url = {http://eudml.org/doc/281151},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Vladimir A. Mikhailets
AU - Aleksandr A. Murach
TI - Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 3
SP - 213
EP - 224
AB - 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.
LA - eng
KW - elliptic system; pseudodifferential operator; regularly varying function; scale of spaces; Hörmander spaces; Fredholm property
UR - http://eudml.org/doc/281151
ER -