Cover Image

Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold

We study linear elliptic pseudodifferential operators in the improved scale of functional Hilbert spaces on a smooth closed manifold. Elements of this scale are isotropic Hörmander-Volevich-Paneyakh spaces. We investigate the local smoothness of a solution of an elliptic equation in the improved sca...

Full description

Saved in:

Bibliographic Details
Date:	2007
Main Authors:	Murach, A. A., Мурач, А. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3346
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Elliptic Operators in a Refined Scale of Functional Spaces
by: Mikhailets, V. A., et al.
Published: (2005)

Improved scales of spaces and elliptic boundary-value problems. III
by: Mikhailets, V. A., et al.
Published: (2007)

Improved scales of spaces and elliptic boundary-value problems. I
by: Mikhailets, V. A., et al.
Published: (2006)

Improved scales of spaces and elliptic boundary-value problems. II
by: Mikhailets, V. A., et al.
Published: (2006)

Elliptic boundary-value problem in a two-sided improved scale of spaces
by: Mikhailets, V. A., et al.
Published: (2008)

Extended Sobolev Scale and Elliptic Operators
by: Mikhailets, V. A., et al.
Published: (2013)

Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces
by: Murach, A. A., et al.
Published: (1994)

On elliptic systems in Hörmander spaces
by: Murach, A. A., et al.
Published: (2009)

Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
by: Mikhailets, V. A., et al.
Published: (2006)

Elliptic systems in extended Sobolev scale on a closed manifold
by: T. N. Zinchenko
Published: (2014)

Regular Elliptic Boundary-Value Problems in the Extended Sobolev Scale
by: Anop, A. V., et al.
Published: (2014)

Extended Sobolev Scale and Elliptic Operators
by: V. A. Mikhajlets, et al.
Published: (2013)

Douglis-Nirenberg elliptic systems in Hörmander spaces
by: Zinchenko, T. N., et al.
Published: (2012)

Elliptic operators and boundary-value problems in spaces of generalized smothness
by: Mikhailets, V., et al.
Published: (2025)

Elliptic problems with boundary conditions of higher orders in Hörmander spaces
by: Kasirenko, T. M., et al.
Published: (2017)

Elliptic Boundary-Value Problems in the Sense of Lawruk on Sobolev and Hörmander Spaces
by: Chepurukhina, I. S., et al.
Published: (2015)

Hцrmander spaces on manifolds, and their application to elliptic boundary value problems
by: T. M. Kasirenko, et al.
Published: (2019)

Irregular elliptic boundary-value problems and Hörmander spaces
by: Anop, A. V., et al.
Published: (2018)

Continuity of certain pseudodifferential operators in spaces of generalized smoothness
by: Knopova, V.P.
Published: (2006)

Continuity of certain pseudodifferential operators in spaces of generalized smoothness
by: Knopova, V. P., et al.
Published: (2006)

On Green’s function of a general elliptical boundary value problem with pseudodifferential boundary conditions
by: Kovalenko, I. A., et al.
Published: (1971)

Regular Elliptic Boundary-Value Problems in the Extended Sobolev Scale
by: A. V. Anop, et al.
Published: (2014)

Elliptic problems with nonclassical coundary conditions in an extended Sobolev scale
by: O. O. Murach, et al.
Published: (2020)

Pseudodifferential operators of infinite order in countable normed spaces of smooth functions
by: V. V. Horodetskyi, et al.
Published: (2013)

Pseudodifferential equations and a generalized translation operator in non-gaussian infinite-dimensional analysis
by: Kachanovskii, N. A., et al.
Published: (1999)

Some semi-homogeneous elliptic boundary-value problems in complete extended Sobolev scale
by: A. V. Anop, et al.
Published: (2016)

Generalized spaces of type S and evolutionary pseudodifferential equations
by: V. V. Horodetskyi, et al.
Published: (2021)

Quantum Modularity for a Closed Hyperbolic 3-Manifold
by: Wheeler, Campbell
Published: (2025)

Analyticity of the Free Energy of a Closed 3-Manifold
by: Garoufalidis, S., et al.
Published: (2008)

Evolutionary pseudodifferential equations with smooth symbols in the S-type spaces
by: V. Horodetskyy̆, et al.
Published: (2023)

Evolutionary pseudodifferential equations in spaces of generalized periodic functions
by: V. V. Horodetskyi, et al.
Published: (2020)

Evolutionary pseudodifferential equations with smooth symbols in the $S$-type spaces
by: Horodets’kyi, V., et al.
Published: (2023)

Elliptic problems with rough boundary data in Nikolskii spaces
by: O. O. Murach, et al.
Published: (2021)

Plane Closed Trajectories on Certain Manifolds with Rotation Metric
by: Romanov, S. S., et al.
Published: (2004)

Elliptic Boundary-Value Problems in the Sense of Lawruk on Sobolev and Hörmander Spaces
by: Murach, A.A., et al.
Published: (2015)

Elliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity
by: Chepurukhina, I.S., et al.
Published: (2021)

Random integral manifolds of systems of differential equations with unbounded operator in a Banach space
by: Kolomiyets, V. G., et al.
Published: (1998)

On the existence of vector fields with a given set of singular points on a two-dimensional closed oriented manifold
by: Girik, E. A., et al.
Published: (1993)

To the theory of elliptic boundary-value problems in Hцrmander spaces
by: A. V. Anop, et al.
Published: (2015)

Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds
by: Romanov, S. S., et al.
Published: (2004)