RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Publishing Ethics Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 CMFD: Year: Volume: Issue: Page: Find

 CMFD, 2018, Volume 64, Issue 1, Pages 164–179 (Mi cmfd352)

On homotopic classification of elliptic problems with contractions and $K$-groups of corresponding $C^*$-algebras

A. Yu. Savinab

a RUDN University, Moscow, Russia
b Leibniz Unversity of Hannover, Hannover, Germany

Abstract: We consider calculation of a group of stable homotopic classes for pseudodifferential elliptic boundary problems. We study this problem in terms of topological $K$-groups of some spaces in the following cases: for boundary-value problems on manifolds with boundaries, for conjugation problems with conditions on a closed submanifold of codimension one, and for nonlocal problems with contractions.

 Funding Agency Grant Number Russian Foundation for Basic Research 15-01-0839216-01-00373 Deutsche Forschungsgemeinschaft Ministry of Education and Science of the Russian Federation 02.a03.21.0008

DOI: https://doi.org/10.22363/2413-3639-2018-64-1-164-179

Full text: PDF file (230 kB)
References: PDF file   HTML file

UDC: 515.168.5+517.986.32

Citation: A. Yu. Savin, “On homotopic classification of elliptic problems with contractions and $K$-groups of corresponding $C^*$-algebras”, Differential and functional differential equations, CMFD, 64, no. 1, Peoples' Friendship University of Russia, M., 2018, 164–179

Citation in format AMSBIB
\Bibitem{Sav18} \by A.~Yu.~Savin \paper On homotopic classification of elliptic problems with contractions and $K$-groups of corresponding $C^*$-algebras \inbook Differential and functional differential equations \serial CMFD \yr 2018 \vol 64 \issue 1 \pages 164--179 \publ Peoples' Friendship University of Russia \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd352} \crossref{https://doi.org/10.22363/2413-3639-2018-64-1-164-179}