RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2002, Volume 71, Issue 2, Pages 214–226 (Mi mz340)

Increasing Monotone Operators in Banach Space

G. I. Laptev

Tula State University

Abstract: An operator $A$ mapping a separable reflexive Banach space $X$ into the dual space $X'$ is called increasing if $\|Au\|\to \infty$ as $\|u\|\to \infty$. Necessary and sufficient conditions for the superposition operators to be increasing are obtained. The relationship between the increasing and coercive properties of monotone partial differential operators is studied. Additional conditions are imposed that imply the existence of a solution for the equation $Au=f$ with an increasing operator $A$.

DOI: https://doi.org/10.4213/mzm340

Full text: PDF file (226 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2002, 71:2, 194–205

Bibliographic databases:

UDC: 517.9

Citation: G. I. Laptev, “Increasing Monotone Operators in Banach Space”, Mat. Zametki, 71:2 (2002), 214–226; Math. Notes, 71:2 (2002), 194–205

Citation in format AMSBIB
\Bibitem{Lap02} \by G.~I.~Laptev \paper Increasing Monotone Operators in Banach Space \jour Mat. Zametki \yr 2002 \vol 71 \issue 2 \pages 214--226 \mathnet{http://mi.mathnet.ru/mz340} \crossref{https://doi.org/10.4213/mzm340} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1900794} \zmath{https://zbmath.org/?q=an:1049.47048} \transl \jour Math. Notes \yr 2002 \vol 71 \issue 2 \pages 194--205 \crossref{https://doi.org/10.1023/A:1013903113808} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000174101600021} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141848498}