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On Space-Time Quasiconcave Solutions of the Heat Equation. (Record no. 11362)

MARC details
000 -LEADER
fixed length control field 03421nam a22004693i 4500
001 - CONTROL NUMBER
control field EBC5788263
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240724113800.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2019 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470452438
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470435240
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC5788263
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL5788263
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1103922653
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA377 .C446 2019
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.353
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Chen, Chuanqiang.
245 10 - TITLE STATEMENT
Title On Space-Time Quasiconcave Solutions of the Heat Equation.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2019.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2019.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (94 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society Series ;
Volume/sequential designation v.259
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Title page -- Chapter 1. \040Introduction -- Chapter 2. Basic definitions and the Constant Rank Theorem technique -- 2.1. Preliminaries -- 2.2. A constant rank theorem for the space-time convex solution of the heat equation -- 2.3. The strict convexity of the level sets of harmonic functions in convex rings -- Chapter 3. A microscopic space-time Convexity Principle for space-time level sets -- 3.1. A constant rank theorem for the spatial second fundamental form -- 3.2. A constant rank theorem for the space-time second fundamental form: CASE 1 -- 3.3. A constant rank theorem for the space-time second fundamental form: CASE 2 -- Chapter 4. The Strict Convexity of Space-time Level Sets -- 4.1. The strict convexity of space-time level sets of Borell's solution -- 4.2. Proof of Theorem 1.0.3 -- Chapter 5. Appendix: the proof in dimension =2 -- 5.1. minimal rank =0 -- 5.2. minimal rank =1 -- Bibliography -- Back Cover.
520 ## - SUMMARY, ETC.
Summary, etc. In this paper the authors first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, they obtain some strictly convexity results of the spatial and space-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain their ideas and for completeness, the authors also review the constant rank theorem technique for the space-time Hessian of space-time convex solution of heat equation and for the second fundamental form of the convex level sets for harmonic function.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Heat equation-Numerical solutions.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ma, Xinan.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Salani, Paolo.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Chen, Chuanqiang
Title On Space-Time Quasiconcave Solutions of the Heat Equation
Place, publisher, and date of publication Providence : American Mathematical Society,c2019
International Standard Book Number 9781470435240
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society Series
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5788263">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5788263</a>
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