MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03257cam a2200505 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231215153943.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220327s2022 riu b 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470450533 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Cancelled/invalid ISBN |
9781470470159 |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
|---|
| International Standard Serial Number |
00659266 |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
|---|
| International Standard Serial Number |
19476221 |
| 041 ## - LANGUAGE CODE |
|---|
| Language |
English |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
pcc |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.353 |
| Edition number |
23/eng20220503 |
| Item number |
GRO |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
35K58 |
| -- |
35K65 |
| -- |
70S15 |
| -- |
35K51 |
| -- |
58J35 |
| Source of number |
msc |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gross, Leonard, |
| 245 14 - TITLE STATEMENT |
|---|
| Title |
The Yang-Mills heat equation with finite action in three dimensions / |
| Statement of responsibility, etc |
Leonard Gross. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
USA : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c2022. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
v, 111 pages ; |
| Dimensions |
26 cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Volume number/sequential designation |
V.275., No.1349. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
"January 2022, volume 275." |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Contents |
Statement of results -- Solutions for the augmented Yang-Mills heat equation -- Initial behavior of solutions to the augmented equation -- Gauge groups -- The conversion group -- Recovery of A from C. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
"The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over R3 and over a bounded open convex set in R3. The initial data is taken to lie in the Sobolev space of order one half, which is the critical Sobolev index for this equation over a three dimensional manifold. The existence is proven by solving first an augmented, strictly parabolic equation and then gauge transforming the solution to a solution of the Yang-Mills heat equation itself. The gauge functions needed to carry out this procedure lie in the critical gauge group of Sobolev regularity three halves, which is a complete topological group in a natural metric but is not a Hilbert Lie group. The nature of this group must be understood in order to carry out the reconstruction procedure. Solutions to the Yang-Mills heat equation are shown to be strong solutions modulo these gauge functions. Energy inequalities and Neumann domination inequalities are used to establish needed initial behavior properties of solutions to the augmented equation"-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Heat equation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Yang-Mills theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Gauge fields (Physics) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Partial differential equations -- Parabolic equations and systems -- Semilinear parabolic equations. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Partial differential equations -- Parabolic equations and systems -- Degenerate parabolic equations. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mechanics of particles and systems -- Classical field theories -- Yang-Mills and other gauge theories. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Partial differential equations -- Parabolic equations and systems -- Initial-boundary value problems for second-order parabolic systems. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Heat and other parabolic equation methods. |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
|---|
| Department Name |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Project book |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Dates associated with a name |
1931- |
| Relator term |
author. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Memoirs of the American Mathematical Society, |
| International Standard Serial Number |
0065-9266 ; |
| Volume number/sequential designation |
number 1349 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
msc |
| 9 (RLIN) |
4 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
msc |
| 9 (RLIN) |
4 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
msc |
| 9 (RLIN) |
4 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
msc |
| 9 (RLIN) |
4 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
msc |
| 9 (RLIN) |
4 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
|---|
| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ecip |
| f |
20 |
| g |
y-gencatlg |
