Class information for:
Level 1: P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4957 1697 19.6 48%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2349 2             P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL 4382
4957 1                   P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION 1697

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 P HARMONIC MAPS authKW 490176 2% 72% 38
2 HARMONIC MAPS authKW 469020 6% 24% 110
3 LANDAU LIFSHITZ EQUATION authKW 413046 3% 43% 54
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS journal 176356 7% 8% 125
5 ENERGY IDENTITY authKW 166537 1% 51% 18
6 DIRAC HARMONIC MAP authKW 143936 0% 100% 8
7 LANDAU LIFSCHITZ EQUATION authKW 128053 1% 65% 11
8 P HARMONIC FLOWS authKW 125944 0% 100% 7
9 SCHRODINGER FLOW authKW 110199 0% 88% 7
10 POLYHARMONIC MAPS authKW 107952 0% 100% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 55000 77% 0% 1303
2 Mathematics, Applied 23747 47% 0% 796
3 Physics, Mathematical 640 6% 0% 103
4 Mechanics 37 3% 0% 46
5 Automation & Control Systems 14 1% 0% 17
6 Mathematics, Interdisciplinary Applications 7 1% 0% 16
7 Multidisciplinary Sciences 6 1% 0% 10
8 Engineering, General 1 1% 0% 12
9 Computer Science, Interdisciplinary Applications 0 1% 0% 12
10 Physics, Multidisciplinary -1 2% 0% 26

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MAMCS GRP 53976 0% 100% 3
2 URA 1611 38321 0% 30% 7
3 WU WENJUN 35984 0% 100% 2
4 2M2I 17992 0% 100% 1
5 AMSS MATH 17992 0% 100% 1
6 ANAL FONCT HARMON COMPLEXEEQUIPE ANAL COMP 17992 0% 100% 1
7 ANAL MATH PLUFR SCI TECHNOL 17992 0% 100% 1
8 CAMILLO DE LELLIS MATH 17992 0% 100% 1
9 COCDM 17992 0% 100% 1
10 DPTO MATEMAT CS EXACTAS NAT 17992 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 176356 7% 8% 125
2 ADVANCES IN CALCULUS OF VARIATIONS 34178 1% 11% 17
3 MANUSCRIPTA MATHEMATICA 24843 4% 2% 67
4 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 22191 2% 3% 39
5 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 13741 2% 2% 35
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 11832 2% 2% 40
7 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 10979 1% 3% 21
8 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 8935 1% 2% 21
9 MATHEMATISCHE ZEITSCHRIFT 8853 3% 1% 50
10 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 7422 1% 3% 16

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 P HARMONIC MAPS 490176 2% 72% 38 Search P+HARMONIC+MAPS Search P+HARMONIC+MAPS
2 HARMONIC MAPS 469020 6% 24% 110 Search HARMONIC+MAPS Search HARMONIC+MAPS
3 LANDAU LIFSHITZ EQUATION 413046 3% 43% 54 Search LANDAU+LIFSHITZ+EQUATION Search LANDAU+LIFSHITZ+EQUATION
4 ENERGY IDENTITY 166537 1% 51% 18 Search ENERGY+IDENTITY Search ENERGY+IDENTITY
5 DIRAC HARMONIC MAP 143936 0% 100% 8 Search DIRAC+HARMONIC+MAP Search DIRAC+HARMONIC+MAP
6 LANDAU LIFSCHITZ EQUATION 128053 1% 65% 11 Search LANDAU+LIFSCHITZ+EQUATION Search LANDAU+LIFSCHITZ+EQUATION
7 P HARMONIC FLOWS 125944 0% 100% 7 Search P+HARMONIC+FLOWS Search P+HARMONIC+FLOWS
8 SCHRODINGER FLOW 110199 0% 88% 7 Search SCHRODINGER+FLOW Search SCHRODINGER+FLOW
9 POLYHARMONIC MAPS 107952 0% 100% 6 Search POLYHARMONIC+MAPS Search POLYHARMONIC+MAPS
10 LANDAU LIFSHITZ 95952 0% 67% 8 Search LANDAU+LIFSHITZ Search LANDAU+LIFSHITZ

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 HINEMAN, J , HUANG, T , WANG, CY , (2014) REGULARITY AND UNIQUENESS OF A CLASS OF BIHARMONIC MAP HEAT FLOWS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 50. ISSUE 3-4. P. 491-524 37 97% 1
2 HARDT, RM , (1997) SINGULARITIES OF HARMONIC MAPS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 34. ISSUE 1. P. 15-34 57 84% 33
3 MOSER, R , (2015) AN L-P REGULARITY THEORY FOR HARMONIC MAPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 1. P. 1 -30 31 94% 2
4 LAMM, T , SHARP, B , (2016) GLOBAL ESTIMATES AND ENERGY IDENTITIES FOR ELLIPTIC SYSTEMS WITH ANTISYMMETRIC POTENTIALS.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 41. ISSUE 4. P. 579 -608 30 81% 1
5 HUANG, T , WANG, CY , (2016) ON UNIQUENESS OF HEAT FLOW OF HARMONIC MAPS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 65. ISSUE 5. P. 1525 -1546 27 93% 0
6 BOUSQUET, P , PONCE, AC , VAN SCHAFTINGEN, J , (2015) STRONG DENSITY FOR HIGHER ORDER SOBOLEV SPACES INTO COMPACT MANIFOLDS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 4. P. 763 -817 26 90% 3
7 MUCCI, D , (2010) THE HOMOLOGICAL SINGULARITIES OF MAPS IN TRACE SPACES BETWEEN MANIFOLDS.MATHEMATISCHE ZEITSCHRIFT. VOL. 266. ISSUE 4. P. 817 -849 26 100% 1
8 COOPER, MK , (2015) CRITICAL O(D)-EQUIVARIANT BIHARMONIC MAPS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 54. ISSUE 3. P. 2895 -2919 28 82% 0
9 PIGOLA, S , VERONELLI, G , (2015) ON THE DIRICHLET PROBLEM FOR -HARMONIC MAPS I: COMPACT TARGETS.GEOMETRIAE DEDICATA. VOL. 177. ISSUE 1. P. 307 -322 23 96% 0
10 DING, SJ , GUO, BL , (2008) EXISTENCE OF PARTIALLY REGULAR WEAK SOLUTIONS TO LANDAU-LIFSHITZ-MAXWELL EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 244. ISSUE 10. P. 2448-2472 27 93% 2

Classes with closest relation at Level 1


Rank Class id link
1 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
2 13356 GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATION//GINZBURG LANDAU SYSTEM
3 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
4 16551 NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM
5 36756 BASIC EQUATION OF MAGNETOSTATICS//BODIES WITH INCLUSIONS//CYLINDER WITH FLAW
6 29826 IMPROVED SOR METHOD WITH ORDERINGS//PLATEAUS PROBLEM FOR POLYGONAL BOUNDARY CURVES//DOUGLAS PROBLEM
7 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
8 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
9 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES
10 28754 MEISSNERS BODY//MINIMAL ISOMETRIC IMMERSIONS//SPHERICAL MINIMAL IMMERSION

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