Class information for:
Level 2: HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2434 4110 20.3 39%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2434 2             HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS 4110
5572 1                   HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION 1604
14490 1                   WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION 766
19397 1                   NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS 507
20476 1                   OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS 458
26505 1                   SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT 253
26586 1                   MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM 251
30971 1                   METHOD OF AUXILIARY MODELS//RECONSTRUCTION OF DISTURBANCES//INPUT IDENTIFICATION 160
34457 1                   VIABILITY THEORY//CE P//DEMAND FOR CLIMATE PROTECTION 111

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 HAMILTON JACOBI EQUATION authKW 1241508 9% 47% 356
2 MEAN FIELD GAMES authKW 585958 2% 84% 94
3 VISCOSITY SOLUTIONS authKW 564124 6% 30% 251
4 VISCOSITY SOLUTION authKW 313992 3% 30% 141
5 DIFFERENTIAL INCLUSIONS authKW 280369 4% 22% 172
6 WEAK KAM THEORY authKW 230480 1% 97% 32
7 VIABILITY THEORY authKW 221691 1% 64% 47
8 SIAM JOURNAL ON CONTROL AND OPTIMIZATION journal 178538 7% 8% 296
9 EIKONAL EQUATION authKW 172978 2% 31% 74
10 HAMILTON JACOBI BELLMAN EQUATION authKW 156136 2% 22% 96

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, Applied 88816 58% 1% 2381
2 Mathematics 36729 41% 0% 1691
3 Automation & Control Systems 27137 17% 1% 700
4 Operations Research & Management Science 3304 7% 0% 281
5 Physics, Mathematical 1172 5% 0% 221
6 Computer Science, Cybernetics 711 1% 0% 54
7 COMPUTER APPLICATIONS & CYBERNETICS 697 0% 1% 16
8 Mathematics, Interdisciplinary Applications 346 3% 0% 105
9 Multidisciplinary Sciences 173 1% 0% 56
10 Mechanics 106 3% 0% 117

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 CSMSE 47534 0% 80% 8
2 RECH VIABIL JEUX CONTROLE 43211 0% 73% 8
3 RECH VIABIL 40436 0% 78% 7
4 CEREMADE 32193 2% 6% 74
5 MATH MECH 30687 3% 3% 121
6 EA 2151 30072 0% 45% 9
7 DIPARTIMENTO MATEMAT P A 29711 0% 100% 4
8 RECH VIABIL CONTROLE 29711 0% 100% 4
9 DIPARTIMENTO MATEMAT PURA PLICATA 27157 2% 5% 74
10 PROJET COMMANDS 24303 0% 55% 6

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 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 178538 7% 8% 296
2 APPLIED MATHEMATICS AND OPTIMIZATION 81804 3% 10% 111
3 SET-VALUED ANALYSIS 34586 1% 12% 39
4 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 30868 2% 6% 66
5 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 27456 1% 7% 54
6 DIFFERENTIAL EQUATIONS 21792 3% 3% 105
7 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 20254 3% 2% 118
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 19072 4% 1% 177
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 17982 1% 6% 44
10 AUTOMATION AND REMOTE CONTROL 15899 2% 2% 90

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 HAMILTON JACOBI EQUATION 1241508 9% 47% 356 Search HAMILTON+JACOBI+EQUATION Search HAMILTON+JACOBI+EQUATION
2 MEAN FIELD GAMES 585958 2% 84% 94 Search MEAN+FIELD+GAMES Search MEAN+FIELD+GAMES
3 VISCOSITY SOLUTIONS 564124 6% 30% 251 Search VISCOSITY+SOLUTIONS Search VISCOSITY+SOLUTIONS
4 VISCOSITY SOLUTION 313992 3% 30% 141 Search VISCOSITY+SOLUTION Search VISCOSITY+SOLUTION
5 DIFFERENTIAL INCLUSIONS 280369 4% 22% 172 Search DIFFERENTIAL+INCLUSIONS Search DIFFERENTIAL+INCLUSIONS
6 WEAK KAM THEORY 230480 1% 97% 32 Search WEAK+KAM+THEORY Search WEAK+KAM+THEORY
7 VIABILITY THEORY 221691 1% 64% 47 Search VIABILITY+THEORY Search VIABILITY+THEORY
8 EIKONAL EQUATION 172978 2% 31% 74 Search EIKONAL+EQUATION Search EIKONAL+EQUATION
9 HAMILTON JACOBI BELLMAN EQUATION 156136 2% 22% 96 Search HAMILTON+JACOBI+BELLMAN+EQUATION Search HAMILTON+JACOBI+BELLMAN+EQUATION
10 OCCUPATIONAL MEASURES 155980 1% 100% 21 Search OCCUPATIONAL+MEASURES Search OCCUPATIONAL+MEASURES

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 GAITSGORY, V , ROSSOMAKHINE, S , (2015) AVERAGING AND LINEAR PROGRAMMING IN SOME SINGULARLY PERTURBED PROBLEMS OF OPTIMAL CONTROL.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 71. ISSUE 2. P. 195 -276 38 93% 0
2 GAITSGORY, V , MANIC, L , ROSSOMAKHINE, S , (2015) ON AVERAGE CONTROL GENERATING FAMILIES FOR SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEMS WITH LONG RUN AVERAGE OPTIMALITY CRITERIA.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 23. ISSUE 1. P. 87 -131 37 95% 0
3 GOMES, DA , PIMENTEL, E , SANCHEZ-MORGADO, H , (2016) TIME-DEPENDENT MEAN-FIELD GAMES IN THE SUPERQUADRATIC CASE.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 22. ISSUE 2. P. 562 -580 29 100% 2
4 RICHARD, C , JENKINSON, O , DIAZ-ORDAZ, K , ANAGNOSTOPOULOU, V , (2012) STURMIAN MAXIMIZING MEASURES FOR THE PIECEWISE-LINEAR COSINE FAMILY.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 43. ISSUE 2. P. 285 -302 39 89% 0
5 BARDI, M , (1997) SOME APPLICATIONS OF VISCOSITY SOLUTIONS TO OPTIMAL CONTROL AND DIFFERENTIAL GAMES.VISCOSITY SOLUTIONS AND APPLICATIONS. VOL. 1660. ISSUE . P. 44 -97 56 93% 8
6 ISHII, H , (2013) A SHORT INTRODUCTION TO VISCOSITY SOLUTIONS AND THE LARGE TIME BEHAVIOR OF SOLUTIONS OF HAMILTON-JACOBI EQUATIONS.HAMILTON-JACOBI EQUATIONS: APPROXIMATIONS, NUMERICAL ANALYSIS AND APPLICATIONS, CETRARO, ITALY 2011. VOL. 2074. ISSUE . P. 111 -249 36 90% 2
7 GAMA, R , SMIRNOV, G , (2014) STABILITY AND OPTIMALITY OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS VIA AVERAGING METHOD.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 22. ISSUE 2. P. 349 -374 36 82% 2
8 GOMES, DA , PIMENTEL, EA , SANCHEZ-MORGADO, H , (2015) TIME-DEPENDENT MEAN-FIELD GAMES IN THE SUBQUADRATIC CASE.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 40. ISSUE 1. P. 40 -76 26 96% 9
9 ACHDOU, Y , BARDI, M , CIRANT, M , (2017) MEAN FIELD GAMES MODELS OF SEGREGATION.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 27. ISSUE 1. P. 75 -113 21 81% 1
10 LOPES, AO , MENGUE, JK , MOHR, J , SOUZA, RR , (2015) ENTROPY AND VARIATIONAL PRINCIPLE FOR ONE-DIMENSIONAL LATTICE SYSTEMS WITH A GENERAL A PRIORI PROBABILITY: POSITIVE AND ZERO TEMPERATURE.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 1925 -1961 33 85% 1

Classes with closest relation at Level 2


Rank Class id link
1 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
2 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
3 3282 TURNPIKE PROPERTY//INFINITE HORIZON PROBLEMS//GOOD FUNCTION
4 755 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//OPTION PRICING//REAL OPTIONS
5 3182 SECRETARY PROBLEM//OPTIMAL STATIONARY POLICY//BEST CHOICE PROBLEM
6 2787 BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT
7 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
8 3048 SEARCH GAME//COPS AND ROBBERS//PURSUIT EVASION
9 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
10 905 POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX

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