Class information for:
Level 1: CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4237 1823 20.7 44%


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
2139 2             DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY 5047
4237 1                   CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES 1823

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 CARLEMAN ESTIMATES authKW 2092318 10% 65% 191
2 NULL CONTROLLABILITY authKW 1988332 8% 80% 149
3 CARLEMAN INEQUALITIES authKW 663566 3% 70% 57
4 CONTROLLABILITY authKW 458269 12% 13% 215
5 EXACT CONTROLLABILITY authKW 457231 4% 36% 75
6 DPTO EDAN address 440910 2% 71% 37
7 OBSERVABILITY INEQUALITY authKW 396440 2% 62% 38
8 EXACT BOUNDARY CONTROLLABILITY authKW 383201 2% 74% 31
9 INSENSITIZING CONTROLS authKW 284721 1% 100% 17
10 EDAN address 249211 1% 60% 25

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 48852 64% 0% 1173
2 Mathematics 22558 48% 0% 877
3 Automation & Control Systems 16666 20% 0% 364
4 Operations Research & Management Science 536 4% 0% 79
5 Physics, Mathematical 382 5% 0% 86
6 Mathematics, Interdisciplinary Applications 149 3% 0% 46
7 Computer Science, Cybernetics 56 1% 0% 11
8 Mechanics 39 3% 0% 49
9 Multidisciplinary Sciences 5 1% 0% 10
10 Computer Science, Software Engineering 1 1% 0% 13

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 DPTO EDAN 440910 2% 71% 37
2 EDAN 249211 1% 60% 25
3 NONLINEAR MATH MODELING METHODS 123325 0% 82% 9
4 KLMNS 100490 0% 100% 6
5 UMR 7598 87958 3% 8% 62
6 RECH MATH AVANCEE 78911 3% 9% 50
7 JACQUES LOUIS LIONS 67461 4% 5% 79
8 MATH VERSAILLES 60632 1% 15% 24
9 UMR CNRS 6620 56514 0% 38% 9
10 LMDPUMMISCO IRD UPMC 53593 0% 80% 4

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 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 180191 5% 12% 92
2 MATHEMATICAL CONTROL AND RELATED FIELDS 108702 2% 21% 31
3 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 103410 8% 4% 150
4 EVOLUTION EQUATIONS AND CONTROL THEORY 53333 1% 14% 23
5 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 31355 3% 4% 51
6 COMPTES RENDUS MATHEMATIQUE 30651 5% 2% 87
7 INVERSE PROBLEMS 13696 3% 2% 53
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 12206 2% 2% 30
9 APPLICABLE ANALYSIS 11660 2% 2% 32
10 ASYMPTOTIC ANALYSIS 11064 2% 2% 28

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 CARLEMAN ESTIMATES 2092318 10% 65% 191 Search CARLEMAN+ESTIMATES Search CARLEMAN+ESTIMATES
2 NULL CONTROLLABILITY 1988332 8% 80% 149 Search NULL+CONTROLLABILITY Search NULL+CONTROLLABILITY
3 CARLEMAN INEQUALITIES 663566 3% 70% 57 Search CARLEMAN+INEQUALITIES Search CARLEMAN+INEQUALITIES
4 CONTROLLABILITY 458269 12% 13% 215 Search CONTROLLABILITY Search CONTROLLABILITY
5 EXACT CONTROLLABILITY 457231 4% 36% 75 Search EXACT+CONTROLLABILITY Search EXACT+CONTROLLABILITY
6 OBSERVABILITY INEQUALITY 396440 2% 62% 38 Search OBSERVABILITY+INEQUALITY Search OBSERVABILITY+INEQUALITY
7 EXACT BOUNDARY CONTROLLABILITY 383201 2% 74% 31 Search EXACT+BOUNDARY+CONTROLLABILITY Search EXACT+BOUNDARY+CONTROLLABILITY
8 INSENSITIZING CONTROLS 284721 1% 100% 17 Search INSENSITIZING+CONTROLS Search INSENSITIZING+CONTROLS
9 BILINEAR CONTROL 222694 1% 53% 25 Search BILINEAR+CONTROL Search BILINEAR+CONTROL
10 APPROXIMATE CONTROLLABILITY 207553 3% 23% 55 Search APPROXIMATE+CONTROLLABILITY Search APPROXIMATE+CONTROLLABILITY

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 CANNARSA, P , MARTINEZ, P , VANCOSTENOBLE, J , (2016) GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 239. ISSUE 1133. P. 1 -+ 72 78% 0
2 ERVEDOZA, S , ZUAZUA, E , (2012) THE WAVE EQUATION: CONTROL AND NUMERICS.CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS: CETRARO, ITALY 2010. VOL. 2048. ISSUE . P. 245 -339 61 81% 5
3 YAMAMOTO, M , (2009) CARLEMAN ESTIMATES FOR PARABOLIC EQUATIONS AND APPLICATIONS.INVERSE PROBLEMS. VOL. 25. ISSUE 12. P. - 48 75% 57
4 CHOWDHURY, S , (2015) APPROXIMATE CONTROLLABILITY FOR LINEARIZED COMPRESSIBLE BAROTROPIC NAVIER-STOKES SYSTEM IN ONE AND TWO DIMENSIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 422. ISSUE 2. P. 1034 -1057 37 95% 1
5 ALABAU-BOUSSOUIRA, F , (2014) INSENSITIZING EXACT CONTROLS FOR THE SCALAR WAVE EQUATION AND EXACT CONTROLLABILITY OF 2-COUPLED CASCADE SYSTEMS OF PDE'S BY A SINGLE CONTROL.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. VOL. 26. ISSUE 1. P. 1-46 34 94% 6
6 ERVEDOZA, S , ZUAZUA, E , (2015) TRANSMUTATION TECHNIQUES AND OBSERVABILITY FOR TIME-DISCRETE APPROXIMATION SCHEMES OF CONSERVATIVE SYSTEMS.NUMERISCHE MATHEMATIK. VOL. 130. ISSUE 3. P. 425 -466 33 92% 0
7 KLIBANOV, MV , (2013) CARLEMAN ESTIMATES FOR GLOBAL UNIQUENESS, STABILITY AND NUMERICAL METHODS FOR COEFFICIENT INVERSE PROBLEMS.JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. VOL. 21. ISSUE 4. P. 477-560 47 57% 25
8 ALABAU-BOUSSOUIRA, F , (2013) A HIERARCHIC MULTI-LEVEL ENERGY METHOD FOR THE CONTROL OF BIDIAGONAL AND MIXED N-COUPLED CASCADE SYSTEMS OF PDE'S BY A REDUCED NUMBER OF CONTROLS.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 18. ISSUE 11-12. P. 1005-1072 34 85% 5
9 LE ROUSSEAU, J , LEBEAU, G , (2012) ON CARLEMAN ESTIMATES FOR ELLIPTIC AND PARABOLIC OPERATORS. APPLICATIONS TO UNIQUE CONTINUATION AND CONTROL OF PARABOLIC EQUATIONS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 18. ISSUE 3. P. 712-747 29 94% 25
10 BEAUCHARD, K , CANNARSA, P , GUGLIELMI, R , (2014) NULL CONTROLLABILITY OF GRUSHIN-TYPE OPERATORS IN DIMENSION TWO.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 1. P. 67-101 26 96% 8

Classes with closest relation at Level 1


Rank Class id link
1 1480 GENERAL DECAY//RELAXATION FUNCTION//EXPONENTIAL DECAY
2 35251 BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION
3 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
4 33066 REGIONAL OBSERVABILITY//A S UFR//MACS GRP
5 33932 HAMILTON PONTRYAGIN FUNCTIONS//SECOND ORDER VECTOR DIFFERENTIAL EQUATION//KASTAMONU EGITIM FAK
6 30975 HIERARCHIC CONTROL//STACKELBERG NASH STRATEGIES//LOW REGRET CONTROL
7 6597 BOUNDARY CONTROL//DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS
8 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
9 34131 GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS
10 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM

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