Class information for:
Level 1: UNSATURATED NUMERICAL METHOD//DOUBLE DEGENERATION//OPERATOR POTENTIAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29481 185 15.1 21%


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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
3515 2             INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID 1414
29481 1                   UNSATURATED NUMERICAL METHOD//DOUBLE DEGENERATION//OPERATOR POTENTIAL 185

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 UNSATURATED NUMERICAL METHOD authKW 495170 2% 100% 3
2 DOUBLE DEGENERATION authKW 371376 2% 75% 3
3 OPERATOR POTENTIAL authKW 371376 2% 75% 3
4 GRUSHIN DIFFERENTIAL OPERATOR authKW 330113 1% 100% 2
5 MANIFOLD OF BOUNDED GEOMETRY authKW 330113 1% 100% 2
6 COERCIVE ESTIMATE authKW 330109 2% 50% 4
7 M ACCRETIVE authKW 247582 2% 50% 3
8 BOUNDED GEOMETRY authKW 179401 3% 22% 5
9 AXISYMMETRIC NEUMANN PROBLEM authKW 165057 1% 100% 1
10 BI HARMONIC DIFFERENTIAL OPERATOR authKW 165057 1% 100% 1

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 4099 64% 0% 118
2 Multidisciplinary Sciences 3839 24% 0% 45
3 Mathematics, Applied 751 26% 0% 48
4 Physics, Mathematical 42 5% 0% 9
5 Physics, Particles & Fields 2 2% 0% 4
6 Statistics & Probability -0 1% 0% 1
7 Ophthalmology -0 1% 0% 1
8 Computer Science, Theory & Methods -0 1% 0% 1
9 Physics, Multidisciplinary -0 2% 0% 3
10 Physics, Nuclear -0 1% 0% 1

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 BRANCH AMMOSOV 165057 1% 100% 1
2 MIRNYI POLYTECH 165057 1% 100% 1
3 POLYTECH BRANCH 165057 1% 100% 1
4 RABIGH SCI ART 69930 3% 8% 5
5 MIRNY POLYTECH 55018 1% 33% 1
6 MATH SIMON STOILOW 33010 1% 20% 1
7 UJFUMR 5582 33010 1% 20% 1
8 CNRSUMR 6629 18338 1% 11% 1
9 DPT MATH 7858 1% 5% 1
10 SOBOLEV MATH 4343 3% 1% 5

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 DIFFERENTIAL EQUATIONS 11318 9% 0% 16
2 DOKLADY AKADEMII NAUK 10617 13% 0% 24
3 DOKLADY MATHEMATICS 10569 8% 0% 14
4 DOKLADY AKADEMII NAUK SSSR 8343 18% 0% 33
5 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 4828 3% 1% 5
6 SIBERIAN MATHEMATICAL JOURNAL 2672 4% 0% 7
7 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 1762 2% 0% 3
8 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 1717 2% 0% 3
9 JOURNAL OF GEOMETRY AND PHYSICS 1608 3% 0% 5
10 ANNALES HENRI POINCARE 1496 2% 0% 3

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 UNSATURATED NUMERICAL METHOD 495170 2% 100% 3 Search UNSATURATED+NUMERICAL+METHOD Search UNSATURATED+NUMERICAL+METHOD
2 DOUBLE DEGENERATION 371376 2% 75% 3 Search DOUBLE+DEGENERATION Search DOUBLE+DEGENERATION
3 OPERATOR POTENTIAL 371376 2% 75% 3 Search OPERATOR+POTENTIAL Search OPERATOR+POTENTIAL
4 GRUSHIN DIFFERENTIAL OPERATOR 330113 1% 100% 2 Search GRUSHIN+DIFFERENTIAL+OPERATOR Search GRUSHIN+DIFFERENTIAL+OPERATOR
5 MANIFOLD OF BOUNDED GEOMETRY 330113 1% 100% 2 Search MANIFOLD+OF+BOUNDED+GEOMETRY Search MANIFOLD+OF+BOUNDED+GEOMETRY
6 COERCIVE ESTIMATE 330109 2% 50% 4 Search COERCIVE+ESTIMATE Search COERCIVE+ESTIMATE
7 M ACCRETIVE 247582 2% 50% 3 Search M+ACCRETIVE Search M+ACCRETIVE
8 BOUNDED GEOMETRY 179401 3% 22% 5 Search BOUNDED+GEOMETRY Search BOUNDED+GEOMETRY
9 AXISYMMETRIC NEUMANN PROBLEM 165057 1% 100% 1 Search AXISYMMETRIC+NEUMANN+PROBLEM Search AXISYMMETRIC+NEUMANN+PROBLEM
10 BI HARMONIC DIFFERENTIAL OPERATOR 165057 1% 100% 1 Search BI+HARMONIC+DIFFERENTIAL+OPERATOR Search BI+HARMONIC+DIFFERENTIAL+OPERATOR

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 ATIA, HA , (2015) SEPARATION PROBLEM FOR SECOND ORDER ELLIPTIC DIFFERENTIAL OPERATORS ON RIEMANNIAN MANIFOLDS.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 19. ISSUE 2. P. 229 -240 10 91% 1
2 ATIA, HA , (2016) MAGNETIC BI-HARMONIC DIFFERENTIAL OPERATORS ON RIEMANNIAN MANIFOLDS AND THE SEPARATION PROBLEM.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 51. ISSUE 5. P. 222 -226 9 90% 0
3 OSPANOV, K , (2015) L-1-MAXIMAL REGULARITY FOR QUASILINEAR SECOND ORDER DIFFERENTIAL EQUATION WITH DAMPED TERM.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 39. P. 1 -9 8 100% 0
4 ATIA, HA , ALSAEDI, RS , RAMADY, A , (2014) SEPARATION OF BI-HARMONIC DIFFERENTIAL OPERATORS ON RIEMANNIAN MANIFOLDS.FORUM MATHEMATICUM. VOL. 26. ISSUE 3. P. 953 -966 8 80% 3
5 ISKHOKOV, SA , GADOEV, MG , KONSTANTINOVA, TP , (2015) VARIATIONAL DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC OPERATORS GENERATED BY NONCOERCIVE FORMS.DOKLADY MATHEMATICS. VOL. 91. ISSUE 3. P. 255 -258 5 100% 0
6 ATIA, HA , (2014) SEPARATION PROBLEM FOR THE GRUSHIN DIFFERENTIAL OPERATOR IN BANACH SPACES.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 30. ISSUE 1. P. 31 -37 5 100% 0
7 OSPANOV, KN , AKHMETKALIYEVA, RD , (2012) SEPARATION AND THE EXISTENCE THEOREM FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 66. P. 1-12 6 86% 1
8 MILATOVIC, O , (2013) SEPARATION PROPERTY FOR SCHRODINGER OPERATORS IN L (P) -SPACES ON NON-COMPACT MANIFOLDS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 58. ISSUE 6. P. 853-864 5 100% 1
9 GUNEYSU, B , (2017) HEAT KERNELS IN THE CONTEXT OF KATO POTENTIALS ON ARBITRARY MANIFOLDS.POTENTIAL ANALYSIS. VOL. 46. ISSUE 1. P. 119 -134 8 53% 0
10 MILATOVIC, O , (2016) ON A POSITIVITY PRESERVATION PROPERTY FOR SCHRODINGER OPERATORS ON RIEMANNIAN MANIFOLDS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 144. ISSUE 1. P. 301 -313 6 67% 0

Classes with closest relation at Level 1


Rank Class id link
1 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
2 36756 BASIC EQUATION OF MAGNETOSTATICS//BODIES WITH INCLUSIONS//CYLINDER WITH FLAW
3 32239 ORIENTED DISTANCE FUNCTION//FEATURELESS OBJECTS//CIRCULANT SYMMETRY
4 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
5 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
6 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
7 6061 DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS
8 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
9 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP
10 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS

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