Class information for:
Level 1: FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
272 2             VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM 19256
12425 1                   FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS 937

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL LAPLACIAN authKW 3107489 22% 46% 203
2 FRACTIONAL P LAPLACIAN authKW 1046476 4% 84% 37
3 INTEGRO DIFFERENTIAL OPERATORS authKW 562130 4% 43% 39
4 FRACTIONAL SCHRODINGER EQUATION authKW 462605 3% 51% 27
5 FRACTIONAL SCHRODINGER EQUATIONS authKW 419125 2% 69% 18
6 DIPARTIMENTO PAU address 405650 3% 43% 28
7 FRACTIONAL SOBOLEV SPACES authKW 334333 3% 38% 26
8 THIN OBSTACLE PROBLEM authKW 201806 1% 100% 6
9 NONLINEAR FRACTIONAL DIFFUSION authKW 172975 1% 86% 6
10 QUASILINEAR NONLOCAL OPERATORS authKW 168172 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 23579 62% 0% 585
2 Mathematics 23163 67% 0% 632
3 Physics, Mathematical 1284 11% 0% 102
4 Mathematics, Interdisciplinary Applications 96 3% 0% 26
5 Mechanics 22 3% 0% 26
6 Physics, Multidisciplinary 20 4% 0% 37
7 Physics, Fluids & Plasmas 13 1% 0% 14
8 Statistics & Probability 1 1% 0% 8
9 Automation & Control Systems 0 0% 0% 4
10 Mathematical & Computational Biology -0 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO PAU 405650 3% 43% 28
2 STOCHAST CHAOT PROC SCI TECHNOL 90889 1% 27% 10
3 DIPARTIMENTO INGN CIVILE AMBIENTALE DICEA 67269 0% 100% 2
4 DIPARTIMENTO MATEMAT FEDERIGO ENRIQUES 42553 1% 14% 9
5 ANAL NONLINIAIRE MATH PL 33634 0% 100% 1
6 CAMILLE JORDANUNIV LYON 33634 0% 100% 1
7 CEREMADE CNRS UMR 7534 33634 0% 100% 1
8 IW SP ME 33634 0% 100% 1
9 JIANGSU NSLSCSS 33634 0% 100% 1
10 MATEMAT ESTADISTICA IO 33634 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 20043 3% 2% 32
2 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 16559 3% 2% 27
3 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 16477 3% 2% 25
4 ADVANCED NONLINEAR STUDIES 15495 2% 3% 17
5 ADVANCES IN NONLINEAR ANALYSIS 14318 1% 6% 7
6 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 14227 4% 1% 37
7 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 11594 2% 2% 17
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 9150 3% 1% 31
9 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 8082 2% 2% 15
10 JOURNAL OF DIFFERENTIAL EQUATIONS 7565 4% 1% 41

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FRACTIONAL LAPLACIAN 3107489 22% 46% 203 Search FRACTIONAL+LAPLACIAN Search FRACTIONAL+LAPLACIAN
2 FRACTIONAL P LAPLACIAN 1046476 4% 84% 37 Search FRACTIONAL+P+LAPLACIAN Search FRACTIONAL+P+LAPLACIAN
3 INTEGRO DIFFERENTIAL OPERATORS 562130 4% 43% 39 Search INTEGRO+DIFFERENTIAL+OPERATORS Search INTEGRO+DIFFERENTIAL+OPERATORS
4 FRACTIONAL SCHRODINGER EQUATION 462605 3% 51% 27 Search FRACTIONAL+SCHRODINGER+EQUATION Search FRACTIONAL+SCHRODINGER+EQUATION
5 FRACTIONAL SCHRODINGER EQUATIONS 419125 2% 69% 18 Search FRACTIONAL+SCHRODINGER+EQUATIONS Search FRACTIONAL+SCHRODINGER+EQUATIONS
6 FRACTIONAL SOBOLEV SPACES 334333 3% 38% 26 Search FRACTIONAL+SOBOLEV+SPACES Search FRACTIONAL+SOBOLEV+SPACES
7 THIN OBSTACLE PROBLEM 201806 1% 100% 6 Search THIN+OBSTACLE+PROBLEM Search THIN+OBSTACLE+PROBLEM
8 NONLINEAR FRACTIONAL DIFFUSION 172975 1% 86% 6 Search NONLINEAR+FRACTIONAL+DIFFUSION Search NONLINEAR+FRACTIONAL+DIFFUSION
9 QUASILINEAR NONLOCAL OPERATORS 168172 1% 100% 5 Search QUASILINEAR+NONLOCAL+OPERATORS Search QUASILINEAR+NONLOCAL+OPERATORS
10 CRITICAL NONLINEARITIES 160249 1% 53% 9 Search CRITICAL+NONLINEARITIES Search CRITICAL+NONLINEARITIES

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 20615 KIRCHHOFF TYPE PROBLEM//KIRCHHOFF TYPE EQUATION//KIRCHHOFF EQUATION
2 6654 LEVY SYSTEM//DIRICHLET FORM//SYMMETRIC STABLE PROCESS
3 13287 RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION
4 1997 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS
5 25375 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
6 23644 PERIDYNAMICS//PERIDYNAMIC MODEL//NONLOCAL DIFFUSION
7 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM
8 3666 CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY
9 1542 FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE
10 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM

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