Class information for:
Level 1: THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21774 406 18.5 34%


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
2568 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS 3706
21774 1                   THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS 406

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 THIN DOMAINS authKW 512251 5% 36% 19
2 CONCENTRATING TERMS authKW 376047 1% 100% 5
3 DUMBBELL DOMAINS authKW 313371 1% 83% 5
4 STEKLOV EIGENPROBLEMS authKW 313371 1% 83% 5
5 VARYING BOUNDARY authKW 300838 1% 100% 4
6 CONCENTRATING INTEGRALS authKW 225628 1% 100% 3
7 PARTIAL DIFFERENTIAL EQUATIONS ON INFINITE DIMENSIONAL SPACES authKW 225628 1% 100% 3
8 WEIGHTED ELLIPTIC EIGENVALUE PROBLEM authKW 225628 1% 100% 3
9 GRP DINAM LINEAL address 200556 1% 67% 4
10 OSCILLATORY BOUNDARY authKW 200556 1% 67% 4

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 10177 68% 0% 275
2 Mathematics, Applied 5471 46% 0% 187
3 Multidisciplinary Sciences 170 4% 0% 15
4 Physics, Mathematical 84 5% 0% 19
5 Mathematics, Interdisciplinary Applications 24 2% 0% 9
6 Mechanics 15 3% 0% 13
7 Automation & Control Systems 11 1% 0% 6
8 Physics, Multidisciplinary 8 4% 0% 16
9 Engineering, General 0 1% 0% 3
10 Statistics & Probability 0 1% 0% 3

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 GRP DINAM LINEAL 200556 1% 67% 4
2 INTEGRATED INFORMAT NETWORK SYST GRP 75209 0% 100% 1
3 DPT INFORMAT MATEMAT LICADA 75207 0% 50% 2
4 CIENCIAS MATEMAT SAO CARLOS 75201 1% 20% 5
5 COMPUTATIONAL PL MATH 37604 0% 50% 1
6 CIENCIAS MATEMAT COMPUTACAO 33113 2% 4% 10
7 CIENCIA MATEMAT SAO CARLOS 25068 0% 33% 1
8 MATEMAT LICADA 19394 9% 1% 37
9 TEXAS LEARNING COMPUTAT 18801 0% 25% 1
10 ESCOLA ARTES CIENCIAS HUMANIDADES 16474 2% 2% 10

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 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 24315 7% 1% 27
2 JOURNAL OF DIFFERENTIAL EQUATIONS 15875 10% 1% 39
3 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 15766 2% 3% 8
4 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 3430 1% 2% 3
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3274 6% 0% 23
6 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 2708 1% 1% 4
7 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 1976 2% 0% 8
8 JOURNAL OF SPECTRAL THEORY 1975 0% 1% 2
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 1640 2% 0% 9
10 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 1588 0% 1% 2

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 THIN DOMAINS 512251 5% 36% 19 Search THIN+DOMAINS Search THIN+DOMAINS
2 CONCENTRATING TERMS 376047 1% 100% 5 Search CONCENTRATING+TERMS Search CONCENTRATING+TERMS
3 DUMBBELL DOMAINS 313371 1% 83% 5 Search DUMBBELL+DOMAINS Search DUMBBELL+DOMAINS
4 STEKLOV EIGENPROBLEMS 313371 1% 83% 5 Search STEKLOV+EIGENPROBLEMS Search STEKLOV+EIGENPROBLEMS
5 VARYING BOUNDARY 300838 1% 100% 4 Search VARYING+BOUNDARY Search VARYING+BOUNDARY
6 CONCENTRATING INTEGRALS 225628 1% 100% 3 Search CONCENTRATING+INTEGRALS Search CONCENTRATING+INTEGRALS
7 PARTIAL DIFFERENTIAL EQUATIONS ON INFINITE DIMENSIONAL SPACES 225628 1% 100% 3 Search PARTIAL+DIFFERENTIAL+EQUATIONS+ON+INFINITE+DIMENSIONAL+SPACES Search PARTIAL+DIFFERENTIAL+EQUATIONS+ON+INFINITE+DIMENSIONAL+SPACES
8 WEIGHTED ELLIPTIC EIGENVALUE PROBLEM 225628 1% 100% 3 Search WEIGHTED+ELLIPTIC+EIGENVALUE+PROBLEM Search WEIGHTED+ELLIPTIC+EIGENVALUE+PROBLEM
9 OSCILLATORY BOUNDARY 200556 1% 67% 4 Search OSCILLATORY+BOUNDARY Search OSCILLATORY+BOUNDARY
10 EXTERIOR REGIONS 171904 1% 57% 4 Search EXTERIOR+REGIONS Search EXTERIOR+REGIONS

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 ARRIETA, JM , CARVALHO, AN , PEREIRA, MC , SILVA, RP , (2011) SEMILINEAR PARABOLIC PROBLEMS IN THIN DOMAINS WITH A HIGHLY OSCILLATORY BOUNDARY.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 15. P. 5111 -5132 15 100% 6
2 SILVA, RP , (2014) A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 89. ISSUE 1. P. 141-148 14 100% 1
3 PEREIRA, MC , (2015) PARABOLIC PROBLEMS IN HIGHLY OSCILLATING THIN DOMAINS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 194. ISSUE 4. P. 1203 -1244 18 72% 2
4 GADYL'SHIN, RR , (2005) ON THE EIGENVALUES OF A "DUMB-BELL WITH A THIN HANDLE".IZVESTIYA MATHEMATICS. VOL. 69. ISSUE 2. P. 265-329 17 94% 11
5 ARAGAO, GS , PEREIRA, AL , PEREIRA, MC , (2014) ATTRACTORS FOR A NONLINEAR PARABOLIC PROBLEM WITH TERMS CONCENTRATING ON THE BOUNDARY.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 26. ISSUE 4. P. 871 -888 12 100% 1
6 CARVALHO, AN , PISKAREV, S , (2006) A GENERAL APPROXIMATION SCHEME FOR ATTRACTORS OF ABSTRACT PARABOLIC PROBLEMS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 27. ISSUE 7-8. P. 785-829 21 68% 18
7 BARROS, SRM , PEREIRA, MC , (2016) SEMILINEAR ELLIPTIC EQUATIONS IN THIN DOMAINS WITH REACTION TERMS CONCENTRATING ON BOUNDARY.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 375 -392 16 70% 0
8 KAN, T , (2010) PERSISTENCE OF THE BIFURCATION STRUCTURE FOR A SEMILINEAR ELLIPTIC PROBLEM ON THIN DOMAINS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 73. ISSUE 9. P. 2941-2956 16 73% 0
9 FIGUEROA-LOPEZ, RN , LOZADA-CRUZ, G , (2016) DYNAMICS OF PARABOLIC EQUATIONS VIA THE FINITE ELEMENT METHOD I. CONTINUITY OF THE SET OF EQUILIBRIA.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 9. P. 5235 -5259 10 100% 0
10 JIMBO, S , KOSUGI, S , (2009) SPECTRA OF DOMAINS WITH PARTIAL DEGENERATION.JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO. VOL. 16. ISSUE 3. P. 269 -414 18 64% 5

Classes with closest relation at Level 1


Rank Class id link
1 18050 OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS
2 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
3 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
4 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
5 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
6 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS
7 7203 DOPPLER//TRAPPED MODES//POINT INTERACTIONS
8 21417 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//FR CNRS MATH 2956
9 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
10 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION

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