Class information for:
Level 1: OVERDETERMINATION CONDITION//ULTRAPARABOLIC EQUATIONS//ANISOTROPIC UNIQUENESS CLASS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36205 84 15.3 17%



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
4006 2             POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS 684
36205 1                   OVERDETERMINATION CONDITION//ULTRAPARABOLIC EQUATIONS//ANISOTROPIC UNIQUENESS CLASS 84

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 OVERDETERMINATION CONDITION authKW 727039 2% 100% 2
2 ULTRAPARABOLIC EQUATIONS authKW 413083 6% 23% 5
3 ANISOTROPIC UNIQUENESS CLASS authKW 363520 1% 100% 1
4 CARLEMAN VEKUA REGULARIZATION METHOD authKW 363520 1% 100% 1
5 CAUCHY PROBLEMS FOR LINEAR PARABOLIC EQUATIONS authKW 363520 1% 100% 1
6 DIRICHLET PROBLEM WITH AND WITHOUT COMPATIBILITY CONDITIONS BETWEEN INITIAL AND BOUNDARY DATA authKW 363520 1% 100% 1
7 DOMAIN OF REVOLUTION authKW 363520 1% 100% 1
8 INITIAL VALUES OF BOUNDED TOTAL VARIATION authKW 363520 1% 100% 1
9 L 1 ESTIMATES FOR HIGHER ORDER DERIVATIVES authKW 363520 1% 100% 1
10 LOADED HEAT CONDUCTION OPERATOR authKW 363520 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 3219 83% 0% 70
2 Mathematics, Applied 418 29% 0% 24
3 Multidisciplinary Sciences 142 7% 0% 6
4 Physics, Mathematical 3 2% 0% 2
5 Mechanics 1 2% 0% 2
6 Computer Science, Information Systems 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 SOBOLEV MATH NOVOSIBIRSK 363520 1% 100% 1
2 MATH MATH SIMULAT 121172 1% 33% 1
3 MATH IMAGE PLICAT 29671 2% 4% 2
4 SPACE INFORMAT TECHNOL 22718 1% 6% 1
5 SL SOBOLEV MATH 10096 1% 3% 1
6 SOBOLEV MATH 9577 6% 1% 5
7 MINIST EDUC SCI 3993 1% 1% 1
8 AUTOMAT ELE OMETRY 1393 2% 0% 2
9 NAAM GRP 1354 1% 0% 1
10 DIPARTIMENTO MATEMAT 1284 8% 0% 7

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 SIBERIAN MATHEMATICAL JOURNAL 69493 29% 1% 24
2 NONLINEAR OSCILLATIONS 16904 2% 2% 2
3 JOURNAL OF EVOLUTION EQUATIONS 6202 4% 1% 3
4 DIFFERENTIAL EQUATIONS 4770 8% 0% 7
5 MATHEMATICS OF THE USSR-SBORNIK 4688 4% 0% 3
6 DIFFERENTIAL AND INTEGRAL EQUATIONS 4226 4% 0% 3
7 RUSSIAN MATHEMATICAL SURVEYS 3695 6% 0% 5
8 SBORNIK MATHEMATICS 2112 4% 0% 3
9 MATHEMATICAL NOTES 1819 6% 0% 5
10 UKRAINIAN MATHEMATICAL JOURNAL 1487 2% 0% 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 OVERDETERMINATION CONDITION 727039 2% 100% 2 Search OVERDETERMINATION+CONDITION Search OVERDETERMINATION+CONDITION
2 ULTRAPARABOLIC EQUATIONS 413083 6% 23% 5 Search ULTRAPARABOLIC+EQUATIONS Search ULTRAPARABOLIC+EQUATIONS
3 ANISOTROPIC UNIQUENESS CLASS 363520 1% 100% 1 Search ANISOTROPIC+UNIQUENESS+CLASS Search ANISOTROPIC+UNIQUENESS+CLASS
4 CARLEMAN VEKUA REGULARIZATION METHOD 363520 1% 100% 1 Search CARLEMAN+VEKUA+REGULARIZATION+METHOD Search CARLEMAN+VEKUA+REGULARIZATION+METHOD
5 CAUCHY PROBLEMS FOR LINEAR PARABOLIC EQUATIONS 363520 1% 100% 1 Search CAUCHY+PROBLEMS+FOR+LINEAR+PARABOLIC+EQUATIONS Search CAUCHY+PROBLEMS+FOR+LINEAR+PARABOLIC+EQUATIONS
6 DIRICHLET PROBLEM WITH AND WITHOUT COMPATIBILITY CONDITIONS BETWEEN INITIAL AND BOUNDARY DATA 363520 1% 100% 1 Search DIRICHLET+PROBLEM+WITH+AND+WITHOUT+COMPATIBILITY+CONDITIONS+BETWEEN+INITIAL+AND+BOUNDARY+DATA Search DIRICHLET+PROBLEM+WITH+AND+WITHOUT+COMPATIBILITY+CONDITIONS+BETWEEN+INITIAL+AND+BOUNDARY+DATA
7 DOMAIN OF REVOLUTION 363520 1% 100% 1 Search DOMAIN+OF+REVOLUTION Search DOMAIN+OF+REVOLUTION
8 INITIAL VALUES OF BOUNDED TOTAL VARIATION 363520 1% 100% 1 Search INITIAL+VALUES+OF+BOUNDED+TOTAL+VARIATION Search INITIAL+VALUES+OF+BOUNDED+TOTAL+VARIATION
9 L 1 ESTIMATES FOR HIGHER ORDER DERIVATIVES 363520 1% 100% 1 Search L+1+ESTIMATES+FOR+HIGHER+ORDER+DERIVATIVES Search L+1+ESTIMATES+FOR+HIGHER+ORDER+DERIVATIVES
10 LOADED HEAT CONDUCTION OPERATOR 363520 1% 100% 1 Search LOADED+HEAT+CONDUCTION+OPERATOR Search LOADED+HEAT+CONDUCTION+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 AMANGALIEVA, MM , DZHENALIEV, MT , KOSMAKOVA, MT , RAMAZANOV, MI , (2015) ON ONE HOMOGENEOUS PROBLEM FOR THE HEAT EQUATION IN AN INFINITE ANGULAR DOMAIN.SIBERIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 6. P. 982 -995 8 100% 0
2 LYUBANOVA, AS , (2015) ON SOME BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF PSEUDOPARABOLIC EQUATIONS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 4. P. 662 -677 6 100% 0
3 AKHMETOV, DR , SPIGLER, R , (2007) L-1-ESTIMATES FOR THE HIGHER-ORDER DERIVATIVES OF SOLUTIONS TO PARABOLIC EQUATIONS SUBJECT TO INITIAL VALUES OF BOUNDED TOTAL VARIATION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 6. ISSUE 4. P. 1051-1074 8 73% 0
4 AKHMETOV, DR , LAVRENTIEV, MM , SPIGLER, R , (2011) SINGULAR PERTURBATIONS OF PARABOLIC EQUATIONS WITHOUT BOUNDARY LAYERS.APPLICABLE ANALYSIS. VOL. 90. ISSUE 12. P. 1803-1818 7 70% 0
5 AKHMETOV, DR , SPIGLER, R , (2007) UNIFORM AND OPTIMAL ESTIMATES FOR SOLUTIONS TO SINGULARLY PERTURBED PARABOLIC EQUATIONS.JOURNAL OF EVOLUTION EQUATIONS. VOL. 7. ISSUE 2. P. 347-372 8 67% 3
6 AKHMETOV, DR , LAVRENTIEV, MM , SPIGLER, R , (2004) SINGULAR PERTURBATIONS FOR PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS LEADING TO ULTRAPARABOLIC EQUATIONS.DIFFERENTIAL AND INTEGRAL EQUATIONS. VOL. 17. ISSUE 1-2. P. 99-118 9 64% 5
7 AKHMETOV, DR , SPIGLER, R , (2006) SUPREMUM PRINCIPLES FOR THE HIGHER-ORDER DERIVATIVES OF SOLUTIONS TO THE DIRICHLET PROBLEM FOR PARABOLIC EQUATIONS WITHOUT COMPATIBILITY CONDITIONS BETWEEN THE DATA.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 230. ISSUE 1. P. 86-127 5 83% 0
8 VIL'DANOVA, VF , MUKMINOV, FK , (2013) ANISOTROPIC UNIQUENESS CLASSES FOR A DEGENERATE PARABOLIC EQUATION.SBORNIK MATHEMATICS. VOL. 204. ISSUE 11. P. 1584 -1597 4 80% 0
9 AKHMANOVA, DM , DZHENALIEV, MT , RAMAZANOV, MI , (2011) ON A PARTICULAR SECOND KIND VOLTERRA INTEGRAL EQUATION WITH A SPECTRAL PARAMETER.SIBERIAN MATHEMATICAL JOURNAL. VOL. 52. ISSUE 1. P. 1-10 3 100% 0
10 KOZHEVNIKOVA, LM , (2007) UNIQUENESS CLASSES FOR SOLUTIONS IN UNBOUNDED DOMAINS OF THE FIRST MIXED PROBLEM FOR THE EQUATION U(T) = AU WITH QUASI-ELLIPTIC OPERATOR A.SBORNIK MATHEMATICS. VOL. 198. ISSUE 1-2. P. 55-96 4 80% 2

Classes with closest relation at Level 1



Rank Class id link
1 32445 ANISOTROPIC SINGULAR PERTURBATIONS//GENERALIZED INITIAL DATA//SHILOV PARABOLIC SYSTEMS WITH VARIABLE COEFFICIENTS
2 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
3 31147 PHASE TRANSITIONS OF FIRST KIND//FERMATS PRINCIPLE IN OPTICS//KINETIC BOUNDARY LAYERS
4 4343 KURAMOTO MODEL//AMPLITUDE DEATH//COUPLED OSCILLATORS
5 7697 ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM
6 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD
7 5583 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP
8 31537 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
9 24073 QUASINORMAL FORM//DIFFUSION CHAOS//DYNAMICS OF THE LOGISTIC DELAY EQUATION
10 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS

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