Class information for:
Level 1: TRICOMI PROBLEM//MIXED TYPE EQUATION//PARABOLIC DEGENERACY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25100 291 15.5 18%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
2891 2             BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 2822
25100 1                   TRICOMI PROBLEM//MIXED TYPE EQUATION//PARABOLIC DEGENERACY 291

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 TRICOMI PROBLEM authKW 386330 3% 41% 9
2 MIXED TYPE EQUATION authKW 353446 3% 42% 8
3 PARABOLIC DEGENERACY authKW 335781 1% 80% 4
4 NONLINEAR MIXED EQUATIONS authKW 314796 1% 100% 3
5 OBLIQUE DERIVATIVE PROBLEM authKW 279808 3% 33% 8
6 STERLITAMAK address 262325 2% 50% 5
7 TRICOMI EQUATION authKW 238477 2% 45% 5
8 CLOSED BOUNDARY VALUE PROBLEMS authKW 209864 1% 100% 2
9 DEGENERATE CURVE authKW 209864 1% 100% 2
10 DEGENERATE HYPERBOLIC CURVE authKW 209864 1% 100% 2

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 7516 69% 0% 200
2 Multidisciplinary Sciences 2631 16% 0% 47
3 Mathematics, Applied 1672 31% 0% 89
4 Physics, Mathematical 15 3% 0% 8
5 Engineering, Aerospace 8 1% 0% 3
6 Mechanics 7 3% 0% 8
7 Physics, Fluids & Plasmas 6 2% 0% 5
8 Mathematics, Interdisciplinary Applications -0 0% 0% 1
9 Engineering, General -0 0% 0% 1
10 Computer Science, Theory & Methods -1 0% 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 STERLITAMAK 262325 2% 50% 5
2 STERLITAMAK STATE PEDAG 209864 1% 100% 2
3 INFORMAT SYST PL MATH 104932 0% 100% 1
4 KABARDINOBALKAR SCI 104932 0% 100% 1
5 RUSSIA PL STUDIES 104932 0% 100% 1
6 TEACHERS MAKKAH 104932 0% 100% 1
7 STERLITAMAK BRANCH 85843 2% 14% 6
8 PRACT MATH 52465 0% 50% 1
9 PL MATH AUTOMAT 39145 2% 7% 5
10 CONTENT METHODS EDUC 34976 0% 33% 1

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 94700 20% 2% 58
2 DOKLADY AKADEMII NAUK SSSR 6290 12% 0% 36
3 MATHEMATICAL NOTES 3018 4% 0% 12
4 SIBERIAN MATHEMATICAL JOURNAL 2805 3% 0% 9
5 MATHEMATISCHE NACHRICHTEN 2605 3% 0% 10
6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 2355 2% 0% 6
7 DOKLADY MATHEMATICS 1670 2% 0% 7
8 THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS 1363 1% 0% 3
9 COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES 1243 2% 0% 5
10 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 1222 2% 0% 6

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 TRICOMI PROBLEM 386330 3% 41% 9 Search TRICOMI+PROBLEM Search TRICOMI+PROBLEM
2 MIXED TYPE EQUATION 353446 3% 42% 8 Search MIXED+TYPE+EQUATION Search MIXED+TYPE+EQUATION
3 PARABOLIC DEGENERACY 335781 1% 80% 4 Search PARABOLIC+DEGENERACY Search PARABOLIC+DEGENERACY
4 NONLINEAR MIXED EQUATIONS 314796 1% 100% 3 Search NONLINEAR+MIXED+EQUATIONS Search NONLINEAR+MIXED+EQUATIONS
5 OBLIQUE DERIVATIVE PROBLEM 279808 3% 33% 8 Search OBLIQUE+DERIVATIVE+PROBLEM Search OBLIQUE+DERIVATIVE+PROBLEM
6 TRICOMI EQUATION 238477 2% 45% 5 Search TRICOMI+EQUATION Search TRICOMI+EQUATION
7 CLOSED BOUNDARY VALUE PROBLEMS 209864 1% 100% 2 Search CLOSED+BOUNDARY+VALUE+PROBLEMS Search CLOSED+BOUNDARY+VALUE+PROBLEMS
8 DEGENERATE CURVE 209864 1% 100% 2 Search DEGENERATE+CURVE Search DEGENERATE+CURVE
9 DEGENERATE HYPERBOLIC CURVE 209864 1% 100% 2 Search DEGENERATE+HYPERBOLIC+CURVE Search DEGENERATE+HYPERBOLIC+CURVE
10 DEGENERATE RANK 0 209864 1% 100% 2 Search DEGENERATE+RANK+0 Search DEGENERATE+RANK+0

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 LUPO, D , PAYNE, KR , POPIVANOV, NI , (2014) ON THE DEGENERATE HYPERBOLIC GOURSAT PROBLEM FOR LINEAR AND NONLINEAR EQUATIONS OF TRICOMI TYPE.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 108. ISSUE . P. 29 -56 15 100% 6
2 DECHEVSKI, L , POPIVANOV, N , POPOV, T , (2012) EXACT ASYMPTOTIC EXPANSION OF SINGULAR SOLUTIONS FOR THE (2+1)-D PROTTER PROBLEM.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 16 100% 0
3 NIKOLOV, A , POPIVANOV, N , (2012) EXACT BEHAVIOR OF SINGULAR SOLUTIONS TO PROTTER'S PROBLEM WITH LOWER ORDER TERMS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 12 100% 0
4 POPIVANOV, N , POPOV, T , SCHERER, R , (2012) PROTTER-MORAWETZ MULTIDIMENSIONAL PROBLEMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 278. ISSUE 1. P. 179 -198 11 92% 0
5 OTWAY, TH , (2012) SUMMARY AND ADDENDA.DIRICHLET PROBLEM FOR ELLIPTIC-HYPERBOLIC EQUATIONS OF KELDYSH TYPE. VOL. 2043. ISSUE . P. 169 -183 9 100% 0
6 HE, CJ , LIU, CY , (2011) NONEXISTENCE FOR MIXED-TYPE EQUATIONS WITH CRITICAL EXPONENT NONLINEARITY IN A BALL.APPLIED MATHEMATICS LETTERS. VOL. 24. ISSUE 5. P. 679-686 9 90% 1
7 OTWAY, TH , (2012) DIRECTIONS FOR FUTURE RESEARCH.DIRICHLET PROBLEM FOR ELLIPTIC-HYPERBOLIC EQUATIONS OF KELDYSH TYPE. VOL. 2043. ISSUE . P. 185 -211 20 37% 0
8 YAGDJIAN, K , (2015) INTEGRAL TRANSFORM APPROACH TO GENERALIZED TRICOMI EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 11. P. 5927 -5981 12 55% 0
9 YAGDJIAN, K , (2007) THE SELF-SIMILAR SOLUTIONS OF THE ONE-DIMENSIONAL SEMILINEAR TRICOMI-TYPE EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 236. ISSUE 1. P. 82-115 12 63% 1
10 POPIVANOV, N , POPOV, T , SCHERER, R , (2010) SEMI-FREDHOLM SOLVABILITY OR EXPONENTIAL GROWTH FOR (3+1)-D PROTTER PROBLEMS.COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES. VOL. 63. ISSUE 7. P. 953 -960 7 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
2 35928 FIELD PARTICLES VELOCITY DISTRIBUTION//FOKKER PLANCK COEFFICIENTS//MODERATELY COUPLED PLASMA
3 13205 DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS
4 22855 FLUIDODINAM MACCHINE//3D AERODYNAMICS OF TURBOMACHINERY//EXPANSION SHOCK WAVES
5 34275 NONLINEAR INTEGRO PARTIAL DIFFERENTIAL EQUATION//EPIDEMIC SYSTEMS//INTEGRAL NONLOCAL TERM
6 14226 P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS
7 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS
8 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
9 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
10 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE

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