Class information for:
Level 1: P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14226 783 14.1 27%



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
14226 1                   P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS 783

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 P EVOLUTION EQUATIONS authKW 233979 1% 100% 6
2 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY journal 204199 10% 7% 79
3 GEVREY WELL POSEDNESS authKW 194983 1% 100% 5
4 LEVI CONDITIONS authKW 162484 1% 83% 5
5 H INFINITY WELL POSEDNESS authKW 155986 1% 100% 4
6 PROPAGATION OF THE SINGULARITIES authKW 155986 1% 100% 4
7 LOSS OF REGULARITY authKW 155982 1% 67% 6
8 WEAKLY HYPERBOLIC EQUATIONS authKW 139270 1% 71% 5
9 NON REGULAR COEFFICIENTS authKW 124787 1% 80% 4
10 WEAKLY HYPERBOLIC authKW 124787 1% 80% 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 35033 90% 0% 704
2 Mathematics, Applied 4882 32% 0% 249
3 Multidisciplinary Sciences 88 2% 0% 16
4 Physics, Mathematical 11 2% 0% 14
5 Limnology -0 0% 0% 1
6 Automation & Control Systems -2 0% 0% 1
7 Computer Science, Information Systems -2 0% 0% 2
8 Statistics & Probability -3 0% 0% 1
9 Mechanics -4 0% 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 UFR 920 45484 1% 17% 7
2 COMPUTAT PL MATHEMEMAT 38997 0% 100% 1
3 D187 38997 0% 100% 1
4 DIPARTIMENTO SCI ECONOM METOD MATEMAT 38997 0% 100% 1
5 EQUIPE MODELISATFSTM 38997 0% 100% 1
6 FSTD 38997 0% 100% 1
7 MATH IMJ 38997 0% 100% 1
8 NETWORK MULTIMEDIA ENGN 38997 0% 100% 1
9 POLITECN NACL MEXICO DF 38997 0% 100% 1
10 SHAKHTY TECHNOL REGULAR MAINTENANCE 38997 0% 100% 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 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 204199 10% 7% 79
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 56048 8% 2% 59
3 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 40297 5% 3% 36
4 OSAKA JOURNAL OF MATHEMATICS 37182 5% 2% 42
5 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 36584 6% 2% 46
6 BULLETIN DES SCIENCES MATHEMATIQUES 20044 3% 2% 25
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 18983 3% 2% 26
8 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 12405 7% 1% 52
9 JOURNAL D ANALYSE MATHEMATIQUE 8472 2% 1% 16
10 JOURNAL OF DIFFERENTIAL EQUATIONS 7777 5% 1% 38

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 P EVOLUTION EQUATIONS 233979 1% 100% 6 Search P+EVOLUTION+EQUATIONS Search P+EVOLUTION+EQUATIONS
2 GEVREY WELL POSEDNESS 194983 1% 100% 5 Search GEVREY+WELL+POSEDNESS Search GEVREY+WELL+POSEDNESS
3 LEVI CONDITIONS 162484 1% 83% 5 Search LEVI+CONDITIONS Search LEVI+CONDITIONS
4 H INFINITY WELL POSEDNESS 155986 1% 100% 4 Search H+INFINITY+WELL+POSEDNESS Search H+INFINITY+WELL+POSEDNESS
5 PROPAGATION OF THE SINGULARITIES 155986 1% 100% 4 Search PROPAGATION+OF+THE+SINGULARITIES Search PROPAGATION+OF+THE+SINGULARITIES
6 LOSS OF REGULARITY 155982 1% 67% 6 Search LOSS+OF+REGULARITY Search LOSS+OF+REGULARITY
7 WEAKLY HYPERBOLIC EQUATIONS 139270 1% 71% 5 Search WEAKLY+HYPERBOLIC+EQUATIONS Search WEAKLY+HYPERBOLIC+EQUATIONS
8 NON REGULAR COEFFICIENTS 124787 1% 80% 4 Search NON+REGULAR+COEFFICIENTS Search NON+REGULAR+COEFFICIENTS
9 WEAKLY HYPERBOLIC 124787 1% 80% 4 Search WEAKLY+HYPERBOLIC Search WEAKLY+HYPERBOLIC
10 GEVREY SPACES 121477 1% 35% 9 Search GEVREY+SPACES Search GEVREY+SPACES

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 ASCANELLI, A , BOITI, C , (2016) SEMILINEAR P-EVOLUTION EQUATIONS IN SOBOLEV SPACES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 10. P. 7563 -7605 18 90% 0
2 ASCANELLI, A , CAPPIELLO, M , (2015) WEIGHTED ENERGY ESTIMATES FOR P-EVOLUTION EQUATIONS IN SG CLASSES.JOURNAL OF EVOLUTION EQUATIONS. VOL. 15. ISSUE 3. P. 583 -607 16 100% 0
3 GARETTO, C , RUZHANSKY, M , (2017) ON HYPERBOLIC SYSTEMS WITH TIME-DEPENDENT HOLDER CHARACTERISTICS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 196. ISSUE 1. P. 155 -164 14 100% 0
4 ASCANELLI, A , BOITI, C , (2013) CAUCHY PROBLEM FOR HIGHER ORDER P-EVOLUTION EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 9. P. 2672-2708 15 100% 1
5 TAKEUCHI, J , (2002) INDEPENDENT SYMMETRIZATIONS OF TIME FOR CERTAIN SCHRODINGER-TYPE OPERATORS (I).BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. VOL. 5B. ISSUE 1. P. 1-53 22 88% 0
6 CICOGNANI, M , COLOMBINI, F , (2013) A WELL-POSED CAUCHY PROBLEM FOR AN EVOLUTION EQUATION WITH COEFFICIENTS OF LOW REGULARITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 8. P. 3573-3595 13 100% 3
7 ASCANELLI, A , CICOGNANI, M , (2007) SCHRODINGER EQUATIONS OF HIGHER ORDER.MATHEMATISCHE NACHRICHTEN. VOL. 280. ISSUE 7. P. 717-727 16 89% 1
8 ASCANELLI, A , BOITI, C , (2013) WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR P-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS.JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. VOL. 4. ISSUE 2. P. 113 -143 12 100% 1
9 GARETTO, C , (2015) ON HYPERBOLIC EQUATIONS AND SYSTEMS WITH NON-REGULAR TIME DEPENDENT COEFFICIENTS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 11. P. 5846 -5874 13 87% 0
10 GARETTO, C , RUZHANSKY, M , (2015) HYPERBOLIC SECOND ORDER EQUATIONS WITH NON-REGULAR TIME DEPENDENT COEFFICIENTS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 217. ISSUE 1. P. 113 -154 14 78% 1

Classes with closest relation at Level 1



Rank Class id link
1 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
2 17494 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
3 17525 COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY
4 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
5 37240 VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS
6 25100 TRICOMI PROBLEM//MIXED TYPE EQUATION//PARABOLIC DEGENERACY
7 13158 D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE
8 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
9 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
10 10246 SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS

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