Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 17525 | 595 | 16.8 | 29% |
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 |
| 17525 | 1 | COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY | 595 |
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 | COMPLEX VECTOR FIELDS | authKW | 597155 | 3% | 73% | 16 |
| 2 | NON COMMUTATIVE HARMONIC OSCILLATOR | authKW | 513187 | 2% | 100% | 10 |
| 3 | HYPOELLIPTICITY | authKW | 473526 | 5% | 34% | 27 |
| 4 | ANALYTIC HYPOELLIPTICITY | authKW | 415680 | 2% | 90% | 9 |
| 5 | SUMS OF SQUARES OF VECTOR FIELDS | authKW | 359231 | 1% | 100% | 7 |
| 6 | GLOBAL HYPOELLIPTICITY | authKW | 320734 | 2% | 63% | 10 |
| 7 | GLOBAL SOLVABILITY | authKW | 308742 | 3% | 32% | 19 |
| 8 | NONHOMOGENEOUS CALCULUS | authKW | 307912 | 1% | 100% | 6 |
| 9 | SEMI GLOBAL SOLVABILITY | authKW | 307912 | 1% | 100% | 6 |
| 10 | LOCAL SOLVABILITY | authKW | 256574 | 3% | 33% | 15 |
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 | 29864 | 95% | 0% | 566 |
| 2 | Mathematics, Applied | 3263 | 30% | 0% | 178 |
| 3 | Physics, Mathematical | 13 | 2% | 0% | 12 |
| 4 | Multidisciplinary Sciences | 3 | 1% | 0% | 4 |
| 5 | Rehabilitation | -1 | 0% | 0% | 1 |
| 6 | Mechanics | -5 | 0% | 0% | 1 |
| 7 | Physics, Multidisciplinary | -10 | 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 | DISABLED PERSONS INDEPENDENCE MOVEMENT ORAL HIST | 51319 | 0% | 100% | 1 |
| 2 | FR CNRS 3899 | 51319 | 0% | 100% | 1 |
| 3 | G BONCHEV B18 | 51319 | 0% | 100% | 1 |
| 4 | MATH CUNY | 51319 | 0% | 100% | 1 |
| 5 | BU CAMPUS HILL | 25658 | 0% | 50% | 1 |
| 6 | PROJECT ANAL FONCT | 25658 | 0% | 50% | 1 |
| 7 | PROJET ANALYSE FONCT | 25658 | 0% | 50% | 1 |
| 8 | CIENCIAS MATEMAT COMP | 23696 | 2% | 3% | 14 |
| 9 | ANAL ALGEBR | 17105 | 0% | 33% | 1 |
| 10 | BANCROFT LIB | 8551 | 0% | 17% | 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 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 68873 | 10% | 2% | 57 |
| 2 | JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 21174 | 1% | 5% | 8 |
| 3 | JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 17196 | 3% | 2% | 20 |
| 4 | KYUSHU JOURNAL OF MATHEMATICS | 9621 | 1% | 3% | 7 |
| 5 | JOURNAL OF DIFFERENTIAL EQUATIONS | 6381 | 5% | 0% | 30 |
| 6 | PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 5879 | 2% | 1% | 12 |
| 7 | JOURNAL D ANALYSE MATHEMATIQUE | 4351 | 2% | 1% | 10 |
| 8 | JOURNAL OF FUNCTIONAL ANALYSIS | 4152 | 4% | 0% | 23 |
| 9 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 4060 | 5% | 0% | 27 |
| 10 | BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 3572 | 2% | 1% | 12 |
Author Key Words |
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 | PETRONILHO, G , ZANI, SL , (2008) GLOBAL S-SOLVABILITY AND GLOBAL S-HYPOELLIPTICITY FOR CERTAIN PERTURBATIONS OF ZERO ORDER OF SYSTEMS OF CONSTANT REAL VECTOR FIELDS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 244. ISSUE 9. P. 2372-2403 | 34 | 100% | 0 |
| 2 | PETRONILHO, G , (2009) ON GEVREY SOLVABILITY AND REGULARITY.MATHEMATISCHE NACHRICHTEN. VOL. 282. ISSUE 3. P. 470-481 | 32 | 97% | 3 |
| 3 | PARMEGGIANI, A , (2014) NON-COMMUTATIVE HARMONIC OSCILLATORS AND RELATED PROBLEMS.MILAN JOURNAL OF MATHEMATICS. VOL. 82. ISSUE 2. P. 343 -387 | 23 | 85% | 2 |
| 4 | HIMONAS, AA , PETRONILHO, G , DOS SANTOS, LAC , (2012) GLOBAL ANALYTIC, GEVREY AND C8 HYPOELLIPTICITY ON THE 3-TORUS.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 2-3. P. 265 -282 | 21 | 95% | 0 |
| 5 | HIMONAS, AA , PETRONILHO, G , DOS SANTOS, LAC , (2006) REGULARITY OF A CLASS OF SUBLAPLACIANS ON THE 3-DIMENSIONAL TORUS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 240. ISSUE 2. P. 568-591 | 24 | 96% | 3 |
| 6 | ALBANESE, AA , JORNET, D , (2014) GLOBAL REGULARITY IN ULTRADIFFERENTIABLE CLASSES.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 193. ISSUE 2. P. 369 -387 | 23 | 79% | 0 |
| 7 | HIMONAS, AA , PETRONILHO, G , (2004) ON GEVREY REGULARITY OF GLOBALLY C-INFINITY HYPOELLIPTIC OPERATORS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 207. ISSUE 2. P. 267-284 | 24 | 96% | 3 |
| 8 | BOVE, A , MUGHETTI, M , (2016) ON A NEW METHOD OF PROVING GEVREY HYPOELLIPTICITY FOR CERTAIN SUMS OF SQUARES.ADVANCES IN MATHEMATICS. VOL. 293. ISSUE . P. 146 -220 | 15 | 100% | 0 |
| 9 | COSTIN, O , COSTIN, RD , (2003) FAILURE OF ANALYTIC HYPOELLIPTICITY IN A CLASS OF DIFFERENTIAL OPERATORS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 2. ISSUE 1. P. 21-45 | 17 | 100% | 3 |
| 10 | CHEN, H , LUO, P , TIAN, SY , (2015) MULTIPLICITY AND REGULARITY OF SOLUTIONS FOR INFINITELY DEGENERATE ELLIPTIC EQUATIONS WITH A FREE PERTURBATION.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 103. ISSUE 4. P. 849 -867 | 14 | 88% | 0 |
Classes with closest relation at Level 1 |