Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 20760 | 446 | 18.9 | 46% |
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 |
| 1160 | 2 | STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP | 9464 |
| 20760 | 1 | DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION | 446 |
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 | DISSIPATIVE WAVE EQUATION | authKW | 700190 | 3% | 68% | 15 |
| 2 | DAMPED WAVE EQUATION | authKW | 682231 | 8% | 29% | 34 |
| 3 | KIRCHHOFF EQUATION | authKW | 665571 | 8% | 28% | 35 |
| 4 | SEMILINEAR DAMPED WAVE EQUATION | authKW | 504141 | 2% | 82% | 9 |
| 5 | DIFFUSION PHENOMENON | authKW | 456420 | 2% | 67% | 10 |
| 6 | DIPARTIMENTO MATEMAT PLICATA ULISSE DINI | address | 311189 | 2% | 45% | 10 |
| 7 | NONCOMPACTLY SUPPORTED INITIAL DATA | authKW | 273856 | 1% | 100% | 4 |
| 8 | ASYMPTOTIC PROFILE | authKW | 257102 | 3% | 29% | 13 |
| 9 | NONLINEAR DAMPED WAVE EQUATIONS | authKW | 219083 | 1% | 80% | 4 |
| 10 | SMALL DATA SOLUTIONS | authKW | 219083 | 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 | 13317 | 74% | 0% | 329 |
| 2 | Mathematics, Applied | 11364 | 63% | 0% | 280 |
| 3 | Multidisciplinary Sciences | 62 | 2% | 0% | 10 |
| 4 | Physics, Mathematical | 6 | 2% | 0% | 8 |
| 5 | Mechanics | 2 | 2% | 0% | 8 |
| 6 | Engineering, Mechanical | -0 | 1% | 0% | 4 |
| 7 | Computer Science, Software Engineering | -0 | 0% | 0% | 2 |
| 8 | Computer Science, Interdisciplinary Applications | -0 | 0% | 0% | 2 |
| 9 | Mathematics, Interdisciplinary Applications | -1 | 0% | 0% | 1 |
| 10 | Engineering, General | -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 | DIPARTIMENTO MATEMAT PLICATA ULISSE DINI | 311189 | 2% | 45% | 10 |
| 2 | DIPARTIMENTO MATEMAT LEONIDA TONELLI | 168516 | 2% | 31% | 8 |
| 3 | COMP MATEMAT | 139706 | 2% | 20% | 10 |
| 4 | ENGN PROD ENVIRONM | 117358 | 1% | 29% | 6 |
| 5 | POLIT SCI ECON | 68702 | 4% | 6% | 16 |
| 6 | A YASAWI INT | 68464 | 0% | 100% | 1 |
| 7 | FUJISAWACHUO BRANCH | 68464 | 0% | 100% | 1 |
| 8 | INTEGRATED ARTS SCI MATH SCI | 68464 | 0% | 100% | 1 |
| 9 | NAS AZERBAIJAN | 54769 | 0% | 40% | 2 |
| 10 | INTELLIGENT MECH ENGN | 38087 | 2% | 7% | 8 |
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 DIFFERENTIAL EQUATIONS | 25713 | 12% | 1% | 52 |
| 2 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 14888 | 6% | 1% | 28 |
| 3 | ASYMPTOTIC ANALYSIS | 14809 | 4% | 1% | 16 |
| 4 | ADVANCES IN DIFFERENTIAL EQUATIONS | 10594 | 2% | 2% | 8 |
| 5 | FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 9432 | 1% | 2% | 6 |
| 6 | DIFFERENTIAL AND INTEGRAL EQUATIONS | 8837 | 2% | 1% | 10 |
| 7 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 8175 | 9% | 0% | 38 |
| 8 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 7476 | 11% | 0% | 48 |
| 9 | JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 6668 | 1% | 2% | 6 |
| 10 | EVOLUTION EQUATIONS AND CONTROL THEORY | 3706 | 1% | 2% | 3 |
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 | WAKASUGI, Y , (2017) SCALING VARIABLES AND ASYMPTOTIC PROFILES FOR THE SEMILINEAR DAMPED WAVE EQUATION WITH VARIABLE COEFFICIENTS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 447. ISSUE 1. P. 452 -487 | 42 | 98% | 0 |
| 2 | IKEHATA, R , TAKEDA, H , (2017) CRITICAL EXPONENT FOR NONLINEAR WAVE EQUATIONS WITH FRICTIONAL AND VISCOELASTIC DAMPING TERMS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 148. ISSUE . P. 228 -253 | 36 | 97% | 0 |
| 3 | KAWAKAMI, T , TAKEDA, H , (2016) HIGHER ORDER ASYMPTOTIC EXPANSIONS TO THE SOLUTIONS FOR A NONLINEAR DAMPED WAVE EQUATION.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 23. ISSUE 5. P. - | 33 | 87% | 1 |
| 4 | D'ABBICCO, M , EBERT, MR , (2017) A NEW PHENOMENON IN THE CRITICAL EXPONENT FOR STRUCTURALLY DAMPED SEMI-LINEAR EVOLUTION EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 149. ISSUE . P. 1 -40 | 23 | 74% | 1 |
| 5 | TAKEDA, H , (2016) LARGE TIME BEHAVIOR OF SOLUTIONS FOR A NONLINEAR DAMPED WAVE EQUATION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 15. ISSUE 1. P. 41 -55 | 28 | 93% | 1 |
| 6 | IKEHATA, R , SAWADA, A , (2016) ASYMPTOTIC PROFILE OF SOLUTIONS FOR WAVE EQUATIONS WITH FRICTIONAL AND VISCOELASTIC DAMPING TERMS.ASYMPTOTIC ANALYSIS. VOL. 98. ISSUE 1-2. P. 59 -77 | 26 | 100% | 1 |
| 7 | WAKASUGI, Y , (2014) ON DIFFUSION PHENOMENA FOR THE LINEAR WAVE EQUATION WITH SPACE-DEPENDENT DAMPING.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 11. ISSUE 4. P. 795 -819 | 28 | 100% | 3 |
| 8 | NISHIHARA, K , WAKASUGI, Y , (2015) GLOBAL EXISTENCE OF SOLUTIONS FOR A WEAKLY COUPLED SYSTEM OF SEMILINEAR DAMPED WAVE EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 8. P. 4172 -4201 | 27 | 90% | 0 |
| 9 | LIN, JY , NISHIHARA, K , ZHAI, J , (2012) CRITICAL EXPONENT FOR THE SEMILINEAR WAVE EQUATION WITH TIME-DEPENDENT DAMPING.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 32. ISSUE 12. P. 4307 -4320 | 24 | 96% | 20 |
| 10 | NISHIHARA, K , (2010) DECAY PROPERTIES FOR THE DAMPED WAVE EQUATION WITH SPACE DEPENDENT POTENTIAL AND ABSORBED SEMILINEAR TERM.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 35. ISSUE 8. P. 1402-1418 | 25 | 96% | 8 |
Classes with closest relation at Level 1 |