Class information for:
Level 1: NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12431 906 20.2 47%


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
1160 2             STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP 9464
12431 1                   NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS 906

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 NULL CONDITION authKW 862758 4% 80% 32
2 SEMILINEAR WAVE EQUATION authKW 423590 4% 32% 39
3 QUASILINEAR WAVE EQUATIONS authKW 210630 1% 63% 10
4 GLOBAL AND LOCAL SOLVABILITY authKW 202212 1% 100% 6
5 WEAK NULL CONDITION authKW 202212 1% 100% 6
6 ALMOST GLOBAL EXISTENCE authKW 154059 1% 57% 8
7 STRAUSS CONJECTURE authKW 140423 1% 83% 5
8 NONLINEAR WAVE EQUATION authKW 135870 4% 11% 38
9 BLOWUP SYSTEM authKW 134808 0% 100% 4
10 CHAPLYGIN GASES authKW 134808 0% 100% 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 22356 67% 0% 609
2 Mathematics, Applied 9895 42% 0% 377
3 Physics, Mathematical 2020 14% 0% 124
4 Physics, Particles & Fields 344 7% 0% 66
5 Physics, Multidisciplinary 223 9% 0% 80
6 Astronomy & Astrophysics 77 5% 0% 48
7 Mechanics 21 3% 0% 25
8 Language & Linguistics 1 0% 0% 3
9 Asian Studies 1 0% 0% 1
10 Computer Science, Cybernetics 0 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 GEN EDUC PURE PL SCI 67404 0% 100% 2
2 PL MATH OHYA 50550 0% 50% 3
3 CNRS MAB 44935 0% 67% 2
4 ENGELS ENGN 33702 0% 100% 1
5 FIS ENRIQUE GAVIOLAFAMAFIFEG 33702 0% 100% 1
6 GERMANY MATH 33702 0% 100% 1
7 MATH CNRS URA 760 33702 0% 100% 1
8 MATH INFORMATION 33702 0% 100% 1
9 MATH PHYS THEOR TOURS 33702 0% 100% 1
10 MISSILES ROCKETS 33702 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 HYPERBOLIC DIFFERENTIAL EQUATIONS 57037 3% 7% 25
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 22231 4% 2% 40
3 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 16500 3% 2% 28
4 ANALYSIS & PDE 8760 1% 3% 9
5 CHINESE ANNALS OF MATHEMATICS SERIES B 8014 2% 1% 20
6 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 6999 2% 1% 17
7 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 6932 6% 0% 50
8 ANNALES HENRI POINCARE 6651 2% 1% 14
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 5322 4% 0% 36
10 DIFFERENTIAL AND INTEGRAL EQUATIONS 5254 1% 1% 11

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 NULL CONDITION 862758 4% 80% 32 Search NULL+CONDITION Search NULL+CONDITION
2 SEMILINEAR WAVE EQUATION 423590 4% 32% 39 Search SEMILINEAR+WAVE+EQUATION Search SEMILINEAR+WAVE+EQUATION
3 QUASILINEAR WAVE EQUATIONS 210630 1% 63% 10 Search QUASILINEAR+WAVE+EQUATIONS Search QUASILINEAR+WAVE+EQUATIONS
4 GLOBAL AND LOCAL SOLVABILITY 202212 1% 100% 6 Search GLOBAL+AND+LOCAL+SOLVABILITY Search GLOBAL+AND+LOCAL+SOLVABILITY
5 WEAK NULL CONDITION 202212 1% 100% 6 Search WEAK+NULL+CONDITION Search WEAK+NULL+CONDITION
6 ALMOST GLOBAL EXISTENCE 154059 1% 57% 8 Search ALMOST+GLOBAL+EXISTENCE Search ALMOST+GLOBAL+EXISTENCE
7 STRAUSS CONJECTURE 140423 1% 83% 5 Search STRAUSS+CONJECTURE Search STRAUSS+CONJECTURE
8 NONLINEAR WAVE EQUATION 135870 4% 11% 38 Search NONLINEAR+WAVE+EQUATION Search NONLINEAR+WAVE+EQUATION
9 BLOWUP SYSTEM 134808 0% 100% 4 Search BLOWUP+SYSTEM Search BLOWUP+SYSTEM
10 CHAPLYGIN GASES 134808 0% 100% 4 Search CHAPLYGIN+GASES Search CHAPLYGIN+GASES

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 WANG, CB , YU, X , (2014) GLOBAL EXISTENCE OF NULL-FORM WAVE EQUATIONS ON SMALL ASYMPTOTICALLY EUCLIDEAN MANIFOLDS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 9. P. 5676-5708 40 98% 4
2 DAFERMOS, M , RODNIANSKI, I , SHLAPENTOKH-ROTHMAN, Y , (2016) DECAY FOR SOLUTIONS OF THE WAVE EQUATION ON KERR EXTERIOR SPACETIMES III: THE FULL SUBEXTREMAL CASE VERTICAL BAR A VERTICAL BAR < M.ANNALS OF MATHEMATICS. VOL. 183. ISSUE 3. P. 787 -913 37 90% 2
3 LINDBLAD, H , METCALFE, J , SOGGE, CD , TOHANEANU, M , WANG, CB , (2014) THE STRAUSS CONJECTURE ON KERR BLACK HOLE BACKGROUNDS.MATHEMATISCHE ANNALEN. VOL. 359. ISSUE 3-4. P. 637 -661 36 86% 4
4 NAKAMURA, M , (2011) REMARKS ON KEEL-SMITH-SOGGE ESTIMATES AND SOME APPLICATIONS TO NONLINEAR HIGHER-ORDER WAVE EQUATIONS.DIFFERENTIAL AND INTEGRAL EQUATIONS. VOL. 24. ISSUE 5-6. P. 519-540 39 85% 3
5 HIDANO, K , WANG, CB , YOKOYAMA, K , (2016) COMBINED EFFECTS OF TWO NONLINEARITIES IN LIFESPAN OF SMALL SOLUTIONS TO SEMI-LINEAR WAVE EQUATIONS.MATHEMATISCHE ANNALEN. VOL. 366. ISSUE 1-2. P. 667 -694 32 91% 0
6 LAI, NA , ZHOU, Y , (2016) NONEXISTENCE OF GLOBAL SOLUTIONS TO CRITICAL SEMILINEAR WAVE EQUATIONS IN EXTERIOR DOMAIN IN HIGH DIMENSIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 143. ISSUE . P. 89 -104 29 97% 0
7 YANG, SW , (2016) ON THE QUASILINEAR WAVE EQUATIONS IN TIME DEPENDENT INHOMOGENEOUS MEDIA.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 13. ISSUE 2. P. 273 -330 28 97% 0
8 HELMS, J , METCALFE, J , (2014) ALMOST GLOBAL EXISTENCE FOR 4-DIMENSIONAL QUASILINEAR WAVE EQUATIONS IN EXTERIOR DOMAINS.DIFFERENTIAL AND INTEGRAL EQUATIONS. VOL. 27. ISSUE 9-10. P. 837 -878 30 94% 0
9 ANGELOPOULOS, Y , (2016) GLOBAL SPHERICALLY SYMMETRIC SOLUTIONS OF NON-LINEAR WAVE EQUATIONS WITH NULL CONDITION ON EXTREMAL REISSNER-NORDSTROM SPACETIMES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 11. P. 3279 -3355 29 85% 0
10 DING, BB , WITT, I , YIN, HC , (2016) THE SMALL DATA SOLUTIONS OF GENERAL 3-D QUASILINEAR WAVE EQUATIONS. II.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 2. P. 1429 -1471 24 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 16551 NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM
2 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
3 1330 STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS
4 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
5 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
6 24033 KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL
7 27714 CHRONOMETRIC THEORY//EUCLIDEAN ALGEBRA//INTERDISCIPLINARY NAT HUMANIST SCI
8 7842 QUASINORMAL MODES//AREA SPECTRUM//ENTROPY SPECTRUM
9 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
10 36300 COVARIANT WAVE EQUATION//LOCAL TIME INTERVAL//RGGR

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