Class information for:
Level 2: STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1160 9464 21.5 50%


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
1330 1                   STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS 2715
1480 1                   GENERAL DECAY//RELAXATION FUNCTION//EXPONENTIAL DECAY 2633
10806 1                   DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY 1034
12431 1                   NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS 906
16551 1                   NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM 648
18001 1                   BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION 571
20760 1                   DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION 446
23840 1                   DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION 333
29872 1                   DIRAC HYDROGEN ATOM//QUANTIZED MAGNETIC FLUX//HYPOTHESIS FOR GENERALIZED GRAVITATIONAL THEORY 178

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 STRICHARTZ ESTIMATES authKW 328419 2% 69% 148
2 GLOBAL EXISTENCE authKW 327509 4% 27% 377
3 BLOW UP authKW 317750 4% 23% 421
4 WAVE EQUATION authKW 254328 4% 23% 349
5 GENERAL DECAY authKW 235052 1% 90% 81
6 NONLINEAR SCHRODINGER EQUATION authKW 228139 3% 23% 303
7 ENERGY DECAY authKW 209156 1% 75% 86
8 NONLINEAR WAVE EQUATION authKW 197117 2% 41% 148
9 EXPONENTIAL DECAY authKW 193825 2% 40% 152
10 MATHEMATICS, APPLIED WoSSC 193366 56% 1% 5335

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, Applied 193366 56% 1% 5335
2 Mathematics 180190 59% 1% 5608
3 Physics, Mathematical 13656 11% 0% 1056
4 Automation & Control Systems 2118 3% 0% 329
5 Physics, Multidisciplinary 470 5% 0% 476
6 Mechanics 267 3% 0% 277
7 Mathematics, Interdisciplinary Applications 42 1% 0% 92
8 Physics, Particles & Fields 26 2% 0% 148
9 Computer Science, Cybernetics 14 0% 0% 19
10 Multidisciplinary Sciences 2 0% 0% 34

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 MATH 113252 41% 1% 3872
2 MATH SOFTWARE SCI 62194 1% 21% 90
3 SCI TECH VALENCIENNES 33641 0% 34% 31
4 UNIV NAT SCI 27079 0% 28% 30
5 UMR MATH 25897 0% 54% 15
6 FR CNRS 2956 20883 0% 31% 21
7 MATEMAT 19224 4% 1% 425
8 EDUC ACCREDITAT 17553 0% 78% 7
9 IHES 16316 0% 56% 9
10 PROGRAMA POS MATEMAT ESTAT 16123 0% 100% 5

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 AND INTEGRAL EQUATIONS 92370 2% 19% 149
2 JOURNAL OF DIFFERENTIAL EQUATIONS 87020 5% 6% 442
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 86295 3% 11% 255
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 63935 5% 4% 491
5 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 60071 1% 22% 83
6 ANALYSIS & PDE 52157 1% 23% 71
7 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 43431 2% 6% 221
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 38494 5% 2% 505
9 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 38222 1% 9% 130
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 34631 2% 6% 190

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 STRICHARTZ ESTIMATES 328419 2% 69% 148 Search STRICHARTZ+ESTIMATES Search STRICHARTZ+ESTIMATES
2 GLOBAL EXISTENCE 327509 4% 27% 377 Search GLOBAL+EXISTENCE Search GLOBAL+EXISTENCE
3 BLOW UP 317750 4% 23% 421 Search BLOW+UP Search BLOW+UP
4 WAVE EQUATION 254328 4% 23% 349 Search WAVE+EQUATION Search WAVE+EQUATION
5 GENERAL DECAY 235052 1% 90% 81 Search GENERAL+DECAY Search GENERAL+DECAY
6 NONLINEAR SCHRODINGER EQUATION 228139 3% 23% 303 Search NONLINEAR+SCHRODINGER+EQUATION Search NONLINEAR+SCHRODINGER+EQUATION
7 ENERGY DECAY 209156 1% 75% 86 Search ENERGY+DECAY Search ENERGY+DECAY
8 NONLINEAR WAVE EQUATION 197117 2% 41% 148 Search NONLINEAR+WAVE+EQUATION Search NONLINEAR+WAVE+EQUATION
9 EXPONENTIAL DECAY 193825 2% 40% 152 Search EXPONENTIAL+DECAY Search EXPONENTIAL+DECAY
10 RELAXATION FUNCTION 175113 1% 70% 78 Search RELAXATION+FUNCTION Search RELAXATION+FUNCTION

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 KOMECH, A , (2016) ATTRACTORS OF HAMILTON NONLINEAR PDES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 11. P. 6201 -6256 93 91% 0
2 DODSON, B , (2016) GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L-2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN D=1.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 2. P. 531 -569 64 97% 0
3 DODSON, B , (2016) GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L-2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN D=2.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 18. P. 3435 -3516 63 97% 0
4 ZHANG, ZY , LIU, ZH , GAN, XY , (2013) GLOBAL EXISTENCE AND GENERAL DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH NONLINEAR LOCALIZED DAMPING AND VELOCITY-DEPENDENT MATERIAL DENSITY.APPLICABLE ANALYSIS. VOL. 92. ISSUE 10. P. 2021 -2048 51 98% 3
5 KILLIP, R , TAO, T , VISAN, M , (2009) THE CUBIC NONLINEAR SCHRODINGER EQUATION IN TWO DIMENSIONS WITH RADIAL DATA.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 11. ISSUE 6. P. 1203 -1258 50 94% 59
6 CUCCAGNA, S , MAEDA, M , (2016) ON ORBITAL INSTABILITY OF SPECTRALLY STABLE VORTICES OF THE NLS IN THE PLANE.JOURNAL OF NONLINEAR SCIENCE. VOL. 26. ISSUE 6. P. 1851 -1894 52 84% 0
7 GUESMIA, A , (2015) ON INTEGRAL INEQUALITIES AND APPLICATIONS TO THE STABILITY OF SOME SYSTEMS DISTRIBUTED NON DISSIPATIVE.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 506. P. 4 -52 46 96% 0
8 KILLIP, R , VISAN, M , ZHANG, XY , (2016) QUINTIC NLS IN THE EXTERIOR OF A STRICTLY CONVEX OBSTACLE.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 5. P. 1193 -1346 44 96% 0
9 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
10 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 42 100% 4

Classes with closest relation at Level 2


Rank Class id link
1 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
2 704 NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION
3 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
4 1111 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR
5 2891 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
6 1949 STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM
7 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL
8 127 PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION
9 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
10 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE

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