Class information for:
Level 1: DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10806 1034 26.4 55%


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
10806 1                   DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY 1034

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 DISPERSIVE ESTIMATES authKW 382037 3% 45% 29
2 NON FREDHOLM OPERATORS authKW 268450 1% 91% 10
3 ORBITAL STABILITY authKW 218461 4% 20% 37
4 SOLITARY MANIFOLD authKW 147649 0% 100% 5
5 KREIN SIGNATURE authKW 131537 1% 64% 7
6 NONLINEAR SCHRODINGER EQUATION authKW 124729 7% 6% 74
7 SYMPLECTIC PROJECTION authKW 118119 0% 100% 4
8 SOLITARY WAVES authKW 104652 5% 6% 56
9 ORBITAL INSTABILITY authKW 96637 1% 55% 6
10 SOLITON DYNAMICS authKW 96555 1% 30% 11

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 16904 51% 0% 523
2 Mathematics 13256 49% 0% 506
3 Physics, Mathematical 10263 28% 0% 290
4 Physics, Multidisciplinary 433 11% 0% 113
5 Mechanics 63 4% 0% 39
6 Physics, Fluids & Plasmas 24 2% 0% 18
7 Mathematics, Interdisciplinary Applications 9 1% 0% 12
8 Mathematical & Computational Biology 2 1% 0% 6
9 Physics, Particles & Fields 1 1% 0% 14
10 Computer Science, Interdisciplinary Applications 0 1% 0% 8

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 IHES 90427 1% 44% 7
2 DIPARTIMENTO SCI MATEMAT GL LAGRANGE 72678 1% 31% 8
3 INFORMAT TRANSMISS PROBLEMS 35550 4% 3% 38
4 INTERDISCIPLINARE 33217 0% 38% 3
5 ALTGELD HALL 29530 0% 100% 1
6 BELL S 2C358 29530 0% 100% 1
7 CDN ISOLA C4 29530 0% 100% 1
8 CNRS ANAL NUMER EDP 29530 0% 100% 1
9 CNRSURA 760 29530 0% 100% 1
10 EQUIPE MATH UMR CNRS 6623 29530 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 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 18117 1% 6% 11
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 15763 3% 1% 36
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14839 4% 1% 41
4 COMMUNICATIONS IN MATHEMATICAL PHYSICS 14808 6% 1% 64
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 12777 4% 1% 40
6 JOURNAL OF DIFFERENTIAL EQUATIONS 8622 4% 1% 46
7 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 7749 2% 1% 18
8 NONLINEARITY 7083 3% 1% 28
9 PHYSICA D-NONLINEAR PHENOMENA 6320 4% 1% 37
10 ANALYSIS & PDE 6061 1% 3% 8

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 DISPERSIVE ESTIMATES 382037 3% 45% 29 Search DISPERSIVE+ESTIMATES Search DISPERSIVE+ESTIMATES
2 NON FREDHOLM OPERATORS 268450 1% 91% 10 Search NON+FREDHOLM+OPERATORS Search NON+FREDHOLM+OPERATORS
3 ORBITAL STABILITY 218461 4% 20% 37 Search ORBITAL+STABILITY Search ORBITAL+STABILITY
4 SOLITARY MANIFOLD 147649 0% 100% 5 Search SOLITARY+MANIFOLD Search SOLITARY+MANIFOLD
5 KREIN SIGNATURE 131537 1% 64% 7 Search KREIN+SIGNATURE Search KREIN+SIGNATURE
6 NONLINEAR SCHRODINGER EQUATION 124729 7% 6% 74 Search NONLINEAR+SCHRODINGER+EQUATION Search NONLINEAR+SCHRODINGER+EQUATION
7 SYMPLECTIC PROJECTION 118119 0% 100% 4 Search SYMPLECTIC+PROJECTION Search SYMPLECTIC+PROJECTION
8 SOLITARY WAVES 104652 5% 6% 56 Search SOLITARY+WAVES Search SOLITARY+WAVES
9 ORBITAL INSTABILITY 96637 1% 55% 6 Search ORBITAL+INSTABILITY Search ORBITAL+INSTABILITY
10 SOLITON DYNAMICS 96555 1% 30% 11 Search SOLITON+DYNAMICS Search SOLITON+DYNAMICS

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 75 74% 0
2 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
3 GREEN, WR , (2012) DISPERSIVE ESTIMATES FOR MATRIX AND SCALAR SCHRODINGER OPERATORS IN DIMENSION FIVE.ILLINOIS JOURNAL OF MATHEMATICS. VOL. 56. ISSUE 2. P. 307-341 41 87% 1
4 ERDOGAN, MB , GREEN, WR , (2013) DISPERSIVE ESTIMATES FOR MATRIX SCHRODINGER OPERATORS IN DIMENSION TWO.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 33. ISSUE 10. P. 4473-4495 33 94% 1
5 CUCCAGNA, S , MAEDA, M , (2014) ON WEAK INTERACTION BETWEEN A GROUND STATE AND A NON-TRAPPING POTENTIAL.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 4. P. 1395 -1466 31 94% 2
6 KOPYLOVA, EA , (2013) ASYMPTOTIC STABILITY OF SOLITONS FOR NONLINEAR HYPERBOLIC EQUATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 2. P. 283 -334 30 100% 0
7 CUCCAGNA, S , (2014) ON ASYMPTOTIC STABILITY OF MOVING GROUND STATES OF THE NONLINEAR SCHRODINGER EQUATION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 6. P. 2827-2888 29 97% 3
8 GRAVEJAT, P , SMETS, D , (2015) ASYMPTOTIC STABILITY OF THE BLACK SOLITON FOR THE GROSS-PITAEVSKII EQUATION.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 305 -353 30 88% 3
9 CUCCAGNA, S , (2011) THE HAMILTONIAN STRUCTURE OF THE NONLINEAR SCHRODINGER EQUATION AND THE ASYMPTOTIC STABILITY OF ITS GROUND STATES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 305. ISSUE 2. P. 279-331 31 94% 9
10 CUCCAGNA, S , MAEDA, M , (2015) ON SMALL ENERGY STABILIZATION IN THE NLS WITH A TRAPPING POTENTIAL.ANALYSIS & PDE. VOL. 8. ISSUE 6. P. 1289 -1349 27 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 1330 STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS
2 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
3 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
4 23840 DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION
5 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
6 16551 NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM
7 31838 AUTO SOLITON//ELECTRON STATES IN QUANTUM WELLS//ENTANGLED SOLITONS
8 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
9 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
10 32293 AUTOCONVOLUTION EQUATIONS//OSTROVSKY EQUATION//OSTROVSKY HUNTER EQUATION

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