Class information for:
Level 1: STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1330 2715 22.0 56%


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

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 644314 4% 52% 111
2 NONLINEAR SCHRODINGER EQUATION authKW 435331 8% 17% 224
3 GLOBAL WELL POSEDNESS authKW 397840 3% 39% 91
4 HARTREE EQUATION authKW 324902 2% 66% 44
5 I METHOD authKW 286572 1% 88% 29
6 ZAKHAROV SYSTEM authKW 259288 1% 82% 28
7 BOURGAIN SPACES authKW 214915 1% 66% 29
8 PROFILE DECOMPOSITION authKW 209325 1% 85% 22
9 MATH SOFTWARE SCI address 184753 3% 20% 83
10 BILINEAR ESTIMATES authKW 179897 1% 57% 28

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 78533 73% 0% 1972
2 Mathematics, Applied 50349 54% 0% 1460
3 Physics, Mathematical 4031 11% 0% 307
4 Physics, Multidisciplinary 23 3% 0% 87
5 Mechanics 1 1% 0% 37
6 Literature, American 0 0% 0% 1
7 Mathematics, Interdisciplinary Applications -0 0% 0% 13
8 Physics, Fluids & Plasmas -1 0% 0% 12
9 Multidisciplinary Sciences -2 0% 0% 4
10 Computer Science, Software Engineering -2 0% 0% 9

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 SOFTWARE SCI 184753 3% 20% 83
2 MATH J LERAY 53538 0% 48% 10
3 MATH 43941 47% 0% 1286
4 CERGY PONTOISE UMR 8088 33735 0% 100% 3
5 EQUAT DERIVEES PARTIELLES PLICAT LR03ES04 33735 0% 100% 3
6 SICHUAN PROVINCIAL COMP SOFTWARE 33735 0% 100% 3
7 PARTIAL DIFFERENTIAL EQUAT PLICAT LR03ES04 29984 0% 67% 4
8 SICHUAN PROV COMP SOFTWARE 29984 0% 67% 4
9 VISUAL COMP VIRTUAL REAL 29984 0% 67% 4
10 LAGA 24044 1% 6% 33

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 ANALYSIS & PDE 93961 2% 16% 51
2 DIFFERENTIAL AND INTEGRAL EQUATIONS 67143 3% 9% 68
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 58147 4% 5% 112
4 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 33405 2% 5% 65
5 JOURNAL OF DIFFERENTIAL EQUATIONS 30462 5% 2% 140
6 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 27588 1% 11% 22
7 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 19272 2% 4% 46
8 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 19000 1% 7% 25
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14594 2% 2% 66
10 JOURNAL OF FUNCTIONAL ANALYSIS 14220 3% 1% 91

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 644314 4% 52% 111 Search STRICHARTZ+ESTIMATES Search STRICHARTZ+ESTIMATES
2 NONLINEAR SCHRODINGER EQUATION 435331 8% 17% 224 Search NONLINEAR+SCHRODINGER+EQUATION Search NONLINEAR+SCHRODINGER+EQUATION
3 GLOBAL WELL POSEDNESS 397840 3% 39% 91 Search GLOBAL+WELL+POSEDNESS Search GLOBAL+WELL+POSEDNESS
4 HARTREE EQUATION 324902 2% 66% 44 Search HARTREE+EQUATION Search HARTREE+EQUATION
5 I METHOD 286572 1% 88% 29 Search I+METHOD Search I+METHOD
6 ZAKHAROV SYSTEM 259288 1% 82% 28 Search ZAKHAROV+SYSTEM Search ZAKHAROV+SYSTEM
7 BOURGAIN SPACES 214915 1% 66% 29 Search BOURGAIN+SPACES Search BOURGAIN+SPACES
8 PROFILE DECOMPOSITION 209325 1% 85% 22 Search PROFILE+DECOMPOSITION Search PROFILE+DECOMPOSITION
9 BILINEAR ESTIMATES 179897 1% 57% 28 Search BILINEAR+ESTIMATES Search BILINEAR+ESTIMATES
10 LOCAL WELL POSEDNESS 179474 2% 27% 59 Search LOCAL+WELL+POSEDNESS Search LOCAL+WELL+POSEDNESS

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 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 63 95% 0
2 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 62 95% 0
3 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
4 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
5 PAUSADER, B , SHAO, SL , (2010) THE MASS-CRITICAL FOURTH-ORDER SCHRODINGER EQUATION IN HIGH DIMENSIONS.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 7. ISSUE 4. P. 651 -705 43 93% 14
6 MIAO, CX , ZHANG, JY , ZHENG, JQ , (2015) SCATTERING THEORY FOR THE RADIAL (H) OVER DOT(1/2)-CRITICAL WAVE EQUATION WITH A CUBIC CONVOLUTION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 12. P. 7199 -7237 36 100% 0
7 IKEDA, M , INUI, T , (2015) SOME NON-EXISTENCE RESULTS FOR THE SEMILINEAR SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 425. ISSUE 2. P. 758 -773 36 92% 4
8 LAWRIE, A , OH, SJ , SHAHSHAHANI, S , (2016) PROFILE DECOMPOSITIONS FOR WAVE EQUATIONS ON HYPERBOLIC SPACE WITH APPLICATIONS.MATHEMATISCHE ANNALEN. VOL. 365. ISSUE 1-2. P. 707 -803 38 90% 0
9 MARTEL, Y , MERLE, F , RAPHAEL, P , SZEFTEL, J , (2014) NEAR SOLITON DYNAMICS AND SINGULARITY FORMATION FOR L-2 CRITICAL PROBLEMS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 2. P. 261 -290 43 83% 1
10 DONNINGER, R , SCHORKHUBER, B , (2016) ON BLOWUP IN SUPERCRITICAL WAVE EQUATIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 346. ISSUE 3. P. 907 -943 37 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 10806 DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY
2 16551 NONLINEAR DIRAC EQUATION//WAVE MAPS//NULL FORM
3 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
4 27936 FUS STUDIES PROGRAM//UFR MATH PU PL//2D CUBIC SCHRODINGER EQUATION
5 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS
6 23840 DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION
7 32293 AUTOCONVOLUTION EQUATIONS//OSTROVSKY EQUATION//OSTROVSKY HUNTER EQUATION
8 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
9 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
10 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS

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