Class information for:
Level 1: LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11755 956 22.6 39%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2042 2             SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS 5373
11755 1                   LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS 956

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 LIPSCHITZ DOMAINS authKW 1485248 10% 49% 94
2 LAYER POTENTIALS authKW 889219 5% 61% 46
3 LAYER POTENTIAL OPERATORS authKW 255514 1% 100% 8
4 SINGLE LAYER POTENTIAL authKW 230741 2% 43% 17
5 STOKES SYSTEM authKW 229413 3% 29% 25
6 BOUNDARY HARNACK INEQUALITY authKW 224894 1% 54% 13
7 REGULARITY PROBLEM authKW 173888 1% 78% 7
8 CALORIC MEASURE authKW 164257 1% 86% 6
9 QUADRATIC ESTIMATES authKW 159696 1% 100% 5
10 P HARMONIC FUNCTION authKW 158741 1% 38% 13

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 39436 86% 0% 826
2 Mathematics, Applied 6043 32% 0% 306
3 Mechanics 9 2% 0% 21
4 Physics, Mathematical 5 1% 0% 13
5 Statistics & Probability 1 1% 0% 8
6 Mathematics, Interdisciplinary Applications 1 1% 0% 7
7 Materials Science, Characterization, Testing 0 0% 0% 2
8 Multidisciplinary Sciences 0 0% 0% 3
9 Physics, Fluids & Plasmas 0 1% 0% 6
10 Transportation 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 ANGEW ANAL NUMER SIMULAT 93209 2% 17% 17
2 SCI ST JEROME CASE COUR A 63878 0% 100% 2
3 ABT DYNAM SYST 31939 0% 100% 1
4 CARLOS UNIV 3 31939 0% 100% 1
5 CASE COUR AUMR 6632 31939 0% 100% 1
6 CNRS URA D0757 31939 0% 100% 1
7 CNRSINRIA MATH ELIE CARTAN 31939 0% 100% 1
8 FRE 2270 MATH INFORMAT 31939 0% 100% 1
9 FST FEZ 31939 0% 100% 1
10 GRP COMPLEX ANAL 31939 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 INDIANA UNIVERSITY MATHEMATICS JOURNAL 23630 4% 2% 42
2 POTENTIAL ANALYSIS 23208 3% 3% 27
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 8882 3% 1% 26
4 JOURNAL OF FUNCTIONAL ANALYSIS 8629 4% 1% 42
5 ARKIV FOR MATEMATIK 8264 1% 2% 14
6 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 7996 5% 1% 48
7 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 7329 1% 2% 14
8 MILAN JOURNAL OF MATHEMATICS 6040 1% 3% 6
9 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 5074 3% 1% 24
10 ANNALI DI MATEMATICA PURA ED APPLICATA 4347 1% 1% 14

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 LIPSCHITZ DOMAINS 1485248 10% 49% 94 Search LIPSCHITZ+DOMAINS Search LIPSCHITZ+DOMAINS
2 LAYER POTENTIALS 889219 5% 61% 46 Search LAYER+POTENTIALS Search LAYER+POTENTIALS
3 LAYER POTENTIAL OPERATORS 255514 1% 100% 8 Search LAYER+POTENTIAL+OPERATORS Search LAYER+POTENTIAL+OPERATORS
4 SINGLE LAYER POTENTIAL 230741 2% 43% 17 Search SINGLE+LAYER+POTENTIAL Search SINGLE+LAYER+POTENTIAL
5 STOKES SYSTEM 229413 3% 29% 25 Search STOKES+SYSTEM Search STOKES+SYSTEM
6 BOUNDARY HARNACK INEQUALITY 224894 1% 54% 13 Search BOUNDARY+HARNACK+INEQUALITY Search BOUNDARY+HARNACK+INEQUALITY
7 REGULARITY PROBLEM 173888 1% 78% 7 Search REGULARITY+PROBLEM Search REGULARITY+PROBLEM
8 CALORIC MEASURE 164257 1% 86% 6 Search CALORIC+MEASURE Search CALORIC+MEASURE
9 QUADRATIC ESTIMATES 159696 1% 100% 5 Search QUADRATIC+ESTIMATES Search QUADRATIC+ESTIMATES
10 P HARMONIC FUNCTION 158741 1% 38% 13 Search P+HARMONIC+FUNCTION Search P+HARMONIC+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 BARTON, A , MAYBORODA, S , (2013) THE DIRICHLET PROBLEM FOR HIGHER ORDER EQUATIONS IN COMPOSITION FORM.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 1. P. 49-107 41 98% 0
2 NYSTROM, K , (2017) L-2 SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR DIVERGENCE FORM PARABOLIC EQUATIONS WITH COMPLEX COEFFICIENTS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 2808 -2939 28 97% 0
3 KOHR, M , DE CRISTOFORIS, ML , WENDLAND, WL , (2013) NONLINEAR NEUMANN-TRANSMISSION PROBLEMS FOR STOKES AND BRINKMAN EQUATIONS ON EUCLIDEAN LIPSCHITZ DOMAINS.POTENTIAL ANALYSIS. VOL. 38. ISSUE 4. P. 1123 -1171 35 78% 7
4 (2013) ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ALMOST-REAL COEFFICIENTS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 223. ISSUE 1051. P. 1 -+ 32 84% 0
5 HOFMANN, S , MITREA, M , MORRIS, AJ , (2015) THE METHOD OF LAYER POTENTIALS IN L-P AND ENDPOINT SPACES FOR ELLIPTIC OPERATORS WITH L-INFINITY COEFFICIENTS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 681 -716 28 85% 4
6 ALFONSECA, MA , AUSCHER, P , AXELSSON, A , HOFMANN, S , KIM, S , (2011) ANALYTICITY OF LAYER POTENTIALS AND L-2 SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR DIVERGENCE FORM ELLIPTIC EQUATIONS WITH COMPLEX L-INFINITY COEFFICIENTS.ADVANCES IN MATHEMATICS. VOL. 226. ISSUE 5. P. 4533 -4606 27 93% 15
7 HOFMANN, S , KENIG, C , MAYBORODA, S , PIPHER, J , (2015) THE REGULARITY PROBLEM FOR SECOND ORDER ELLIPTIC OPERATORS WITH COMPLEX-VALUED BOUNDED MEASURABLE COEFFICIENTS.MATHEMATISCHE ANNALEN. VOL. 361. ISSUE 3-4. P. 863 -907 26 90% 2
8 KOHR, M , DE CRISTOFORIS, ML , WENDLAND, WL , (2014) BOUNDARY VALUE PROBLEMS OF ROBIN TYPE FOR THE BRINKMAN AND DARCY-FORCHHEIMER-BRINKMAN SYSTEMS IN LIPSCHITZ DOMAINS.JOURNAL OF MATHEMATICAL FLUID MECHANICS. VOL. 16. ISSUE 3. P. 595 -630 33 73% 2
9 GENG, J , KILTY, J , (2015) THE L-P REGULARITY PROBLEM FOR THE STOKES SYSTEM ON LIPSCHITZ DOMAINS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 4. P. 1275 -1296 25 93% 0
10 MEDKOVA, D , (2016) BOUNDED SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE STOKES RESOLVENT SYSTEM.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 61. ISSUE 12. P. 1689 -1715 24 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
2 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
3 24807 FINELY SUPERHARMONIC FUNCTION//PWB SOLUTION//HOMOGENEOUS RANDOM MEASURE
4 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
5 16611 EXPONENTIAL ACCURACY//METHOD OF AUXILIARY MAPPING//CORNER SINGULARITY
6 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
7 34512 EDPNL HIST MATH//NON REGULAR DOMAINS//PROBLEMS WITHOUT INITIAL CONDITION
8 13642 ROTATING OBSTACLE//FLUID RIGID BODY INTERACTION//ROTATING BODY
9 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
10 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES

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