Class information for:
Level 1: INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
8884 1208 21.4 48%



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
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1984 2             INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE 5575
8884 1                   INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM 1208

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 INVERSE CONDUCTIVITY PROBLEM authKW 579312 3% 60% 38
2 DIRICHLET TO NEUMANN MAP authKW 457604 4% 39% 47
3 CALDERON PROBLEM authKW 428712 2% 81% 21
4 INVERSE BOUNDARY VALUE PROBLEM authKW 425386 3% 47% 36
5 INVERSE PROBLEMS journal 398645 19% 7% 232
6 PARTIAL DATA authKW 282380 1% 62% 18
7 COMPLEX GEOMETRICAL OPTICS SOLUTIONS authKW 259978 1% 86% 12
8 INVERSE PROBLEMS AND IMAGING journal 162238 5% 12% 55
9 COEFFICIENT INVERSE PROBLEM authKW 137597 1% 39% 14
10 INCREASING STABILITY authKW 126380 0% 100% 5

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 30417 62% 0% 754
2 Physics, Mathematical 16511 33% 0% 396
3 Mathematics 8444 37% 0% 442
4 Acoustics 269 3% 0% 38
5 Multidisciplinary Sciences 47 1% 0% 16
6 Physics, Multidisciplinary 35 4% 0% 52
7 Engineering, General 26 2% 0% 20
8 Mathematics, Interdisciplinary Applications 20 1% 0% 17
9 Mechanics 8 2% 0% 24
10 Imaging Science & Photographic Technology 3 0% 0% 5

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 NCTS TAIPEI 68798 1% 39% 7
2 PL INFORMAT MATH GEOPHYS 50552 0% 100% 2
3 UMR LAGA 7539 45129 0% 36% 5
4 PROGRAM INTEGRATED BIOTECHNOL 29965 1% 11% 11
5 UMR 7641 26567 2% 6% 19
6 AGM UMR 8088 25276 0% 100% 1
7 ARL TEAM 25276 0% 100% 1
8 CHAIR OPTIMIZAT INVERSE PROBLEMS 25276 0% 100% 1
9 COMPUTAT MATH CYBERNAT 25276 0% 100% 1
10 ECOLE INGENIEURS TUNIS LAMSIN 25276 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 INVERSE PROBLEMS 398645 19% 7% 232
2 INVERSE PROBLEMS AND IMAGING 162238 5% 12% 55
3 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 81204 3% 9% 35
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 37530 5% 2% 60
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 18495 4% 1% 52
6 APPLICABLE ANALYSIS 9904 2% 2% 24
7 JOURNAL OF SPECTRAL THEORY 5975 0% 4% 6
8 ANALYSIS & PDE 5186 1% 3% 8
9 SIAM JOURNAL ON APPLIED MATHEMATICS 4916 2% 1% 26
10 ACOUSTICAL PHYSICS 4613 2% 1% 22

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 INVERSE CONDUCTIVITY PROBLEM 579312 3% 60% 38 Search INVERSE+CONDUCTIVITY+PROBLEM Search INVERSE+CONDUCTIVITY+PROBLEM
2 DIRICHLET TO NEUMANN MAP 457604 4% 39% 47 Search DIRICHLET+TO+NEUMANN+MAP Search DIRICHLET+TO+NEUMANN+MAP
3 CALDERON PROBLEM 428712 2% 81% 21 Search CALDERON+PROBLEM Search CALDERON+PROBLEM
4 INVERSE BOUNDARY VALUE PROBLEM 425386 3% 47% 36 Search INVERSE+BOUNDARY+VALUE+PROBLEM Search INVERSE+BOUNDARY+VALUE+PROBLEM
5 PARTIAL DATA 282380 1% 62% 18 Search PARTIAL+DATA Search PARTIAL+DATA
6 COMPLEX GEOMETRICAL OPTICS SOLUTIONS 259978 1% 86% 12 Search COMPLEX+GEOMETRICAL+OPTICS+SOLUTIONS Search COMPLEX+GEOMETRICAL+OPTICS+SOLUTIONS
7 COEFFICIENT INVERSE PROBLEM 137597 1% 39% 14 Search COEFFICIENT+INVERSE+PROBLEM Search COEFFICIENT+INVERSE+PROBLEM
8 INCREASING STABILITY 126380 0% 100% 5 Search INCREASING+STABILITY Search INCREASING+STABILITY
9 PHASELESS INVERSE SCATTERING 126380 0% 100% 5 Search PHASELESS+INVERSE+SCATTERING Search PHASELESS+INVERSE+SCATTERING
10 NOVIKOV VESELOV EQUATION 115541 1% 57% 8 Search NOVIKOV+VESELOV+EQUATION Search NOVIKOV+VESELOV+EQUATION

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 UHLMANN, G , (2014) INVERSE PROBLEMS: SEEING THE UNSEEN.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 4. ISSUE 2. P. 209 -279 90 62% 2
2 UHLMANN, G , (2009) ELECTRICAL IMPEDANCE TOMOGRAPHY AND CALDERON'S PROBLEM.INVERSE PROBLEMS. VOL. 25. ISSUE 12. P. - 70 72% 93
3 BROWN, BM , MARLETTA, M , REYES, JM , (2016) UNIQUENESS FOR AN INVERSE PROBLEM IN ELECTROMAGNETISM WITH PARTIAL DATA.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 8. P. 6525 -6547 40 87% 0
4 KENIG, C , SALO, M , (2013) THE CALDERON PROBLEM WITH PARTIAL DATA ON MANIFOLDS AND APPLICATIONS.ANALYSIS & PDE. VOL. 6. ISSUE 8. P. 2003 -2048 34 92% 13
5 IMANUVILOV, OY , YAMAMOTO, M , (2013) UNIQUENESS FOR INVERSE BOUNDARY VALUE PROBLEMS BY DIRICHLET-TO-NEUMANN MAP ON SUBBOUNDARIES.MILAN JOURNAL OF MATHEMATICS. VOL. 81. ISSUE 2. P. 187 -258 36 82% 4
6 ASTALA, K , FARACO, D , ROGERS, KM , (2016) UNBOUNDED POTENTIAL RECOVERY IN THE PLANE.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 5. P. 1027 -1051 28 76% 1
7 KRUPCHYK, K , LASSAS, M , UHLMANN, G , (2012) DETERMINING A FIRST ORDER PERTURBATION OF THE BIHARMONIC OPERATOR BY PARTIAL BOUNDARY MEASUREMENTS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 262. ISSUE 4. P. 1781 -1801 29 83% 7
8 KRUPCHYK, K , LASSAS, M , UHLMANN, G , (2014) INVERSE BOUNDARY VALUE PROBLEMS FOR THE PERTURBED POLYHARMONIC OPERATOR.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 1. P. 95-112 27 82% 7
9 ISAEV, MI , NOVIKOV, RG , (2014) EFFECTIVIZED HOLDER-LOGARITHMIC STABILITY ESTIMATES FOR THE GEL'FAND INVERSE PROBLEM.INVERSE PROBLEMS. VOL. 30. ISSUE 9. P. - 23 100% 2
10 SALO, M , ZHONG, X , (2012) AN INVERSE PROBLEM FOR THE P-LAPLACIAN: BOUNDARY DETERMINATION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 44. ISSUE 4. P. 2474 -2495 25 93% 3

Classes with closest relation at Level 1



Rank Class id link
1 27861 WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT
2 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
3 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
4 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
5 5050 TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD
6 4445 ELECTRICAL IMPEDANCE TOMOGRAPHY//PHYSIOLOGICAL MEASUREMENT//ELECTRICAL IMPEDANCE TOMOGRAPHY EIT
7 14434 WAVE SPLITTING//ELE OMAGNET THEORY//ALGEBRAIC RICCATI OPERATOR EQUATION
8 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
9 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
10 19878 MREIT//CONDUCTIVITY IMAGE//CURRENT DENSITY IMAGING

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