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## Sylvester, John Herbert

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 Author ID: sylvester.john-herbert Published as: Sylvester, J.; Sylvester, J. H.; Sylvester, John External Links: MGP
 Documents Indexed: 53 Publications since 1981
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#### Co-Authors

 18 single-authored 8 Uhlmann, Gunther Alberto 5 Griesmaier, Roland 4 Kusiak, Steven 3 Chen, Zhen-Qing 3 Päivärinta, Lassi 3 Winebrenner, Dale P. 2 Blåsten, Eemeli 2 Burdzy, Krzysztof 1 Alessandrini, Giovanni 1 Arens, Tilo 1 Burdzy, Chris 1 Colton, David Lem 1 Deift, Percy A. 1 Friedland, Shmuel 1 Gylys-Colwell, Fred 1 Haddar, Houssem 1 Hanke-Bourgeois, Martin 1 Isakov, Victor M. 1 Kelly, James M. 1 Lawler, Gregory Francis 1 Nachman, Adrian I. 1 Potthast, Roland W. E. 1 Robbin, Joel William 1 Serov, Valery S.
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#### Serials

 6 Communications on Pure and Applied Mathematics 6 Inverse Problems 6 SIAM Journal on Applied Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Inverse Problems and Imaging 1 The Annals of Probability 1 Journal of Differential Equations 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Discrete Mathematics 1 Algebra i Analiz 1 Linear Algebra and its Applications 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Journal of Inverse and Ill-Posed Problems 1 Annals of Mathematics. Second Series
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#### Fields

 41 Partial differential equations (35-XX) 15 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 1,121 times in 746 Documents Cited by Year
A global uniqueness theorem for an inverse boundary value problem. Zbl 0625.35078
Sylvester, John; Uhlmann, Gunther
1987
An $$n$$-dimensional Borg-Levinson theorem. Zbl 0644.35095
Nachman, Adrian; Sylvester, John; Uhlmann, Gunther
1988
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
2007
Inverse boundary value problems at the boundary-continuous dependence. Zbl 0632.35074
Sylvester, John; Uhlmann, Gunther
1988
A uniqueness theorem for an inverse boundary value problem in electrical prospection. Zbl 0611.35088
Sylvester, John; Uhlmann, Gunther
1986
Transmission eigenvalues. Zbl 1159.81411
Päivärinta, Lassi; Sylvester, John
2008
An anisotropic inverse boundary value problem. Zbl 0709.35102
Sylvester, John
1990
Corners always scatter. Zbl 1298.35214
Blåsten, Eemeli; Päivärinta, Lassi; Sylvester, John
2014
The scattering support. Zbl 1037.35099
Kusiak, Steven; Sylvester, John
2003
The heat equation and reflected Brownian motion in time-dependent domains. Zbl 1046.60060
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
2004
Discreteness of transmission eigenvalues via upper triangular compact operators. Zbl 1238.81172
Sylvester, John
2012
A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140
Potthast, Roland; Sylvester, John; Kusiak, Steven
2003
Global uniqueness for a semilinear elliptic inverse problem. Zbl 0817.35126
Isakov, Victor; Sylvester, John
1994
The Dirichlet to Neumann map and applications. Zbl 0713.35100
Sylvester, John; Uhlmann, Gunther
1990
On the crossing rule. Zbl 0507.15009
Friedland, S.; Robbin, J. W.; Sylvester, J. H.
1984
On the dimension of spaces of linear transformations satisfying rank conditions. Zbl 0588.15002
Sylvester, John
1986
Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080
Alessandrini, Giovanni; Sylvester, John
1990
Notions of support for far fields. Zbl 1112.35149
Sylvester, John
2006
The heat equation and reflected Brownian motion in time-dependent domains. II: Singularities of solutions. Zbl 1058.60062
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
2003
Linear and nonlinear inverse scattering. Zbl 0930.34066
Sylvester, John; Winebrenner, Dale P.
1999
Inverse problems in anisotropic media. Zbl 0748.35057
Sylvester, John; Uhlmann, Gunther
1991
Transmission eigenvalues in one dimension. Zbl 1294.34079
Sylvester, John
2013
On the differentiability of O(n) invariant functions of symmetric matrices. Zbl 0652.26013
Sylvester, John
1985
Far field splitting for the Helmholtz equation. Zbl 1295.35381
Griesmaier, Roland; Hanke, Martin; Sylvester, John
2014
The convex scattering support in a background medium. Zbl 1072.81060
Kusiak, Steven; Sylvester, John
2005
The convex back-scattering support. Zbl 1097.78011
Haddar, Houssem; Kusiak, Steven; Sylvester, John
2005
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
1981
A scattering support for broadband sparse far field measurements. Zbl 1070.35133
Sylvester, John; Kelly, James
2005
A convergent layer stripping algorithm for the radially symmetric impedence tomography problem. Zbl 0770.35080
Sylvester, John
1992
Uncertainty principles for three-dimensional inverse source problems. Zbl 1380.65347
Griesmaier, Roland; Sylvester, John
2017
Uncertainty principles for inverse source problems, far field splitting, and data completion. Zbl 1366.35239
Griesmaier, Roland; Sylvester, John
2017
The heat equation in time dependent domains with insulated boundaries. Zbl 1087.35046
Burdzy, Chris; Chen, Zhen-Qing; Sylvester, John
2004
Far field splitting by iteratively reweighted $$\ell^1$$ minimization. Zbl 1335.35296
Griesmaier, Roland; Sylvester, John
2016
Layer stripping for the Helmholtz equation. Zbl 0851.34011
Sylvester, John; Winebrenner, Dale; Gylys-Colwell, Fred
1996
Transmission eigenvalues for degenerate and singular cases. Zbl 1245.35077
Serov, Valery; Sylvester, John
2012
The Cauchy data and the scattering amplitude. Zbl 0809.35163
Sylvester, John
1994
An estimate for the free Helmholtz equation that scales. Zbl 1183.74123
Sylvester, John
2009
Layer stripping. Zbl 0964.65071
Sylvester, John
2000
Linearizations of anisotropic inverse problems. Zbl 0790.35114
Sylvester, John
1993
Remarks on an inverse boundary value problem. Zbl 0639.35080
Sylvester, John; Uhlmann, Gunther
1987
Uncertainty principles for inverse source problems for electromagnetic and elastic waves. Zbl 1452.78018
Griesmaier, Roland; Sylvester, John
2018
Inverse boundary value problems. An overview. Zbl 0854.35126
Sylvester, J.
1996
Determining resistances from boundary measurements in finite networks. Zbl 0671.94027
Lawler, Gregory F.; Sylvester, John
1989
Uncertainty principles for inverse source problems for electromagnetic and elastic waves. Zbl 1452.78018
Griesmaier, Roland; Sylvester, John
2018
Uncertainty principles for three-dimensional inverse source problems. Zbl 1380.65347
Griesmaier, Roland; Sylvester, John
2017
Uncertainty principles for inverse source problems, far field splitting, and data completion. Zbl 1366.35239
Griesmaier, Roland; Sylvester, John
2017
Far field splitting by iteratively reweighted $$\ell^1$$ minimization. Zbl 1335.35296
Griesmaier, Roland; Sylvester, John
2016
Corners always scatter. Zbl 1298.35214
Blåsten, Eemeli; Päivärinta, Lassi; Sylvester, John
2014
Far field splitting for the Helmholtz equation. Zbl 1295.35381
Griesmaier, Roland; Hanke, Martin; Sylvester, John
2014
Transmission eigenvalues in one dimension. Zbl 1294.34079
Sylvester, John
2013
Discreteness of transmission eigenvalues via upper triangular compact operators. Zbl 1238.81172
Sylvester, John
2012
Transmission eigenvalues for degenerate and singular cases. Zbl 1245.35077
Serov, Valery; Sylvester, John
2012
An estimate for the free Helmholtz equation that scales. Zbl 1183.74123
Sylvester, John
2009
Transmission eigenvalues. Zbl 1159.81411
Päivärinta, Lassi; Sylvester, John
2008
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
2007
Notions of support for far fields. Zbl 1112.35149
Sylvester, John
2006
The convex scattering support in a background medium. Zbl 1072.81060
Kusiak, Steven; Sylvester, John
2005
The convex back-scattering support. Zbl 1097.78011
Haddar, Houssem; Kusiak, Steven; Sylvester, John
2005
A scattering support for broadband sparse far field measurements. Zbl 1070.35133
Sylvester, John; Kelly, James
2005
The heat equation and reflected Brownian motion in time-dependent domains. Zbl 1046.60060
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
2004
The heat equation in time dependent domains with insulated boundaries. Zbl 1087.35046
Burdzy, Chris; Chen, Zhen-Qing; Sylvester, John
2004
The scattering support. Zbl 1037.35099
Kusiak, Steven; Sylvester, John
2003
A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140
Potthast, Roland; Sylvester, John; Kusiak, Steven
2003
The heat equation and reflected Brownian motion in time-dependent domains. II: Singularities of solutions. Zbl 1058.60062
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
2003
Layer stripping. Zbl 0964.65071
Sylvester, John
2000
Linear and nonlinear inverse scattering. Zbl 0930.34066
Sylvester, John; Winebrenner, Dale P.
1999
Layer stripping for the Helmholtz equation. Zbl 0851.34011
Sylvester, John; Winebrenner, Dale; Gylys-Colwell, Fred
1996
Inverse boundary value problems. An overview. Zbl 0854.35126
Sylvester, J.
1996
Global uniqueness for a semilinear elliptic inverse problem. Zbl 0817.35126
Isakov, Victor; Sylvester, John
1994
The Cauchy data and the scattering amplitude. Zbl 0809.35163
Sylvester, John
1994
Linearizations of anisotropic inverse problems. Zbl 0790.35114
Sylvester, John
1993
A convergent layer stripping algorithm for the radially symmetric impedence tomography problem. Zbl 0770.35080
Sylvester, John
1992
Inverse problems in anisotropic media. Zbl 0748.35057
Sylvester, John; Uhlmann, Gunther
1991
An anisotropic inverse boundary value problem. Zbl 0709.35102
Sylvester, John
1990
The Dirichlet to Neumann map and applications. Zbl 0713.35100
Sylvester, John; Uhlmann, Gunther
1990
Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080
Alessandrini, Giovanni; Sylvester, John
1990
Determining resistances from boundary measurements in finite networks. Zbl 0671.94027
Lawler, Gregory F.; Sylvester, John
1989
An $$n$$-dimensional Borg-Levinson theorem. Zbl 0644.35095
Nachman, Adrian; Sylvester, John; Uhlmann, Gunther
1988
Inverse boundary value problems at the boundary-continuous dependence. Zbl 0632.35074
Sylvester, John; Uhlmann, Gunther
1988
A global uniqueness theorem for an inverse boundary value problem. Zbl 0625.35078
Sylvester, John; Uhlmann, Gunther
1987
Remarks on an inverse boundary value problem. Zbl 0639.35080
Sylvester, John; Uhlmann, Gunther
1987
A uniqueness theorem for an inverse boundary value problem in electrical prospection. Zbl 0611.35088
Sylvester, John; Uhlmann, Gunther
1986
On the dimension of spaces of linear transformations satisfying rank conditions. Zbl 0588.15002
Sylvester, John
1986
On the differentiability of O(n) invariant functions of symmetric matrices. Zbl 0652.26013
Sylvester, John
1985
On the crossing rule. Zbl 0507.15009
Friedland, S.; Robbin, J. W.; Sylvester, J. H.
1984
Some remarks on the shape-from-shading problem in computer vision. Zbl 0485.35081
Deift, Percy; Sylvester, John
1981
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#### Cited by 781 Authors

 42 Uhlmann, Gunther Alberto 31 Lassas, Matti 19 Salo, Mikko 15 Haddar, Houssem 15 Kurylev, Yaroslav V. 14 Isakov, Victor M. 14 Sun, Ziqi 13 Cakoni, Fioralba 13 Päivärinta, Lassi 13 Sylvester, John Herbert 12 Nakamura, Gen 11 Alessandrini, Giovanni 11 de Hoop, Maarten V. 11 Liu, Hongyu 11 Ramm, Alexander G. 11 Santacesaria, Matteo 11 Siltanen, Samuli 11 Yamamoto, Masahiro 10 Choulli, Mourad 10 Oksanen, Lauri 10 Wang, Jenn-Nan 9 Griesmaier, Roland 9 Hyvönen, Nuutti 9 Tzou, Leo 8 Hu, Guanghui 8 Imanuvilov, Oleg Yu. 8 Kian, Yavar 8 Krupchyk, Katsiaryna 8 Novikov, Roman G. 8 Sun, Jiguang 7 Bellassoued, Mourad 7 Caro, Pedro 7 Chen, Lung-Hui 7 Chesnel, Lucas 7 Colton, David Lem 7 Harrach, Bastian 7 Isozaki, Hiroshi 7 Ji, Xia 7 Knudsen, Kim M. 7 Potthast, Roland W. E. 7 Ruiz, Alberto 7 Seo, Jin Keun 7 Serov, Valery S. 7 Stefanov, Plamen D. 6 Ammari, Habib M. 6 Audibert, Lorenzo 6 Blåsten, Eemeli 6 Kozera, Ryszard S. 5 Alberti, Giovanni S. 5 Beretta, Elena 5 Cârstea, Cătălin Ion 5 Faraco, Daniel 5 Greenleaf, Allan 5 Klibanov, Michael V. 5 Lai, Ru-Yu 5 Lin, Yi-Hsuan 5 Liu, Jijun 5 Liu, Xiaodong 5 Nachman, Adrian I. 5 Rachele, Lizabeth V. 4 An, Jing 4 Behrndt, Jussi 4 Belishev, Mikhail Igorevitch 4 Deng, Youjun 4 Dos Santos Ferreira, David 4 Gaburro, Romina 4 Garde, Henrik 4 Ghosh, Tuhin 4 Gibson, Peter C. 4 Grote, Marcus J. 4 Guillarmou, Colin 4 Khelifi, Abdessatar 4 Kress, Rainer 4 Krupchyk, Katya 4 Kwon, Kiwoon 4 Li, Jingzhi 4 Nguyen, Hoai-Minh 4 Rundell, William 4 Sendov, Hristo S. 4 Soccorsi, Eric 4 Vashisth, Manmohan 4 Vesalainen, Esa V. 4 Yang, Chuanfu 4 Zhai, Jian 3 Assous, Franck 3 Bao, Gang 3 Blåsten, Emilia 3 Boralevi, Ada 3 Boumenir, Amin A. 3 Brown, B. Malcolm 3 Burdzy, Krzysztof 3 Chen, Zhen-Qing 3 Cheng, Cheman 3 Daveau, Christian 3 Drusvyatskiy, Dmitriy 3 Francini, Elisa 3 Friedland, Shmuel 3 Guevara Vasquez, Fernando 3 Hanke-Bourgeois, Martin 3 Helin, Tapio ...and 681 more Authors
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#### Cited in 171 Serials

 45 Inverse Problems 44 Inverse Problems and Imaging 43 Communications in Partial Differential Equations 31 Journal of Differential Equations 30 Applicable Analysis 21 Communications in Mathematical Physics 21 Journal of Inverse and Ill-Posed Problems 20 SIAM Journal on Mathematical Analysis 19 Journal of Mathematical Analysis and Applications 17 SIAM Journal on Applied Mathematics 16 Linear Algebra and its Applications 15 Journal of Functional Analysis 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Journal of Computational and Applied Mathematics 12 Proceedings of the American Mathematical Society 11 Computers & Mathematics with Applications 11 Journal of Mathematical Physics 10 Advances in Mathematics 9 Applied Mathematics and Computation 9 Transactions of the American Mathematical Society 8 Mathematical Methods in the Applied Sciences 8 Duke Mathematical Journal 7 Archive for Rational Mechanics and Analysis 7 Journal of Computational Physics 7 Linear and Multilinear Algebra 7 Journal of Scientific Computing 7 Inverse Problems in Science and Engineering 6 Mathematische Annalen 6 Applied Mathematics Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 SIAM Journal on Imaging Sciences 5 Annales de l’Institut Fourier 5 Numerische Mathematik 5 Advances in Applied Mathematics 5 The Journal of Geometric Analysis 5 Journal of Elasticity 5 Stochastic Processes and their Applications 5 SIAM Journal on Scientific Computing 5 Complex Variables and Elliptic Equations 4 Communications on Pure and Applied Mathematics 4 Inventiones Mathematicae 4 Mathematical and Computer Modelling 4 Engineering Analysis with Boundary Elements 3 Wave Motion 3 The Annals of Probability 3 BIT 3 Computing 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Programming and Computer Software 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Numerical Mathematics 3 Revista Matemática Iberoamericana 3 Journal of Integral Equations and Applications 3 The Journal of Fourier Analysis and Applications 3 Annales Henri Poincaré 3 Journal of Applied Mathematics 3 Analysis & PDE 3 Advances in Mathematical Physics 2 Bulletin of the Australian Mathematical Society 2 Computer Methods in Applied Mechanics and Engineering 2 Reports on Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 European Journal of Applied Mathematics 2 The Annals of Applied Probability 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Acta Mathematica Sinica. English Series 2 Multiscale Modeling & Simulation 2 Journal of the Institute of Mathematics of Jussieu 2 Science China. Mathematics 2 Journal of Spectral Theory 2 Mathematical Control and Related Fields 2 Forum of Mathematics, Sigma 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV ...and 71 more Serials
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#### Cited in 52 Fields

 583 Partial differential equations (35-XX) 149 Optics, electromagnetic theory (78-XX) 143 Numerical analysis (65-XX) 50 Global analysis, analysis on manifolds (58-XX) 48 Quantum theory (81-XX) 44 Operator theory (47-XX) 39 Mechanics of deformable solids (74-XX) 35 Fluid mechanics (76-XX) 34 Ordinary differential equations (34-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Biology and other natural sciences (92-XX) 28 Probability theory and stochastic processes (60-XX) 25 Potential theory (31-XX) 21 Differential geometry (53-XX) 19 Information and communication theory, circuits (94-XX) 17 Integral equations (45-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 13 Geophysics (86-XX) 13 Systems theory; control (93-XX) 11 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 10 Algebraic geometry (14-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Combinatorics (05-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral transforms, operational calculus (44-XX) 6 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)