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Davies, Edward Brian

Author ID: davies.edward-brian Recent zbMATH articles by "Davies, Edward Brian"
Published as: Davies, E. B.; Davies, E. Brian; Davies, Edward Brian; Davies, Edward B.
Homepage: https://www.sjc.ox.ac.uk/discover/people/edward-brian-davies/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 204 Publications since 1967, including 7 Books and 3 Additional arXiv Preprints
Biographic References: 1 Publication
Co-Authors: 40 Co-Authors with 50 Joint Publications
1,340 Co-Co-Authors
all top 5

Serials

20 Communications in Mathematical Physics
16 Journal of Functional Analysis
15 Journal of the London Mathematical Society. Second Series
11 The Quarterly Journal of Mathematics. Oxford Second Series
9 Journal of Operator Theory
7 Bulletin of the London Mathematical Society
7 Mathematische Zeitschrift
7 Proceedings of the London Mathematical Society. Third Series
6 Journal of Differential Equations
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
5 LMS Journal of Computation and Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 American Journal of Mathematics
3 Mathematika
2 IEEE Transactions on Information Theory
2 Journal d’Analyse Mathématique
2 Reports on Mathematical Physics
2 Advances in Mathematics
2 The British Journal for the Philosophy of Science
2 Journal of Approximation Theory
2 Mathematische Annalen
2 Transactions of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Annals of Physics
2 Journal of Physics A: Mathematical and General
2 Linear Algebra and its Applications
2 European Mathematical Society Newsletter
2 Philosophia Mathematica. Series III
2 Cambridge Studies in Advanced Mathematics
1 Archive for Rational Mechanics and Analysis
1 BJHS. The British Journal for the History of Science
1 IMA Journal of Numerical Analysis
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Mathematics of Computation
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Mathematica Scandinavica
1 Numerische Mathematik
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Annals of Global Analysis and Geometry
1 SIAM Journal on Matrix Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Electronic Journal of Probability
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Evolution Equations
1 Journal of the London Mathematical Society
1 Cambridge Tracts in Mathematics
1 London Mathematical Society Monographs
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis & PDE
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

183 Publications have been cited 6,803 times in 4,961 Documents Cited by Year
Heat kernels and spectral theory. Zbl 0699.35006
Davies, E. B.
1989
Quantum theory of open systems. Zbl 0388.46044
Davies, E. B.
613
1976
Spectral theory and differential operators. Zbl 0893.47004
Davies, E. B.
372
1995
One-parameter semigroups. Zbl 0457.47030
Davies, E. B.
364
1980
An operational approach to quantum probability. Zbl 0194.58304
Davies, E. B.; Lewis, J. T.
236
1970
Linear operators and their spectra. Zbl 1138.47001
Davies, E. Brian
227
2007
Markovian master equations. Zbl 0294.60080
Davies, E. B.
217
1974
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. Zbl 0568.47034
Davies, E. B.; Simon, B.
216
1984
Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049
Davies, E. B.; Hinz, A. M.
128
1998
A review of Hardy inequalities. Zbl 0936.35121
Davies, E. B.
114
1999
Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034
Davies, E. B.
101
1995
Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009
Davies, E. B.
100
1987
Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035
Davies, E. B.; Mandouvalos, N.
89
1988
Scattering theory for systems with different spatial asymptotics on the left and right. Zbl 0393.34015
Davies, E. B.; Simon, B.
74
1978
Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041
Davies, E. B.
73
1992
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
72
1987
Bounds on complex eigenvalues and resonances. Zbl 1123.81415
Abramov, A. A.; Aslanyan, A.; Davies, E. B.
70
2001
Markovian master equations. II. Zbl 0323.60061
Davies, E. B.
70
1976
Quantum dynamical semigroups and the neutron diffusion equation. Zbl 0372.47020
Davies, E. B.
64
1977
Quantum stochastic processes. Zbl 0184.54102
Davies, E. B.
62
1969
The Hardy constant. Zbl 0857.26005
Davies, E. B.
59
1995
\(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019
Davies, E. B.
58
1997
Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064
Davies, E. B.
57
1997
The functional calculus. Zbl 0858.47012
Davies, E. B.
57
1995
Non-self-adjoint differential operators. Zbl 1052.47042
Davies, E. B.
53
2002
\(L^ 1\) properties of second order elliptic operators. Zbl 0583.35032
Davies, E. B.
50
1985
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
50
1999
Non-commutative symmetric Markov semigroups. Zbl 0761.46051
Davies, E. Brian; Lindsay, J. Martin
47
1992
Information and quantum measurement. Zbl 0382.94009
Davies, E. B.
47
1978
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
46
2004
Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060
Davies, E. B.
46
1999
Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011
Davies, E. B.
44
1988
\(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047
Davies, E. B.; Simon, B.
42
1991
Quantum stochastic processes. II. Zbl 0199.28202
Davies, E. B.
42
1970
Discrete nodal domain theorems. Zbl 0990.05093
Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F.
42
2001
Generators of dynamical semigroups. Zbl 0428.47021
Davies, E. B.
42
1979
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
42
1998
Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045
Davies, E. B.
40
1988
Large deviations for heat kernels on graphs. Zbl 0799.58086
Davies, E. B.
40
1993
The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023
Davies, E. B.
39
1987
Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106
Davies, E. B.
37
1989
Schrödinger operators with slowly decaying potentials. Zbl 1019.34083
Davies, E. B.; Nath, Jiban
33
2002
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
33
2002
Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048
Barbatis, G.; Davies, E. B.
30
1996
Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020
Davies, E. B.
30
1997
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
30
2004
Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502
Davies, E. B.
30
2000
\(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032
Davies, E. B.
30
1995
Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040
van den Berg, M.; Davies, E. B.
29
1989
Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020
Davies, E. B.; Harrell, Evans M. II
24
1987
Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031
Davies, E. B.
24
1990
On Enss’ approach to scattering theory. Zbl 0434.47014
Davies, E. B.
24
1980
Pseudospectra of differential operators. Zbl 0998.34067
Davies, E. Brian
24
2000
Analysis on graphs and noncommutative geometry. Zbl 0793.46043
Davies, E. B.
23
1993
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
23
1988
Some norm bounds and quadratic form inequalities for Schrödinger operators. II. Zbl 0567.47006
Davies, E. B.
23
1984
Sharp boundary estimates for elliptic operators. Zbl 0963.35146
Davies, E. B.
23
2000
Embeddable Markov matrices. Zbl 1226.60102
Davies, E. B.
23
2010
The structure and ideal theory of the predual of a Banach lattice. Zbl 0159.41503
Davies, E. B.
22
1968
Some contraction semigroups in quantum probability. Zbl 0231.20023
Davies, E. B.
21
1972
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
20
1989
Kato class potentials for higher order elliptic operators. Zbl 0942.35063
Davies, E. B.; Hinz, A. M.
20
1999
Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021
Davies, E. B.
20
1998
Spectral instability for some Schrödinger operators. Zbl 0964.65076
Aslanyan, A.; Davies, E. B.
19
2000
Non-unitary scattering and capture. I: Hilbert space theory. Zbl 0428.47006
Davies, E. B.
19
1980
Non-selfadjoint operators and pseudospectra. Zbl 1132.47002
Davies, E. B.
19
2007
On the Borel structure of \(C^ *\)-algebras. Zbl 0153.44701
Davies, E. B.
19
1968
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
18
2011
Perturbations of Jordan matrices. Zbl 1164.15004
Davies, E. B.; Hager, Mildred
18
2009
Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024
Davies, E. B.; Simon, B.
17
1992
The twisting trick for double well Hamiltonians. Zbl 0524.47019
Davies, E. B.
17
1982
Irreversible dynamics of infinite Fermion systems. Zbl 0361.47013
Davies, E. B.
17
1977
Metastable states of symmetric Markov semigroups. II. Zbl 0527.47028
Davies, E. B.
17
1982
Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078
Davies, E. Brian; Exner, Pavel; Lipovský, Jiří
17
2010
Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037
Davies, E. B.; Simon, B.
17
2006
\(L^ 1\)-properties of intrinsic Schrödinger semigroups. Zbl 0613.47039
Davies, E. B.; Simon, B.
16
1986
Heat kernel bounds for second order elliptic operators on Riemannian manifolds. Zbl 0648.58037
Davies, E. B.
16
1987
Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002
Davies, E. B.
16
2001
Quantum stochastic processes. III. Zbl 0217.50701
Davies, E. B.
16
1971
Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082
Davies, E. B.
16
1993
Properties of the Green’s functions of some Schrödinger operators. Zbl 0271.47003
Davies, E. B.
15
1974
Markovian master equations. III. Zbl 0323.60062
Davies, E. B.
15
1975
Building infinite machines. Zbl 1020.03004
Davies, E. B.
14
2001
The classical limit for quantum dynamical semigroups. Zbl 0355.60069
Davies, E. B.
14
1976
Spectral theory of pseudo-ergodic operators. Zbl 1044.47031
Davies, E. B.
14
2001
Approximate diagonalization. Zbl 1157.65024
Davies, E. B.
14
2008
Scattering from infinite sheets. Zbl 0362.47003
Davies, E. B.
13
1977
Tensor products, infinite products, and projective limits of Choquet simplexes. Zbl 0176.42802
Davies, E. B.; Vincent-Smith, G. F.
13
1968
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
13
1992
Metastable states of symmetric Markov semigroups. I. Zbl 0498.47017
Davies, E. B.
12
1982
Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049
Davies, E. B.; Rothaus, O. S.
11
1989
Superderivations and symmetric Markov semigroups. Zbl 0799.46081
Davies, E. Brian; Lindsay, J. Martin
11
1993
Symmetry breaking for a nonlinear Schrödinger equation. Zbl 0405.35027
Davies, E. B.
11
1979
Some commutator estimates in the Schatten classes. Zbl 0692.47009
Abdessemed, A.; Davies, E. B.
11
1989
Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007
Chandler-Wilde, Simon N.; Davies, E. Brian
11
2012
The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053
Davies, E. B.
11
1993
The Choquet theory and representation of ordered Banach spaces. Zbl 0165.46801
Davies, E. B.
11
1969
Eigenvalues of an elliptic system. Zbl 1032.34078
Davies, E. B.
10
2003
Heat kernel bounds on manifolds with cusps. Zbl 0629.53044
Davies, E. B.; Mandouvalos, N.
10
1987
Symmetry breaking for molecular open systems. Zbl 0493.49040
Davies, E. B.
10
1981
Level sets of the resolvent norm of a linear operator revisited. Zbl 1328.47006
Davies, E. Brian; Shargorodsky, Eugene
3
2016
Spectra of a class of non-self-adjoint matrices. Zbl 1286.15011
Davies, E. B.; Levitin, Michael
3
2014
Sectorial perturbations of self-adjoint matrices and operators. Zbl 1292.47002
Davies, E. B.
1
2014
An inverse spectral theorem. Zbl 1274.35410
Davies, E. B.
9
2013
Singular Schrödinger operators in one dimension. Zbl 1282.34087
Davies, E. B.
4
2013
\(C^*\)-algebras associated with some second order differential operators. Zbl 1299.46075
Davies, E. B.; Georgescu, V.
1
2013
Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007
Chandler-Wilde, Simon N.; Davies, E. Brian
11
2012
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
18
2011
Algebraic aspects of spectral theory. Zbl 1210.47063
Davies, E. B.
2
2011
Embeddable Markov matrices. Zbl 1226.60102
Davies, E. B.
23
2010
Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078
Davies, E. Brian; Exner, Pavel; Lipovský, Jiří
17
2010
Convergence of eigenvalues for a highly non-self-adjoint differential operator. Zbl 1196.34112
Davies, E. B.; Weir, John
3
2010
Spectral properties of matrices associated with some directed graphs. Zbl 1189.15011
Davies, E. B.; Incani, P. A.
2
2010
Perturbations of Jordan matrices. Zbl 1164.15004
Davies, E. B.; Hager, Mildred
18
2009
Decomposing the essential spectrum. Zbl 1176.47001
Davies, E. B.
6
2009
Approximate diagonalization. Zbl 1157.65024
Davies, E. B.
14
2008
Linear operators and their spectra. Zbl 1138.47001
Davies, E. Brian
227
2007
Non-selfadjoint operators and pseudospectra. Zbl 1132.47002
Davies, E. B.
19
2007
An indefinite convection-diffusion operator. Zbl 1221.35260
Davies, E. B.
8
2007
Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037
Davies, E. B.; Simon, B.
17
2006
Triviality of the peripheral point spectrum. Zbl 1098.47036
Davies, E. B.
10
2005
Semigroup growth bounds. Zbl 1114.47040
Davies, E. B.
6
2005
A defence of mathematical pluralism. Zbl 1093.03502
Davies, E. B.
4
2005
Spectral bounds using higher-order numerical ranges. Zbl 1119.47004
Davies, E. B.
3
2005
Semi-classical analysis and pseudo-spectra. Zbl 1088.81042
Davies, E. B.
3
2005
Open access lecture notes. Zbl 1137.00309
Davies, E. Brian
3
2005
Pluralism in mathematics. Zbl 1152.03306
Davies, E. B.
1
2005
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
46
2004
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
30
2004
Computing the decay of a simple reversible sub-Markov semigroup. Zbl 1055.65112
Davies, E. B.
1
2004
Eigenvalues of an elliptic system. Zbl 1032.34078
Davies, E. B.
10
2003
Empiricism in arithmetic and analysis. Zbl 1047.00003
Davies, E. B.
1
2003
Quantum mechanics does not require the continuity of space. Zbl 1222.81052
Davies, E. B.
1
2003
Non-self-adjoint differential operators. Zbl 1052.47042
Davies, E. B.
53
2002
Schrödinger operators with slowly decaying potentials. Zbl 1019.34083
Davies, E. B.; Nath, Jiban
33
2002
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
33
2002
Bounds on complex eigenvalues and resonances. Zbl 1123.81415
Abramov, A. A.; Aslanyan, A.; Davies, E. B.
70
2001
Discrete nodal domain theorems. Zbl 0990.05093
Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F.
42
2001
Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002
Davies, E. B.
16
2001
Building infinite machines. Zbl 1020.03004
Davies, E. B.
14
2001
Spectral theory of pseudo-ergodic operators. Zbl 1044.47031
Davies, E. B.
14
2001
Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502
Davies, E. B.
30
2000
Pseudospectra of differential operators. Zbl 0998.34067
Davies, E. Brian
24
2000
Sharp boundary estimates for elliptic operators. Zbl 0963.35146
Davies, E. B.
23
2000
Spectral instability for some Schrödinger operators. Zbl 0964.65076
Aslanyan, A.; Davies, E. B.
19
2000
A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101
Brown, B. M.; Davies, E. B.; Jimack, P. K.
10
2000
A hierarchical method for obtaining eigenvalue enclosures. Zbl 0958.34067
Davies, E. B.
5
2000
On eigenfunction approximations for typical non-selfadjoint Schrödinger operators. Zbl 1024.34077
Aslanyan, A.; Davies, E. B.
2
2000
A review of Hardy inequalities. Zbl 0936.35121
Davies, E. B.
114
1999
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
50
1999
Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060
Davies, E. B.
46
1999
Kato class potentials for higher order elliptic operators. Zbl 0942.35063
Davies, E. B.; Hinz, A. M.
20
1999
Pointwise lower bounds on the heat kernels of higher order elliptic operators. Zbl 0926.35032
Davies, E. B.
2
1999
ICMS lecture notes on computational spectral theory. Zbl 0952.47004
Davies, E. B.
1
1999
Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049
Davies, E. B.; Hinz, A. M.
128
1998
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
42
1998
Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021
Davies, E. B.
20
1998
\(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019
Davies, E. B.
58
1997
Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064
Davies, E. B.
57
1997
Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020
Davies, E. B.
30
1997
Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048
Barbatis, G.; Davies, E. B.
30
1996
\(L^ p\) spectral independence for certain uniformly elliptic operators. Zbl 0864.35077
Davies, E. B.
6
1996
Spectral theory and differential operators. Zbl 0893.47004
Davies, E. B.
372
1995
Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034
Davies, E. B.
101
1995
The Hardy constant. Zbl 0857.26005
Davies, E. B.
59
1995
The functional calculus. Zbl 0858.47012
Davies, E. B.
57
1995
\(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032
Davies, E. B.
30
1995
Long time asymptotics of fourth order parabolic equations. Zbl 0851.35018
Davies, E. B.
8
1995
Heat kernel bounds for higher order elliptic operators. Zbl 0994.58011
Davies, E. B.
4
1995
Nonlinear Schrödinger operators and molecular structure. Zbl 0861.47049
Davies, E. B.
3
1995
Two-dimensional Riemannian manifolds with fractal boundaries. Zbl 0824.58043
Davies, E. B.
3
1994
Large deviations for heat kernels on graphs. Zbl 0799.58086
Davies, E. B.
40
1993
Analysis on graphs and noncommutative geometry. Zbl 0793.46043
Davies, E. B.
23
1993
Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082
Davies, E. B.
16
1993
Superderivations and symmetric Markov semigroups. Zbl 0799.46081
Davies, E. Brian; Lindsay, J. Martin
11
1993
The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053
Davies, E. B.
11
1993
Heat kernels in one dimension. Zbl 0830.34019
Davies, E. B.
7
1993
Heat kernel and Hardy estimates for locally Euclidean manifolds with fractal boundaries. Zbl 0797.58087
Davies, E. B.; Lianantonakis, M.
4
1993
Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041
Davies, E. B.
73
1992
Non-commutative symmetric Markov semigroups. Zbl 0761.46051
Davies, E. Brian; Lindsay, J. Martin
47
1992
Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024
Davies, E. B.; Simon, B.
17
1992
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
13
1992
\(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047
Davies, E. B.; Simon, B.
42
1991
Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031
Davies, E. B.
24
1990
The hyperbolic geometry and spectrum of irregular domains. Zbl 0709.58038
Davies, E. B.; Mandouvalos, N.
2
1990
The eigenvalue gap for second-order elliptic operators with Dirichlet boundary conditions. Zbl 0716.35057
Davies, E. B.; Pang, M. M. H.
1
1990
Heat kernels and spectral theory. Zbl 0699.35006
Davies, E. B.
1989
Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106
Davies, E. B.
37
1989
Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040
van den Berg, M.; Davies, E. B.
29
1989
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
20
1989
Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049
Davies, E. B.; Rothaus, O. S.
11
1989
Some commutator estimates in the Schatten classes. Zbl 0692.47009
Abdessemed, A.; Davies, E. B.
11
1989
A BLW inequality for vector bundles and applications to spectral bounds. Zbl 0696.58046
Davies, E. B.; Rothaus, O. S.
5
1989
Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035
Davies, E. B.; Mandouvalos, N.
89
1988
Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011
Davies, E. B.
44
1988
Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045
Davies, E. B.
40
1988
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
23
1988
Kernel estimates for functions of second order elliptic operators. Zbl 0652.35024
Davies, E. B.
6
1988
Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009
Davies, E. B.
100
1987
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
72
1987
...and 83 more Documents
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Cited by 4,556 Authors

85 Davies, Edward Brian
34 Saloff-Coste, Laurent
31 Gudder, Stanley P.
31 Simon, Barry
31 Wang, Feng-Yu
30 Grigor’yan, Alexander Asaturovich
29 Song, Renming
28 van den Berg, Michiel
27 Ouhabaz, El Maati
26 Gesztesy, Fritz
26 Krejčiřík, David
26 Yan, Lixin
25 Grillo, Gabriele
25 Robinson, Derek William
23 Duong, Xuan Thinh
22 Laptev, Ari
22 Pillet, Claude-Alain
21 Avkhadiev, Farit Gabidinovich
21 Lahti, Pekka Johannes
20 Barbatis, Gerassimos
20 Jakšić, Vojkan
20 Yang, Dachun
19 Chen, Zhen-Qing
19 Frank, Rupert L.
19 Kholevo, Aleksandr Semënovich
19 Jeribi, Aref
19 Sukochev, Fedor Anatol’evich
19 ter Elst, Antonius Frederik Maria
18 Wang, Jian
17 Arendt, Wolfgang
17 Bañuelos, Rodrigo
17 Batty, Charles J. K.
17 Ozawa, Masanao
17 Siegl, Petr
17 Sikora, Adam
17 Vazquez, Juan Luis
16 Ammar, Aymen
16 Boulton, Lyonell
16 Kim, Panki
16 Metafune, Giorgio
16 Mugnolo, Delio
16 Sjöstrand, Johannes
16 Zhang, Qi-Shuhuason
15 Helffer, Bernard
15 Lamberti, Pier Domenico
15 Pang, Michael M. H.
15 Pellonpää, Juha-Pekka
15 Warma, Mahamadi
14 Albeverio, Sergio A.
14 Alicki, Robert
14 Benatti, Fabio
14 Beneduci, Roberto
14 Burenkov, Viktor Ivanovich
14 Exner, Pavel
14 Frigerio, Alberto
14 Fröhlich, Jürg Martin
14 Ishige, Kazuhiro
14 Lu, Guozhen
14 Ruzhansky, Michael V.
13 Fagnola, Franco
13 Ishkin, Khabir Kabirovich
13 Khrennikov, Andreĭ Yur’evich
13 Tertikas, Achilles
13 Yang, Qiaohua
13 Yao, Xiaohua
12 Bagarello, Fabio
12 Barchielli, Alberto
12 Bonforte, Matteo
12 Coulhon, Thierry
12 De Roeck, Wojciech
12 Harrell, Evans M. II
12 Kovařík, Hynek
12 Kumagai, Takashi
12 Lenz, Daniel H.
12 Lindner, Marko
12 Lorenzi, Luca
12 Marletta, Marco
12 Pinchover, Yehuda
12 Punzo, Fabio
12 Ylinen, Kari
11 Accardi, Luigi
11 Chruściński, Dariusz
11 Demuth, Michael
11 Evans, David E.
11 Heinosaari, Teiko
11 Lam, Nguyen
11 Merkli, Marco
11 Murata, Minoru
11 Sinha, Kalyan B.
11 Voigt, Jurgen
10 Barlow, Martin T.
10 Bugajski, Sławomir
10 Cuenin, Jean-Claude
10 deLaubenfels, Ralph J.
10 Floreanini, Roberto
10 Goldstein, Jerome Arthur
10 Hempel, Rainer
10 Hinz, Michael
10 Keller, Matthias
10 Maz’ya, Vladimir Gilelevich
...and 4,456 more Authors
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Cited in 507 Serials

372 Journal of Functional Analysis
231 Journal of Mathematical Physics
201 Communications in Mathematical Physics
167 Journal of Mathematical Analysis and Applications
121 Journal of Differential Equations
91 Potential Analysis
88 Transactions of the American Mathematical Society
77 Mathematische Zeitschrift
76 Proceedings of the American Mathematical Society
73 International Journal of Theoretical Physics
71 Reports on Mathematical Physics
62 Annales Henri Poincaré
54 Mathematische Annalen
53 Integral Equations and Operator Theory
53 Linear Algebra and its Applications
53 Journal of Physics A: Mathematical and Theoretical
49 The Journal of Geometric Analysis
48 Journal of Statistical Physics
48 Advances in Mathematics
47 Physics Letters. A
45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Annals of Physics
41 Reviews in Mathematical Physics
41 The Annals of Probability
41 Semigroup Forum
40 Journal of Spectral Theory
39 Journal of Evolution Equations
38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
38 Stochastic Processes and their Applications
37 Mathematische Nachrichten
37 Probability Theory and Related Fields
35 Calculus of Variations and Partial Differential Equations
34 Letters in Mathematical Physics
30 Communications in Partial Differential Equations
28 Journal of Mathematical Sciences (New York)
28 New Journal of Physics
28 Foundations of Physics
27 Open Systems & Information Dynamics
27 Quantum Information Processing
26 Revista Matemática Iberoamericana
25 Annales de l’Institut Fourier
24 Annali di Matematica Pura ed Applicata. Serie Quarta
24 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Infinite Dimensional Analysis, Quantum Probability and Related Topics
23 Duke Mathematical Journal
21 Mathematical Notes
21 Acta Applicandae Mathematicae
21 Annales de l’Institut Henri Poincaré. Physique Théorique
21 Lobachevskii Journal of Mathematics
19 Journal d’Analyse Mathématique
19 Theoretical and Mathematical Physics
19 Journal of Approximation Theory
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
18 Archive for Rational Mechanics and Analysis
18 Israel Journal of Mathematics
18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
18 The Journal of Fourier Analysis and Applications
18 Positivity
17 Journal of Computational and Applied Mathematics
17 The Annals of Applied Probability
17 SIAM Journal on Mathematical Analysis
17 International Journal of Quantum Information
16 Mathematical Methods in the Applied Sciences
16 Physica A
16 Journal of Geometry and Physics
16 Inventiones Mathematicae
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Journal of Theoretical Probability
15 Archiv der Mathematik
15 Communications on Pure and Applied Analysis
14 Communications on Pure and Applied Mathematics
14 Journal of the London Mathematical Society. Second Series
14 Journal of Soviet Mathematics
14 Manuscripta Mathematica
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
14 Bulletin des Sciences Mathématiques
14 Discrete and Continuous Dynamical Systems
14 Journal of the European Mathematical Society (JEMS)
14 Complex Analysis and Operator Theory
14 Journal of Pseudo-Differential Operators and Applications
13 Mathematics of Computation
13 Journal of the Mathematical Society of Japan
13 Memoirs of the American Mathematical Society
13 Tôhoku Mathematical Journal. Second Series
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Applicable Analysis
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Mathematical Physics, Analysis and Geometry
12 Science China. Mathematics
11 Numerische Mathematik
11 St. Petersburg Mathematical Journal
11 Communications in Contemporary Mathematics
11 Analysis and Mathematical Physics
10 Physica D
10 Forum Mathematicum
10 Electronic Journal of Probability
10 International Journal of Geometric Methods in Modern Physics
10 Discrete and Continuous Dynamical Systems. Series S
10 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
...and 407 more Serials
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Cited in 62 Fields

1,801 Partial differential equations (35-XX)
1,575 Operator theory (47-XX)
1,340 Quantum theory (81-XX)
924 Probability theory and stochastic processes (60-XX)
766 Functional analysis (46-XX)
525 Global analysis, analysis on manifolds (58-XX)
400 Statistical mechanics, structure of matter (82-XX)
260 Ordinary differential equations (34-XX)
232 Real functions (26-XX)
228 Harmonic analysis on Euclidean spaces (42-XX)
213 Differential geometry (53-XX)
193 Potential theory (31-XX)
169 Numerical analysis (65-XX)
130 Linear and multilinear algebra; matrix theory (15-XX)
114 Topological groups, Lie groups (22-XX)
112 Abstract harmonic analysis (43-XX)
110 Dynamical systems and ergodic theory (37-XX)
108 Information and communication theory, circuits (94-XX)
100 Measure and integration (28-XX)
97 Combinatorics (05-XX)
80 Fluid mechanics (76-XX)
71 Systems theory; control (93-XX)
67 Functions of a complex variable (30-XX)
65 Mathematical logic and foundations (03-XX)
60 Statistics (62-XX)
56 Difference and functional equations (39-XX)
54 Calculus of variations and optimal control; optimization (49-XX)
46 Several complex variables and analytic spaces (32-XX)
44 Computer science (68-XX)
43 Relativity and gravitational theory (83-XX)
42 Integral equations (45-XX)
41 Optics, electromagnetic theory (78-XX)
38 Biology and other natural sciences (92-XX)
35 Mechanics of deformable solids (74-XX)
33 Mechanics of particles and systems (70-XX)
32 Approximations and expansions (41-XX)
31 Order, lattices, ordered algebraic structures (06-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Classical thermodynamics, heat transfer (80-XX)
27 Number theory (11-XX)
26 Special functions (33-XX)
21 Convex and discrete geometry (52-XX)
17 Operations research, mathematical programming (90-XX)
16 Group theory and generalizations (20-XX)
16 Integral transforms, operational calculus (44-XX)
15 Nonassociative rings and algebras (17-XX)
14 Algebraic geometry (14-XX)
13 General and overarching topics; collections (00-XX)
10 History and biography (01-XX)
9 Associative rings and algebras (16-XX)
9 General topology (54-XX)
9 Manifolds and cell complexes (57-XX)
8 Geophysics (86-XX)
6 Category theory; homological algebra (18-XX)
4 Geometry (51-XX)
3 Algebraic topology (55-XX)
3 Astronomy and astrophysics (85-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)

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