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Davies, Edward Brian

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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: 200 Publications since 1967, including 7 Books
Biographic References: 1 Publication
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

180 Publications have been cited 5,274 times in 3,848 Documents Cited by Year
Heat kernels and spectral theory. Zbl 0699.35006
Davies, E. B.
873
1989
Quantum theory of open systems. Zbl 0388.46044
Davies, E. B.
494
1976
One-parameter semigroups. Zbl 0457.47030
Davies, E. B.
305
1980
Spectral theory and differential operators. Zbl 0893.47004
Davies, E. B.
228
1995
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. Zbl 0568.47034
Davies, E. B.; Simon, B.
177
1984
An operational approach to quantum probability. Zbl 0194.58304
Davies, E. B.; Lewis, J. T.
176
1970
Markovian master equations. Zbl 0294.60080
Davies, E. B.
165
1974
Linear operators and their spectra. Zbl 1138.47001
Davies, E. Brian
119
2007
Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049
Davies, E. B.; Hinz, A. M.
102
1998
Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009
Davies, E. B.
86
1987
A review of Hardy inequalities. Zbl 0936.35121
Davies, E. B.
77
1999
Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034
Davies, E. B.
75
1995
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
68
1987
Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041
Davies, E. B.
65
1992
Scattering theory for systems with different spatial asymptotics on the left and right. Zbl 0393.34015
Davies, E. B.; Simon, B.
64
1978
Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035
Davies, E. B.; Mandouvalos, N.
58
1988
Quantum dynamical semigroups and the neutron diffusion equation. Zbl 0372.47020
Davies, E. B.
54
1977
Markovian master equations. II. Zbl 0323.60061
Davies, E. B.
51
1976
Bounds on complex eigenvalues and resonances. Zbl 1123.81415
Abramov, A. A.; Aslanyan, A.; Davies, E. B.
45
2001
\(L^ 1\) properties of second order elliptic operators. Zbl 0583.35032
Davies, E. B.
45
1985
Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064
Davies, E. B.
44
1997
\(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019
Davies, E. B.
44
1997
The functional calculus. Zbl 0858.47012
Davies, E. B.
43
1995
The Hardy constant. Zbl 0857.26005
Davies, E. B.
42
1995
Quantum stochastic processes. Zbl 0184.54102
Davies, E. B.
41
1969
Non-self-adjoint differential operators. Zbl 1052.47042
Davies, E. B.
40
2002
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
37
1999
Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011
Davies, E. B.
37
1988
Generators of dynamical semigroups. Zbl 0428.47021
Davies, E. B.
36
1979
Non-commutative symmetric Markov semigroups. Zbl 0761.46051
Davies, E. Brian; Lindsay, J. Martin
36
1992
Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060
Davies, E. B.
36
1999
Information and quantum measurement. Zbl 0382.94009
Davies, E. B.
35
1978
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
35
2004
Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045
Davies, E. B.
34
1988
\(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047
Davies, E. B.; Simon, B.
34
1991
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
34
1998
Quantum stochastic processes. II. Zbl 0199.28202
Davies, E. B.
34
1970
The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023
Davies, E. B.
34
1987
Large deviations for heat kernels on graphs. Zbl 0799.58086
Davies, E. B.
32
1993
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
29
2002
Discrete nodal domain theorems. Zbl 0990.05093
Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F.
29
2001
\(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032
Davies, E. B.
27
1995
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
25
2004
Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020
Davies, E. B.
24
1997
Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502
Davies, E. B.
24
2000
Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020
Davies, E. B.; Harrell, Evans M. II
24
1987
On Enss’ approach to scattering theory. Zbl 0434.47014
Davies, E. B.
23
1980
Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031
Davies, E. B.
23
1990
Schrödinger operators with slowly decaying potentials. Zbl 1019.34083
Davies, E. B.; Nath, Jiban
22
2002
Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106
Davies, E. B.
22
1989
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
22
1988
Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048
Barbatis, G.; Davies, E. B.
21
1996
Pseudospectra of differential operators. Zbl 0998.34067
Davies, E. Brian
20
2000
The structure and ideal theory of the predual of a Banach lattice. Zbl 0159.41503
Davies, E. B.
20
1968
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
19
1989
Non-selfadjoint operators and pseudospectra. Zbl 1132.47002
Davies, E. B.
18
2007
Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021
Davies, E. B.
18
1998
Some contraction semigroups in quantum probability. Zbl 0231.20023
Davies, E. B.
18
1972
Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040
van den Berg, M.; Davies, E. B.
18
1989
Analysis on graphs and noncommutative geometry. Zbl 0793.46043
Davies, E. B.
17
1993
\(L^ 1\)-properties of intrinsic Schrödinger semigroups. Zbl 0613.47039
Davies, E. B.; Simon, B.
16
1986
Irreversible dynamics of infinite Fermion systems. Zbl 0361.47013
Davies, E. B.
16
1977
Some norm bounds and quadratic form inequalities for Schrödinger operators. II. Zbl 0567.47006
Davies, E. B.
16
1984
On the Borel structure of \(C^ *\)-algebras. Zbl 0153.44701
Davies, E. B.
16
1968
Spectral instability for some Schrödinger operators. Zbl 0964.65076
Aslanyan, A.; Davies, E. B.
16
2000
Non-unitary scattering and capture. I: Hilbert space theory. Zbl 0428.47006
Davies, E. B.
15
1980
Heat kernel bounds for second order elliptic operators on Riemannian manifolds. Zbl 0648.58037
Davies, E. B.
15
1987
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
15
2011
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.
14
2006
Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082
Davies, E. B.
14
1993
Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024
Davies, E. B.; Simon, B.
14
1992
Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002
Davies, E. B.
14
2001
Sharp boundary estimates for elliptic operators. Zbl 0963.35146
Davies, E. B.
14
2000
Perturbations of Jordan matrices. Zbl 1164.15004
Davies, E. B.; Hager, Mildred
14
2009
The twisting trick for double well Hamiltonians. Zbl 0524.47019
Davies, E. B.
13
1982
Metastable states of symmetric Markov semigroups. II. Zbl 0527.47028
Davies, E. B.
13
1982
Properties of the Green’s functions of some Schrödinger operators. Zbl 0271.47003
Davies, E. B.
13
1974
Kato class potentials for higher order elliptic operators. Zbl 0942.35063
Davies, E. B.; Hinz, A. M.
12
1999
Spectral theory of pseudo-ergodic operators. Zbl 1044.47031
Davies, E. B.
12
2001
Scattering from infinite sheets. Zbl 0362.47003
Davies, E. B.
12
1977
Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078
Davies, E. Brian; Exner, Pavel; Lipovský, Jiří
12
2010
Symmetry breaking for a nonlinear Schrödinger equation. Zbl 0405.35027
Davies, E. B.
11
1979
Metastable states of symmetric Markov semigroups. I. Zbl 0498.47017
Davies, E. B.
11
1982
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
11
1992
The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053
Davies, E. B.
11
1993
Building infinite machines. Zbl 1020.03004
Davies, E. B.
11
2001
The Choquet theory and representation of ordered Banach spaces. Zbl 0165.46801
Davies, E. B.
11
1969
Tensor products, infinite products, and projective limits of Choquet simplexes. Zbl 0176.42802
Davies, E. B.; Vincent-Smith, G. F.
11
1968
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
Markovian master equations. III. Zbl 0323.60062
Davies, E. B.
10
1975
The classical limit for quantum dynamical semigroups. Zbl 0355.60069
Davies, E. B.
10
1976
Trace properties of the Dirichlet Laplacian. Zbl 0573.35072
Davies, E. B.
10
1985
Quantum stochastic processes. III. Zbl 0217.50701
Davies, E. B.
10
1971
Embeddable Markov matrices. Zbl 1226.60102
Davies, E. B.
10
2010
JWKB and related bounds on Schrödinger eigenfunctions. Zbl 0525.35026
Davies, E. B.
9
1982
Asymptotic analysis of some abstract evolution equations. Zbl 0347.47021
Davies, E. B.
9
1977
Eigenvalues of an elliptic system. Zbl 1032.34078
Davies, E. B.
9
2003
Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049
Davies, E. B.; Rothaus, O. S.
9
1989
Heat kernel bounds on manifolds with cusps. Zbl 0629.53044
Davies, E. B.; Mandouvalos, N.
9
1987
Triviality of the peripheral point spectrum. Zbl 1098.47036
Davies, E. B.
8
2005
Level sets of the resolvent norm of a linear operator revisited. Zbl 1328.47006
Davies, E. Brian; Shargorodsky, Eugene
2
2016
Sectorial perturbations of self-adjoint matrices and operators. Zbl 1292.47002
Davies, E. B.
1
2014
Spectra of a class of non-self-adjoint matrices. Zbl 1286.15011
Davies, E. B.; Levitin, Michael
1
2014
An inverse spectral theorem. Zbl 1274.35410
Davies, E. B.
7
2013
Singular Schrödinger operators in one dimension. Zbl 1282.34087
Davies, E. B.
2
2013
Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007
Chandler-Wilde, Simon N.; Davies, E. Brian
8
2012
Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056
Davies, E. Brian; Pushnitski, Alexander
15
2011
Algebraic aspects of spectral theory. Zbl 1210.47063
Davies, E. B.
2
2011
Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078
Davies, E. Brian; Exner, Pavel; Lipovský, Jiří
12
2010
Embeddable Markov matrices. Zbl 1226.60102
Davies, E. B.
10
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
14
2009
Decomposing the essential spectrum. Zbl 1176.47001
Davies, E. B.
6
2009
Approximate diagonalization. Zbl 1157.65024
Davies, E. B.
7
2008
Linear operators and their spectra. Zbl 1138.47001
Davies, E. Brian
119
2007
Non-selfadjoint operators and pseudospectra. Zbl 1132.47002
Davies, E. B.
18
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.
14
2006
Triviality of the peripheral point spectrum. Zbl 1098.47036
Davies, E. B.
8
2005
A defence of mathematical pluralism. Zbl 1093.03502
Davies, E. B.
4
2005
Semigroup growth bounds. Zbl 1114.47040
Davies, E. B.
4
2005
Open access lecture notes. Zbl 1137.00309
Davies, E. Brian
3
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.
1
2005
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
35
2004
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
25
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.
9
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.
40
2002
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
29
2002
Schrödinger operators with slowly decaying potentials. Zbl 1019.34083
Davies, E. B.; Nath, Jiban
22
2002
Bounds on complex eigenvalues and resonances. Zbl 1123.81415
Abramov, A. A.; Aslanyan, A.; Davies, E. B.
45
2001
Discrete nodal domain theorems. Zbl 0990.05093
Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F.
29
2001
Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002
Davies, E. B.
14
2001
Spectral theory of pseudo-ergodic operators. Zbl 1044.47031
Davies, E. B.
12
2001
Building infinite machines. Zbl 1020.03004
Davies, E. B.
11
2001
Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502
Davies, E. B.
24
2000
Pseudospectra of differential operators. Zbl 0998.34067
Davies, E. Brian
20
2000
Spectral instability for some Schrödinger operators. Zbl 0964.65076
Aslanyan, A.; Davies, E. B.
16
2000
Sharp boundary estimates for elliptic operators. Zbl 0963.35146
Davies, E. B.
14
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.
4
2000
On eigenfunction approximations for typical non-selfadjoint Schrödinger operators. Zbl 1024.34077
Aslanyan, A.; Davies, E. B.
1
2000
A review of Hardy inequalities. Zbl 0936.35121
Davies, E. B.
77
1999
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
37
1999
Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060
Davies, E. B.
36
1999
Kato class potentials for higher order elliptic operators. Zbl 0942.35063
Davies, E. B.; Hinz, A. M.
12
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.
102
1998
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
34
1998
Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021
Davies, E. B.
18
1998
Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064
Davies, E. B.
44
1997
\(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019
Davies, E. B.
44
1997
Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020
Davies, E. B.
24
1997
Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048
Barbatis, G.; Davies, E. B.
21
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.
228
1995
Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034
Davies, E. B.
75
1995
The functional calculus. Zbl 0858.47012
Davies, E. B.
43
1995
The Hardy constant. Zbl 0857.26005
Davies, E. B.
42
1995
\(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032
Davies, E. B.
27
1995
Long time asymptotics of fourth order parabolic equations. Zbl 0851.35018
Davies, E. B.
7
1995
Heat kernel bounds for higher order elliptic operators. Zbl 0994.58011
Davies, E. B.
2
1995
Nonlinear Schrödinger operators and molecular structure. Zbl 0861.47049
Davies, E. B.
2
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.
32
1993
Analysis on graphs and noncommutative geometry. Zbl 0793.46043
Davies, E. B.
17
1993
Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082
Davies, E. B.
14
1993
The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053
Davies, E. B.
11
1993
Superderivations and symmetric Markov semigroups. Zbl 0799.46081
Davies, E. Brian; Lindsay, J. Martin
8
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.
65
1992
Non-commutative symmetric Markov semigroups. Zbl 0761.46051
Davies, E. Brian; Lindsay, J. Martin
36
1992
Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024
Davies, E. B.; Simon, B.
14
1992
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
11
1992
\(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047
Davies, E. B.; Simon, B.
34
1991
Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031
Davies, E. B.
23
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.
873
1989
Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106
Davies, E. B.
22
1989
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
19
1989
Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040
van den Berg, M.; Davies, E. B.
18
1989
Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049
Davies, E. B.; Rothaus, O. S.
9
1989
Some commutator estimates in the Schatten classes. Zbl 0692.47009
Abdessemed, A.; Davies, E. B.
7
1989
A BLW inequality for vector bundles and applications to spectral bounds. Zbl 0696.58046
Davies, E. B.; Rothaus, O. S.
3
1989
Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035
Davies, E. B.; Mandouvalos, N.
58
1988
Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011
Davies, E. B.
37
1988
Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045
Davies, E. B.
34
1988
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
22
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.
86
1987
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
68
1987
The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023
Davies, E. B.
34
1987
Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020
Davies, E. B.; Harrell, Evans M. II
24
1987
...and 80 more Documents
all top 5

Cited by 3,496 Authors

85 Davies, Edward Brian
30 Simon, Barry
28 Saloff-Coste, Laurent
26 Grigor’yan, Alexander Asaturovich
25 Grillo, Gabriele
25 Robinson, Derek W.
25 Song, Renming
23 Ouhabaz, El Maati
23 van den Berg, Michiel
23 Yan, Lixin
22 Wang, Feng-Yu
19 Chen, Zhen-Qing
19 Duong, Xuan Thinh
19 Lahti, Pekka Johannes
19 Pillet, Claude-Alain
18 Jakšić, Vojkan
17 Avkhadiev, Farit Gabidinovich
17 Sikora, Adam S.
17 Yang, Dachun
16 Bañuelos, Rodrigo
16 Barbatis, Gerassimos
16 Gesztesy, Fritz
16 Kholevo, Aleksandr Semënovich
16 Krejčiřík, David
16 Laptev, Ari
16 Vazquez, Juan Luis
15 Batty, Charles J. K.
15 Gudder, Stanley P.
15 Metafune, Giorgio
15 Sukochev, Fedor Anatol’evich
15 Wang, Jian
14 Albeverio, Sergio A.
14 Boulton, Lyonell S.
14 Frigerio, Alberto
14 Kim, Panki
14 ter Elst, Antonius Frederik Maria
14 Warma, Mahamadi
14 Zhang, Qi-Shuhuason
13 Arendt, Wolfgang
13 Frank, Rupert L.
13 Ozawa, Masanao
13 Siegl, Petr
13 Sjöstrand, Johannes
12 Barchielli, Alberto
12 Benatti, Fabio
12 Coulhon, Thierry
12 De Roeck, Wojciech
12 Fagnola, Franco
12 Fröhlich, Jürg Martin
12 Helffer, Bernard
12 Tertikas, Achilles
12 Ylinen, Kari
11 Burenkov, Viktor Ivanovich
11 Cipriani, Fabio
11 Evans, David E.
11 Harrell, Evans M. II
11 Ishkin, Khabir Kabirovich
11 Kumagai, Takashi
11 Murata, Minoru
11 Pellonpää, Juha-Pekka
11 Voigt, Jurgen
10 Bonforte, Matteo
10 Bugajski, Sławomir
10 deLaubenfels, Ralph J.
10 Demuth, Michael
10 Exner, Pavel
10 Heinosaari, Teiko
10 Jeribi, Aref
10 Kovařík, Hynek
10 Lamberti, Pier Domenico
10 Pautrat, Yan
10 Pinchover, Yehuda
10 Punzo, Fabio
10 Ruzhansky, Michael V.
10 Yao, Xiaohua
9 Accardi, Luigi
9 Alicki, Robert
9 Bagarello, Fabio
9 Barlow, Martin T.
9 Beneduci, Roberto
9 Goldstein, Jerome Arthur
9 Hempel, Rainer
9 Ishige, Kazuhiro
9 Lenz, Daniel H.
9 Lindner, Marko
9 Marletta, Marco
9 Mugnolo, Delio
9 Pallara, Diego
9 Pang, Michael M. H.
9 Sinha, Kalyan B.
9 Toigo, Alessandro
9 Yau, Horng-Tzer
9 Zegarlinski, Boguslaw
8 Ammar, Aymen
8 Berchio, Elvise
8 Chuburin, Yuriĭ Pavlovich
8 Dereziński, Jan
8 Edwards, Christopher Martin
8 Filippas, Stathis
8 Floreanini, Roberto
...and 3,396 more Authors
all top 5

Cited in 407 Serials

340 Journal of Functional Analysis
217 Journal of Mathematical Physics
180 Communications in Mathematical Physics
139 Journal of Mathematical Analysis and Applications
105 Journal of Differential Equations
79 Potential Analysis
76 Transactions of the American Mathematical Society
69 Proceedings of the American Mathematical Society
68 Mathematische Zeitschrift
66 International Journal of Theoretical Physics
48 Reports on Mathematical Physics
47 Linear Algebra and its Applications
46 Annales Henri Poincaré
45 Mathematische Annalen
44 Integral Equations and Operator Theory
43 Journal of Statistical Physics
40 Advances in Mathematics
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Reviews in Mathematical Physics
38 The Annals of Probability
38 Semigroup Forum
36 Probability Theory and Related Fields
36 Journal de Mathématiques Pures et Appliquées. Neuvième Série
35 The Journal of Geometric Analysis
34 Stochastic Processes and their Applications
30 Letters in Mathematical Physics
29 Journal of Evolution Equations
28 Physics Letters. A
27 Annals of Physics
26 Foundations of Physics
25 Communications in Partial Differential Equations
25 Journal of Spectral Theory
24 Journal of Mathematical Sciences (New York)
23 Publications of the Research Institute for Mathematical Sciences, Kyoto University
23 Infinite Dimensional Analysis, Quantum Probability and Related Topics
22 Annales de l’Institut Fourier
22 Calculus of Variations and Partial Differential Equations
21 Mathematische Nachrichten
21 Revista Matemática Iberoamericana
21 Annales de l’Institut Henri Poincaré. Physique Théorique
20 Annali di Matematica Pura ed Applicata. Serie Quarta
20 Duke Mathematical Journal
18 Mathematical Notes
18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
18 Acta Applicandae Mathematicae
18 New Journal of Physics
17 Theoretical and Mathematical Physics
17 International Journal of Quantum Information
16 Journal of Approximation Theory
16 Journal of Computational and Applied Mathematics
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Open Systems & Information Dynamics
16 Positivity
15 Journal d’Analyse Mathématique
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
15 The Journal of Fourier Analysis and Applications
14 Journal of Geometry and Physics
14 Inventiones Mathematicae
14 Journal of Soviet Mathematics
14 Lobachevskii Journal of Mathematics
14 Quantum Information Processing
13 Archive for Rational Mechanics and Analysis
13 Israel Journal of Mathematics
13 Manuscripta Mathematica
13 Journal of Theoretical Probability
13 Bulletin des Sciences Mathématiques
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Discrete and Continuous Dynamical Systems
11 Physica A
11 Mathematics of Computation
11 Archiv der Mathematik
11 Memoirs of the American Mathematical Society
11 Tohoku Mathematical Journal. Second Series
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Journal of Physics A: Mathematical and Theoretical
11 Science China. Mathematics
10 Communications on Pure and Applied Mathematics
10 Journal of the Mathematical Society of Japan
10 Physica D
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 St. Petersburg Mathematical Journal
10 Mathematical Physics, Analysis and Geometry
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Communications on Pure and Applied Analysis
9 Stochastic Analysis and Applications
9 Journal of the European Mathematical Society (JEMS)
9 Acta Mathematica Sinica. English Series
9 Communications in Contemporary Mathematics
9 Journal of the Australian Mathematical Society
9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
8 International Journal of Modern Physics B
8 Computers & Mathematics with Applications
8 Journal für die Reine und Angewandte Mathematik
8 Monatshefte für Mathematik
8 Annals of Global Analysis and Geometry
8 The Annals of Applied Probability
8 Journal of Modern Optics
8 International Journal of Geometric Methods in Modern Physics
8 Complex Analysis and Operator Theory
8 Journal of Pseudo-Differential Operators and Applications
...and 307 more Serials
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Cited in 60 Fields

1,342 Partial differential equations (35-XX)
1,256 Operator theory (47-XX)
1,046 Quantum theory (81-XX)
756 Probability theory and stochastic processes (60-XX)
630 Functional analysis (46-XX)
424 Global analysis, analysis on manifolds (58-XX)
336 Statistical mechanics, structure of matter (82-XX)
220 Ordinary differential equations (34-XX)
168 Real functions (26-XX)
168 Harmonic analysis on Euclidean spaces (42-XX)
157 Differential geometry (53-XX)
146 Potential theory (31-XX)
118 Numerical analysis (65-XX)
91 Linear and multilinear algebra; matrix theory (15-XX)
89 Abstract harmonic analysis (43-XX)
88 Topological groups, Lie groups (22-XX)
88 Information and communication theory, circuits (94-XX)
77 Measure and integration (28-XX)
74 Dynamical systems and ergodic theory (37-XX)
66 Combinatorics (05-XX)
57 Fluid mechanics (76-XX)
50 Mathematical logic and foundations (03-XX)
46 Systems theory; control (93-XX)
45 Functions of a complex variable (30-XX)
42 Statistics (62-XX)
38 Difference and functional equations (39-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
31 Optics, electromagnetic theory (78-XX)
29 Several complex variables and analytic spaces (32-XX)
29 Integral equations (45-XX)
28 Computer science (68-XX)
25 Mechanics of deformable solids (74-XX)
25 Biology and other natural sciences (92-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
24 Relativity and gravitational theory (83-XX)
22 Approximations and expansions (41-XX)
21 Number theory (11-XX)
20 Mechanics of particles and systems (70-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Classical thermodynamics, heat transfer (80-XX)
14 Special functions (33-XX)
14 Convex and discrete geometry (52-XX)
12 Operations research, mathematical programming (90-XX)
11 Group theory and generalizations (20-XX)
10 Nonassociative rings and algebras (17-XX)
10 Integral transforms, operational calculus (44-XX)
9 Manifolds and cell complexes (57-XX)
8 General and overarching topics; collections (00-XX)
8 Algebraic geometry (14-XX)
7 General topology (54-XX)
7 Geophysics (86-XX)
6 History and biography (01-XX)
4 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
3 Algebraic topology (55-XX)
2 Geometry (51-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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